Chp 18, 19, 20

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Four point charges are held fixed at the corners of a square as shown in the figure. Which of the five arrows shown below most accurately shows the direction of the net force on the charge -Q due to the presence of the three other charges? -Q___________-2Q | | |__________| -2Q +Q

e) \ \ _____ \ 45 degrees

Two point charges, A and B, lie along a line separated by a distance L. The point x is the midpoint of their separation. A-------X---------B Which combination of charges would yield the greatest repulsive force between the charges? A) -2q and -4q B) +1q and -3q C) -1q and -4q D) -2q and +4q E) +1q and +7q

A) -2q and -4q

. In the figure, point A is a distance L away from a point charge Q. Point B is a distance 4L away from Q. What is the ratio of the electric field at B to that at A, EB/EA? B------------------A-----Q |---------3L--------|---L---| A) 1/16 B) 1/9 C) 1/4 D) 1/3 E) This cannot be determined since neither the value of Q nor the length L is specified.

A) 1/16

Two positive point charges Q and 2Q are separated by a distance R. If the charge Q experiences a force of magnitude F when the separation is R, what is the magnitude of the force on the charge 2Q when the separation is 2R ? A) F/4 B) F/2 C) F D) 2F E) 4F

A) F/4

Two point charges are arranged along the x axis as shown in the figure. At which of the following values of x is the electric potential equal to zero? Note: At infinity, the electric potential is zero. +2.0 uC -5.0uC o----------------------o------------> | | 0 1.0 m A) +0.05 m B) +0.29 m C) +0.40 m D) +0.54 m E) +0.71 m

B) +0.29 m

A conducting sphere carries a net charge of +6 µC. The sphere is located at the center of a conducting spherical shell that carries a net charge of -2 µC. Determine the excess charge on the outer surface of the spherical shell. conducting sphere {(o)} conducting shell A) -4 µC B) +4 µC C) -8 µC D) +8 µC E) +6 µC

B) +4 µC

The figure shows the electric field lines in the vicinity of two point charges. Which one of the following statements concerning this situation is true? A) q1 is negative and q2 is positive. B) The magnitude of the ratio (q2/ q1) is less than one. C) Both q1and q2 have the same sign of charge. D) The magnitude of the electric field is the same everywhere. E) The electric field is strongest midway between the charges.

B) The magnitude of the ratio (q2/ q1) is less than one.

An electric dipole is released from rest in a uniform electric field with the orientation shown. Which entry in the table below correctly describes the net torque and the net force on the dipole? ------------------> ----(+Q)---------> ------|-----------> E -----(-Q)--------> net torque net force A) zero zero B) clockwise zero C) counterclockwise zero D) clockwise non-zero E) counterclockwise non-zero

B) clockwise zero

A charge is located at the center of sphere A (radius RA = 0.0010 m), which is in the center of sphere B (radius RB = 0.0012 m). Spheres A and B are both equipotential surfaces. What is the ratio VA/VB of the potentials of these surfaces? A) 0.42 B) 0.83 C) 1.2 D) 1.4 E) 2.4

C) 1.2

A circular loop of wire with a diameter of 0.626 m is rotated in a uniform electric field to a position where the electric flux through the loop is a maximum. At this position, the electric flux is 7.50 x 10^5 N⋅m2/C. Determine the magnitude of the electric field. A) 8.88 x 10^5 N/C B) 1.07 x 10^6 N/C C) 2.44 x 10^6 N/C D) 4.24 x 10^6 N/C E) 6.00 x 10^6 N/C

C) 2.44 x 10^6 N/C

A solid, conducting sphere of radius a carries an excess charge of +6 µC. This sphere is located at the center of a hollow, conducting sphere with an inner radius of b and an outer radius of c as shown. The hollow sphere also carries a total excess charge of +6 µC. Determine the excess charge on the outer surface of the outer sphere (a distance c from the center of the system). A) zero coulombs B) -6 μC C) +6 μC D) +12 μC E) -12 μC

D) +12 μC

The electric potential at a certain point is space is 12 V. What is the electric potential energy of a -3.0 μC charge placed at that point? A) +4 μJ B) -4 μJ C) +36 μJ D) -36 μJ E) zero µJ

D) -36 μJ

A conducting sphere has a net charge of -6.4 x 10-17 C. What is the approximate number of excess electrons on the sphere? A) 100 B) 200 C) 300 D) 400 E) 500

D) 400

An electron traveling horizontally enters a region where a uniform electric field is directed upward. What is the direction of the force exerted on the electron once it has entered the field? electron --> | | | | A) to the left B) to the right C) upward D) downward E) out of the page, toward the reader

D) downward

E) 100 V/m

Five particles are shot from the left into a region that contains a uniform electric field. The numbered lines show the paths taken by the five particles. A negatively charged particle with a charge -3Q follows path 2 while it moves through this field. Do not consider any effects due to gravity Which path would be followed by a charge +6Q? A) path 1 B) path 2 C) path 3 D) path 4 E) path 5

E) path 5

Two particles of the same mass carry charges +3Q and -2Q, respectively. They are shot into a region that contains a uniform electric field as shown. The particles have the same initial velocities in the positive x direction. The lines, numbered 1 through 5, indicate possible paths for the particles. If the electric field points in the negative y direction, what will be the resulting paths for these particles? A) path 1 for +3Q and path 4 for -2Q B) path 3 for +3Q and path 2 for -2Q C) path 4 for +3Q and path 3 for -2Q D) path 2 for +3Q and path 5 for -2Q E) path 5 for +3Q and path 2 for -2Q

E) path 5 for +3Q and path 2 for -2Q

The figure shows a simple RC circuit consisting of a 10.0-µF capacitor in series with a resistor. Initially, the switch is open as suggested in the figure. The capacitor has been charged so that the potential difference between its plates is 100.0 V. At t = 0 s, the switch is closed. The capacitor discharges exponentially so that 2.0 s after the switch is closed, the potential difference between the capacitor plates is 37 V. In other words, in 2.0 s the potential difference between the capacitor plates is reduced to 37 % of its original value. _____________^^^^____| | R | | | |___||_____________\____| 10 uF switch Determine the numerical value of the resistance R. A) 1.0 x 10^5 Ω B) 2.0 x 10^5 Ω C) 5.0 x 10^5 Ω D) 1.0 x 10^6 Ω E) 2.5 x 10^6 Ω

B) 2.0 x 10^5 Ω

Three resistors are placed in a circuit as shown. The potential difference between points A and B is 30 V 60 ohm 10 ohm 30 ohm What is the potential drop across the 30-Ω resistor? A) 10 V B) 20 V C) 30 V D) 60 V E) 100 V

B) 20 V

Five resistors are connected as shown in the diagram. The potential difference between points A and B is 25 A 3.6 ohm 3.5 ohm 1.8 ohm B 2.4 ohm 5.1 ohm What is the current through the 3.6-Ω resistor? A) 1.3 A B) 3.3 A C) 6.9 A D) 7.5 A E) 25 A

B) 3.3 A

The figure shows a simple RC circuit consisting of a 10.0-µF capacitor in series with a resistor. Initially, the switch is open as suggested in the figure. The capacitor has been charged so that the potential difference between its plates is 100.0 V. At t = 0 s, the switch is closed. The capacitor discharges exponentially so that 2.0 s after the switch is closed, the potential difference between the capacitor plates is 37 V. In other words, in 2.0 s the potential difference between the capacitor plates is reduced to 37 % of its original value. _____________^^^^____| | R | | | |___||_____________\____| 10 uF switch Determine the potential drop across the resistor R at t = 2.0 s (i.e., two seconds after the switch is closed). A) zero volts B) 37 V C) 63 V D) 87 V E) 100 V

B) 37 V

How much current flows through the 2-Ω resistor? A) 2.0 A B) 4.0 A C) 6.0 A D) 8.7 A E) 10.0 A

B) 4.0 A

Three resistors are connected as shown in the figure. The potential difference between points A and B is 26 V. What is the equivalent resistance between the points A and B? A) 3.8 Ω B) 4.3 Ω C) 5.1 Ω D) 6.8 Ω E) 9.0 Ω

B) 4.3 Ω

Two identical conducting spheres carry charges of +5.0 μC and -1.0 μC, respectively. The centers of the spheres are initially separated by a distance L. The two spheres are brought together so that they are in contact. The spheres are then returned to their original separation L. What is the ratio of the magnitude of the electric force on either sphere after the spheres are touched to that before they were touched? A) 1/1 B) 4/5 C) 9/5 D) 5/1 E) 4/9

B) 4/5

A 10.0-µF capacitor is charged so that the potential difference between its plates is 10.0 V. A 5.0-µF capacitor is similarly charged so that the potential difference between its plates is 5.0 V. The two charged capacitors are then connected to each other in parallel with positive plate connected to positive plate and negative plate connected to negative plate. How much energy is dissipated when the two capacitors are connected together? A) 33 μJ B) 42 μJ C) 63 μJ D) 130 μJ E) 560 μJ

B) 42 μJ

The figure shows variation of the current through the heating element with time in an iron when it is plugged into a standard 120 V, 60 Hz outlet. What is the rms value of the current in this circuit? A) 1.4 A B) 7.1 A C) 11 A D) 14 A E) 18 A

B) 7.1 A

Five styrofoam balls are suspended from insulating threads. Several experiments are performed on the balls; and the following observations are made: I. Ball A attracts B and A repels C. II. Ball D attracts B and D has no effect on E. III. A negatively charged rod attracts both A and E. What are the charges, if any, on each ball? A B C D E A) + - + 0 + B) + - + + 0 C) + - + 0 0 D) - + - 0 0 E) + 0 - + 0

C) + - + 0 0

The sketch below shows cross sections of equipotential surfaces between two charged conductors that are shown in solid grey. Various points on the equipotential surfaces near the conductors are labeled A, B, C, ..., I. How much work is required to move a ñ1.0 μC charge from A to E? A) +3.0 x 10^-5 J B) -4.0 x 10^-5 J C) +7.0 x 10^-5 J D) -7.0 x 10^-5 J E) zero joules

C) +7.0 x 10^-5 J

What is the magnitude and direction of the electric force on a -3.0 µC charge at a point where the electric field is 2800 N/C and is directed along the +y axis. A) 0.018 N, -y direction B) 0.012 N, +y direction C) 0.0084 N, -y direction D) 0.0056 N, +y direction E) 0.022 N, +x direction

C) 0.0084 N, -y direction

How much energy is stored in the combination of capacitors shown? ____________________ | ___|____ 100V 4.0 uF=___ ___= 2.0 uF |_____________________| A) 0.01 J B) 0.02 J C) 0.03 J D) 0.04 J E) 0.05 J

C) 0.03 J

A 4.5-V battery is connected to two resistors (68 ohms each) connected in series as shown in the drawing. Determine the total power dissipated in the resistors. A) 0.033 W B) 0.090 W C) 0.15 W D) 0.60 W E) 4.7 W

C) 0.15 W

Three resistors are placed in a circuit as shown. The potential difference between points A and B is 30 V 60 ohm 10 ohm 30 ohm What is the current through the 30-Ω resistor? A) 0.3 A B) 0.5 A C) 0.7 A D) 1 A E) 2 A

C) 0.7 A

A parallel plate capacitor has plates of area 2.0 x 10^-3 m2 and plate separation 1.0 x 10^-4 m. Air fills the volume between the plates. What potential difference is required to establish a 3.0 μC charge on the plates? A) 9.3 x 10^2 V B) 2.4 x 10^4 V C) 1.7 x 10^4 V D) 6.9 x 10^3 V E) 3.7 x 10^5 V

C) 1.7 x 10^4 V

The effective area of each plate of a parallel plate capacitor is 2.1 m2. The capacitor is filled with neoprene rubber (κ = 6.4). When a 6.0-V potential difference exists across the plates of the capacitor, the capacitor stores 4.0 µC of charge. Determine the plate separation of the capacitor. A) 7.2 x 10^-5 m B) 3.0 x 10^-4 m C) 1.8 x 10^-4 m D) 5.3 x 10^-4 m E) 8.2 x 10^-5 m

C) 1.8 x 10^-4 m

Two resistors are arranged in a circuit that carries a total current of 15 A as shown in the figure. Which one of the entries in the following table is correct? Current through 2-Ω resistor Voltage across 4-Ω resistor A) 5 A 10 V B) 5 A 20 V C) 10 A 20 V D) 15 A 15 V E) 10 A 10 V

C) 10 A 20 V

The figure shows variation of the current through the heating element with time in an iron when it is plugged into a standard 120 V, 60 Hz outlet. What is the resistance of the iron? A) 24 Ω B) 7.1 Ω C) 17 Ω D) 12 Ω E) 1.8 Ω

C) 17Ω

A parallel plate capacitor has a potential difference between its plates of 1.6 V and a plate separation distance of 2.5 mm. What is the magnitude of the electric field if a material that has a dielectric constant of 3.4 is inserted between the plates? A) 110 V/m B) 170 V/m C) 190 V/m D) 240 V/m E) 290 V/m

C) 190 V/m

Three resistors, 4.0-Ω, 8.0-Ω, 16-Ω, are connected in parallel in a circuit. What is the equivalent resistance of this combination of resistors? A) 30 Ω B) 10 Ω C) 2.3 Ω D) 2.9 Ω E) 0.34 Ω

C) 2.3 Ω

Three parallel plate capacitors, each having a capacitance of 1.0 µF are connected in parallel. The potential difference across the combination is 100 V. What is the equivalent capacitance of this combination? A) 0.3 μF B) 1 μF C) 3 μF D) 6 μF E) 30 μF

C) 3 μF

The plates of a parallel plate capacitor each have an area of 0.40 m2 and are separated by a distance of 0.02 m. They are charged until the potential difference between the plates is 3000 V. The charged capacitor is then isolated. Suppose that a dielectric sheet is inserted to completely fill the space between the plates and the potential difference between the plates drops to 1000 V. Determine the dielectric constant. A) 0.333 B) 0.666 C) 3.0 D) 6.0 E) 2000

C) 3.0

The figure shows a simple RC circuit consisting of a 100.0-V battery in series with a 10.0-µF capacitor and a resistor. Initially, the switch S is open and the capacitor is uncharged. Two seconds after the switch is closed, the voltage across the resistor is 37 V. ___/ ______ _____ | ^^^ | 100 V =10 uF |_____________________| How much charge is on the capacitor 2.0 s after the switch is closed? A) 1.1 x 10^-3 C B) 2.9 x 10^-3 C C) 3.7 x 10^-4 C D) 5.2 x 10^-4 C E) 6.6 x 10^-4 C

C) 3.7 x 10^-4 C

Three resistors are placed in a circuit as shown. The potential difference between points A and B is 30 V. 60 ohm 10 ohm 30 ohm What is the equivalent resistance between the points A and B? A) 10 Ω B) 20 Ω C) 30 Ω D) 50 Ω E) 100 Ω

C) 30 Ω

C) 5

The plates of a parallel plate capacitor each have an area of 0.40 m2 and are separated by a distance of 0.02 m. They are charged until the potential difference between the plates is 3000 V. The charged capacitor is then isolated. Suppose that a dielectric sheet is inserted to completely fill the space between the plates and the potential difference between the plates drops to 1000 V. What is the capacitance of the system after the dielectric is inserted? A) 1.8 x 10^-10 F B) 2.7 x 10^-10 F C) 5.4 x 10^-10 F D) 6.2 x 10^-10 F E) 6.8 x 10^-10 F

C) 5.4 x 10^-10 F

Which one of the following quantities can be converted to kilowatt ⋅ hours (kWh)? A) 2.0 A B) 8.3 V C) 5.8 J D) 9.6 W E) 6.2 C/V

C) 5.8 J

Five resistors are connected as shown in the diagram. The potential difference between points A and B is 25 A 3.6 ohm 3.5 ohm 1.8 ohm B 2.4 ohm 5.1 ohm How much energy is dissipated in the 1.8-Ω resistor in 4.0 seconds? A) 18 J B) 28 J C) 55 J D) 64 J E) 93 J

C) 55 J

How much current flows through the 3-Ω resistor? A) 2.0 A B) 4.0 A C) 6.0 A D) 8.7 A E) 10.0 A

C) 6.0 A

Five resistors are connected as shown in the diagram. The potential difference between points A and B is 25 V. A 3.6 ohm 3.5 ohm 1.8 ohm B 2.4 ohm 5.1 ohm What is the equivalent resistance between the points A and B? A) 1.5 Ω B) 4.8 Ω C) 7.5 Ω D) 9.4 Ω E) 11 Ω

C) 7.5 Ω

An uncharged 5.0-µF capacitor and a resistor are connected in series to a 12-V battery and an open switch to form a simple RC circuit. The switch is closed at t = 0 s. The time constant of the circuit is 4.0 s. Determine the value of the resistance R. A) 15 Ω B) 60 Ω C) 8.0 x 10^5 Ω D) 8.0 x 10^7 Ω E) 8.0 x 10^8 Ω

C) 8.0 x 10^5 Ω

Five resistors are connected as shown in the diagram. The potential difference between points A and B is 15 V. A 3.2 Ω ________|_____4.1 Ω_______| 2.7 Ω 2.4 Ω |___________________|___________ 3.6 Ω B 68. What is the equivalent resistance between the points A and B? A) 1.5 Ω B) 4.8 Ω C) 8.7 Ω D) 10.4 Ω E) 11.1 Ω

C) 8.7 Ω

What is the approximate average power dissipated in the iron? A) 450 W B) 600 W C) 850 W D) 1200 W E) 1700 W

C) 850 W

Two positive charges are located at points A and B as shown in the figure. The distance from each charge to the point P is a = 2.0 m. A o +3.0uc | a | | |_______________o+3.0 uC P B Determine the magnitude of the electric field at the point P. A) 3.38 x 10^3 V/m B) 6.75 x 10^3 V/m C) 9.55 x 10^3 V/m D) 1.35 x 10^4 V/m E) 2.70 x 10^4 V/m

C) 9.55 x 10^3 V/m

Which one of the following statements concerning superconductors is false? A) Below its critical temperature, the resistivity of a superconductor is zero Ω-m. B) Critical temperatures for some superconductors exceed 100 K. C) All materials are superconducting at temperatures near absolute zero kelvin. D) A constant current can be maintained in a superconducting ring for several years without an emf. E) Superconductors are perfect conductors.

C) All materials are superconducting at temperatures near absolute zero kelvin.

The magnitude of the charge on the plates of an isolated parallel plate capacitor is doubled. Which one of the following statements is true concerning the capacitance of this parallel-plate system? A) The capacitance is decreased to one half of its original value. B) The capacitance is increased to twice its original value. C) The capacitance remains unchanged. D) The capacitance depends on the electric field between the plates. E) The capacitance depends on the potential difference across the plates.

C) The capacitance remains unchanged.

A parallel plate capacitor with plates of area A and plate separation d is charged so that the potential difference between its plates is V. If the capacitor is then isolated and its plate separation is decreased to d/2, what happens to the potential difference between the plates? A) The final potential difference is 4V. B) The final potential difference is 2V. C) The final potential difference is 0.5V. D) The final potential difference is 0.25V. E) The final potential difference is V.

C) The final potential difference is 0.5V.

The potential difference across the ends of a wire is doubled in magnitude. If Ohm's law is obeyed, which one of the following statements concerning the resistance of the wire is true? A) The resistance is one half of its original value. B) The resistance is twice its original value. C) The resistance is not changed. D) The resistance increases by a factor of four. E) The resistance decreases by a factor of four.

C) The resistance is not changed

Which one of the following statements concerning resistance is true? A) The resistance of a semiconductor increases with temperature. B) Resistance is a property of resistors, but not conductors. C) The resistance of a metal wire changes with temperature. D) The resistance is the same for all samples of the same material. E) The resistance of a wire is inversely proportional to the length of the wire.

C) The resistance of a metal wire changes with temperature.

Which one of the following statements concerning capacitors of unequal capacitance connected in series is true? A) Each capacitor holds a different amount of charge. B) The equivalent capacitance of the circuit is the sum of the individual capacitances. C) The total voltage supplied by the battery is the sum of the voltages across each capacitor. D) The total positive charge in the circuit is the sum of the positive charges on each capacitor. E) The total voltage supplied by the battery is equal to the average voltage across all the capacitors.

C) The total voltage supplied by the battery is the sum of the voltages across each capacitor.

Which one of the following situations results in a conventional electric current that flows northward? A) a beam of protons moves eastward B) an electric dipole moves southward C) a beam of electrons moves southward D) a beam of electrons moves northward E) a beam of protons moves northward

C) a beam of electrons moves southward

The current through a certain heater wire is found to be fairly independent of its temperature. If the current through the heater wire is doubled, the amount of energy delivered by the heater in a given time interval will A) increase by a factor of two. B) decrease by a factor of two. C) increase by a factor of four. D) decrease by a factor of four. E) increase by a factor of eight.

C) increase by a factor of four.

Which one of the following changes will necessarily increase the capacitance of a capacitor? A) decreasing the charge on the plates B) increasing the charge on the plates C) placing a dielectric between the plates D) increasing the potential difference between the plates E) decreasing the potential difference between the plates

C) placing a dielectric between the plates

Complete the following statement: A simple series circuit contains a resistance R and an ideal battery. If a second resistor is connected in parallel with R, A) the voltage across R will decrease. B) the current through R will decrease. C) the total current through the battery will increase. D) the rate of energy dissipation in R will increase. E) the equivalent resistance of the circuit will increase.

C) the total current through the battery will increase.

What is the equivalent capacitance of the combination of capacitors shown in the circuit? ____________________ | ____|____ 100V 1.0 uF=___ ___= 1.0 uF |__||_________________| A) 0.37 µF B) 3.3 µF C) 4.6 µF D) 0.67 µF E) 2.1 µF

D) 0.67 µF

A battery is manufactured to have an emf of 24.0 V, but the terminal voltage is only 22.0 V when the battery is connected across a 10.0-Ω resistor. What is the internal resistance of the battery? A) 3.9 Ω B) 0.46 Ω C) 1.2 Ω D) 0.91 Ω E) 0.68 Ω

D) 0.91 Ω

Three resistors and two 10.0-V batteries are arranged as shown in the circuit diagram. Which one of the following entries in the table is correct? 40 ohm 10 ohm V1 12 ohm V2 Power Battery 1 Power by Battery 2 A) 2.5 W 2.5 W B) 4.0 W 1.0 W C) 1.0 W 1.0 W D) 1.0 W 4.0 W E) 4.0 W 4.0 W

D) 1.0 W 4.0 W

A -4.0-µC charge is located 0.45 m to the left of a +6.0-µC charge. What is the magnitude and direction of the electrostatic force on the positive charge? A) 2.2 N, to the right B) 2.2 N, to the left C) 1.1 N, to the right D) 1.1 N, to the left E) 4.4 N, to the right

D) 1.1 N, to the left

The plates of a parallel plate capacitor each have an area of 0.40 m2 and are separated by a distance of 0.02 m. They are charged until the potential difference between the plates is 3000 V. The charged capacitor is then isolated. Determine the magnitude of the electric field between the capacitor plates. A) 60 V/m B) 120 V/m C) 1.0 x 10^5 V/m D) 1.5 x 10^5 V/m E) 3.0 x 105 V/m

D) 1.5 x 10^5 V/m

Four point charges are placed at the corners of a square as shown in the figure. Each side of the square has length 2.0 m. Determine the magnitude of the electric field at the point P, the center of the square. +4uC-------------+1uC | | | | | | -3uC-------------+4uC A) 2.0 x 10^-6 N/C B) 3.0 x 10^-6 N/C C) 9.0 x 10^3 N/C D) 1.8 x 10^4 N/C E) 2.7 x 104 N/C

D) 1.8 x 10^4 N/C

The figure shows variation of the current through the heating element with time in an iron when it is plugged into a standard 120 V, 60 Hz outlet. What is the peak voltage? A) 10 V B) 60 V C) 120 V D) 170 V E) 240 V

D) 170 V

Determine the ratio of the electrostatic force to the gravitational force between a proton and an electron, FE/FG. Note: k = 8.99 x 10^9 N-m2/C2; G = 6.672 x 10^-11 N-m2/kg2; me = 9.109 x 10^-31 kg; and mp = 1.672 x 10^-27 kg. A) 1.24 x 10^23 B) 2.52 x 10^29 C) 1.15 x 10^31 D) 2.26 x 10^39 E) 1.42 x 10^58

D) 2.26 x 10^39

Two positive charges are located at points A and B as shown in the figure. The distance from each charge to the point P is a = 2.0 m. A o +3.0uc | a | | |_______________o+3.0 uC P B Determine the electric potential at the point P. A) 1.35 x 10^4 V B) 1.89 x 10^4 V C) 2.30 x 10^4 V D) 2.70 x 10^4 V E) 3.68 x 10^4 V

D) 2.70 x 10^4 V

Five resistors are connected as shown in the diagram. The potential difference between points A and B is 15 V. A 3.2 Ω ________|_____4.1 Ω_______| 2.7 Ω 2.4 Ω |___________________|___________ 3.6 Ω B What amount of energy is dissipated in the 2.7-Ω resistor in 9.0 seconds? A) 15 J B) 24 J C) 29 J D) 36 J E) 52 J

D) 36 J

The figure shows a circuit. The switch S can be closed on either point A or C, but not both at the same time. Use the following quantities: V1 = V2 = 12 V R1 = R4 = 1.0 Ω R2 = R3 = 2.0 Ω 99. At what rate is energy dissipated by R1 when the switch S is closed on A? A) 1 W B) 4 W C) 9 W D) 36 W E) 144 W

D) 36 W

A 3.0-A current is maintained in a simple circuit that consists of a resistor between the terminals of an ideal battery. If the battery supplies energy at a rate of 25 W, how large is the resistance? A) 0.40 Ω B) 0.80 Ω C) 2.4 Ω D) 4.2 Ω E) 8.8 Ω

D) 4.2 Ω

An ac current has an rms value of 3.54 A. Determine the peak value of the current. A) 1.25 A B) 2.50 A C) 3.75 A D) 5.00 A E) 7.08 A

D) 5.00 A

The plates of a parallel plate capacitor each have an area of 0.40 m2 and are separated by a distance of 0.02 m. They are charged until the potential difference between the plates is 3000 V. The charged capacitor is then isolated. Determine the magnitude of the charge on either capacitor plate. A) 1.8 x 10^-7 C B) 2.7 x 10^-7 C C) 4.9 x 10^-7 C D) 5.4 x 10^-7 C E) 6.8 x 10^-7 C

D) 5.4 x 10^-7 C

D) 50 V

The figure shows a circuit. The switch S can be closed on either point A or C, but not both at the same time. Use the following quantities: V1 = V2 = 12 V R1 = R4 = 1.0 Ω R2 = R3 = 2.0 Ω 98. Determine the current through R1 when the switch S is closed on A. A) 1 A B) 2 A C) 3 A D) 6 A E) 12 A

D) 6 A

The sketch shows cross sections of equipotential surfaces between two charged conductors shown in solid black. Points on the equipotential surfaces near the conductors are labeled A, B, C, ..., H What is the magnitude of the potential difference between points A and H? A) 100 V B) 200 V C) 400 V D) 600 V E) 700 V

D) 600 V

Determine the length of a copper wire that has a resistance of 0.172 Ω and cross-sectional area of 7.85 ◊ 10^-5 m2. The resistivity of copper is 1.72 x 10^-8 Ω ⋅ m. A) 873 m B) 250 m C) 78.5 m D) 785 m E) 6570 m

D) 785 m

An RC circuit consists of a resistor with resistance 1.0 kΩ, a 120-V battery, and two capacitors, C1 and C2, with capacitances of 20.0 µF and 60.0 µF, respectively. Initially, the capacitors are uncharged; and the switch is closed at t = 0 s. What is the time constant of the circuit? A) 1.0 x 10^-2 s B) 2.0 x 10^-2 s C) 6.0 x 10^-2 s D) 8.0 x 10^-2 s E) 3.0 x 10^-1 s

D) 8.0 x 10^-2 s

A 3.0-µF capacitor is connected in series with a 4.0-µF capacitor and a 48-V battery. What quantity of charge is supplied by the battery to charge the capacitors? A) 3.4 x 10^-4 C B) 7.3 x 10^-4 C C) 3.0 x 10^-5 C D) 8.2 x 10^-5 C E) 1.8 x 10^-6 C

D) 8.2 x 10^-5 C

A 10.0-µF capacitor is charged so that the potential difference between its plates is 10.0 V. A 5.0-µF capacitor is similarly charged so that the potential difference between its plates is 5.0 V. The two charged capacitors are then connected to each other in parallel with positive plate connected to positive plate and negative plate connected to negative plate. What is the final potential difference across the plates of the capacitors when they are connected in parallel? A) 5.0 V B) 6.7 V C) 7.5 V D) 8.3 V E) 10 V

D) 8.3 V

One mole of a substance contains 6.02 x 10^23 protons and an equal number of electrons. If the protons could somehow be separated from the electrons and placed in very small, individual containers separated by a million meters, what would be the magnitude of the electrostatic force exerted by one box on the other? A) 8.7 x 10^3 N B) 9.5 x 10^4 N C) 2.2 x 10^5 N D) 8.4 x 10^7 N E) 1.6 x 10^8 N

D) 8.4 x 10^7 N

D) B, A, D, C

Which one of the following combinations of units is equivalent to the ohm? A) V/C B) A/J C) J/s D) J⋅s/C2 E) W/A

D) J⋅s/C2

Two wires A and B are made of the same material and have the same diameter. Wire A is twice as long as wire B. If each wire has the same potential difference across its ends, which one of the following statements is true concerning the current in wire A? A) The current is one-fourth that in B. B) The current is four times that in B. C) The current is equal to the current in B. D) The current is half as much as that in B. E) It is twice as much as that in B.

D) The current is half as much as that in B.

Which one of the following statements is true concerning the spacing of the electric field lines in the vicinity of two point charges of equal magnitude and opposite sign? A) The spacing indicates the direction of the electric field. B) The spacing does not depend on the magnitude of the charges. C) The spacing is large when the magnitude of the charges is large. D) The spacing indicates the relative magnitude of the electric field. E) The spacing is small when the magnitude of the charges is small.

D) The spacing indicates the relative magnitude of the electric field.

Which one of the following statements best explains why it is possible to define an electrostatic potential in a region of space that contains an electrostatic field? A) Work must be done to bring two positive charges closer together. B) Like charges repel one another and unlike charges attract one another. C) A positive charge will gain kinetic energy as it approaches a negative charge. D) The work required to bring two charges together is independent of the path taken. E) A negative charge will gain kinetic energy as it moves away from another negative charge.

D) The work required to bring two charges together is independent of the path taken.

Complete the following statement: When an ebonite rod is rubbed with animal fur, the rod becomes negatively charged as A) positive charges are transferred from the fur to the rod. B) negative charges are transferred from the rod to the fur. C) negative charges are created on the surface of the rod. D) negative charges are transferred from the fur to the rod. E) positive charges are transferred from the rod to the fur.

D) negative charges are transferred from the fur to the rod.

Four resistors and a 6-V battery are arranged as shown in the circuit diagram. The smallest current passes through which resistor(s)? A) the 10-Ω resistor B) the 20-Ω resistor C) the 30-Ω resistor D) the 60-Ω resistor E) It is the same and the smallest in the 30-Ω and 60-Ω resistors.

D) the 60-Ω resistor

Complete the following statement: When a dielectric with constant κ is inserted between the plates of a charged isolated capacitor A) the capacitance is reduced by a factor κ. B) the charge on the plates is reduced by a factor of κ. C) the charge on the plates is increased by a factor of κ. D) the electric field between the plates is reduced by a factor of κ. E) the potential difference between the plates is increased by a factor of κ.

D) the electric field between the plates is reduced by a factor of κ.

Five particles are shot from the left into a region that contains a uniform electric field. The numbered lines show the paths taken by the five particles. A negatively charged particle with a charge -3Q follows path 2 while it moves through this field. Do not consider any effects due to gravity In which direction does the electric field point? A) toward the top of the page B) toward the left of the page C) toward the right of the page D) toward the bottom of the page E) out of the page, toward the reader

D) toward the bottom of the page

Wire Material Length Gauge A iron 2.0 m #22 B copper 2.0 m #22 C copper 2.0 m #18 D copper 1.0 m #18 E iron 2.0 m #18 The gauge is a measure of the diameter of the wire; and #18 corresponds to a diameter of 1.2 x 10^-3 m; and #22 corresponds to a diameter of 6.4 x 10^-4 m. The resistivity of iron is 9.7 x 10^-8 Ω ⋅ m; and the value for copper is 1.72 x 10^-8 Ω ⋅ m. Of the five wires, which one has the smallest resistance? A) wire A B) wire B C) wire C D) wire D E) wire E

D) wire D

A computer monitor uses 1.5 A of current when it is plugged into a 120 V outlet. The monitor is never turned off. What is the yearly cost of operating the monitor if the cost of electricity is $0.14/kWh? A) $ 64 B) $ 81 C) $ 110 D) $ 190 E) $ 220

E) $ 220

The figure shows a simple RC circuit consisting of a 10.0-µF capacitor in series with a resistor. Initially, the switch is open as suggested in the figure. The capacitor has been charged so that the potential difference between its plates is 100.0 V. At t = 0 s, the switch is closed. The capacitor discharges exponentially so that 2.0 s after the switch is closed, the potential difference between the capacitor plates is 37 V. In other words, in 2.0 s the potential difference between the capacitor plates is reduced to 37 % of its original value. _____________^^^^____| | R | | | |___||_____________\____| 10 uF switch Calculate the electric potential energy stored in the capacitor before the switch is closed. A) 0.01 J B) 0.02 J C) 0.03 J D) 0.04 J E) 0.05 J

E) 0.05 J

Three resistors and two batteries are connected as shown in the circuit diagram. What is the magnitude of the current through the 12-V battery? 18V 16ohm 25 ohm 12V 18ohm A) 0.15 A B) 0.82 A C) 0.30 A D) 0.67 A E) 0.52 A

E) 0.52 A

Five resistors are connected as shown in the diagram. The potential difference between points A and B is 15 V. A 3.2 Ω ________|_____4.1 Ω_______| 2.7 Ω 2.4 Ω |___________________|___________ 3.6 Ω B What is the current in the 2.7-Ω resistor? A) 12 A B) 0.8 A C) 2.2 A D) 0.4 A E) 1.2 A

E) 1.2 A

Four resistors and a 6-V battery are arranged as shown in the circuit diagram. Determine the equivalent resistance for this circuit. A) 50 Ω B) 120 Ω C) 29 Ω D) 5 Ω E) 12 Ω

E) 12 Ω

How many electrons flow through a battery that delivers a current of 3.0 A for 12 s? A) 4.0 x 10^20 B) 3.6 x 10^21 C) 4.8 x 10^15 D) 6.4 x 10^18 E) 2.2 x 10^20

E) 2.2 x 10^20

A capacitor has a very large capacitance of 10 F. The capacitor is charged by placing a potential difference of 2 V between its plates. How much energy is stored in the capacitor? A) 2000 J B) 500 J C) 100 J D) 40 J E) 20 J

E) 20 J

A completely ionized beryllium atom (net charge = +4e) is accelerated through a potential difference of 6.0 V. What is the increase in kinetic energy of the atom? A) zero eV B) 0.67 eV C) 4.0 eV D) 6.0 eV E) 24 eV

E) 24 eV

A simple RC circuit consists of a 1-μF capacitor in series with a 2800-Ω resistor, a 6-V battery, and an open switch. Initially, the capacitor is uncharged. How long after the switch is closed will the voltage across the capacitor be 4.1 V? A) 3 x 10^-4 s B) 3 s C) 3 x 10^-8 s D) 3 x 10^-6 s E) 3 x 10^-3 s

E) 3 x 10^-3 s

When a light bulb is connected to a 4.5 V battery, a current of 0.12 A passes through the bulb filament. What is the resistance of the filament? A) 440 Ω B) 28 Ω C) 9.3 Ω D) 1.4 Ω E) 38 Ω

E) 38 Ω

The figure shows a simple RC circuit consisting of a 100.0-V battery in series with a 10.0-µF capacitor and a resistor. Initially, the switch S is open and the capacitor is uncharged. Two seconds after the switch is closed, the voltage across the resistor is 37 V. ___/ ______ _____ | ^^^ | 100 V =10 uF |_____________________| Determine the numerical value of the resistance R. A) 0.37 Ω B) 2.70 Ω C) 5.0 x 10^4 Ω D) 2.0 x 10^5 Ω E) 4.3 x 10^5 Ω

E) 4.3 x 10^5 Ω

An uncharged 5.0-µF capacitor and a resistor are connected in series to a 12-V battery and an open switch to form a simple RC circuit. The switch is closed at t = 0 s. The time constant of the circuit is 4.0 s. Determine the maximum charge on the capacitor. A) 6.0 x 10^-5 C B) 9.5 x 10^-5 C C) 1.5 x 10^-5 C D) 4.8 x 10^-5 C E) 5.5 x 10^-5 C

E) 5.5 x 10^-5 C

A non-ideal battery has a 6.0-V emf and an internal resistance of 0.6 Ω. Determine the terminal voltage when the current drawn from the battery is 0.5 A. A) 5.0 V B) 6.0 V C) 5.4 V D) 6.6 V E) 5.7 V

E) 5.7 V

If the work required to move a +0.25 C charge from point A to point B is +175 J, what is the potential difference between the two points? A) zero volts B) 44 V C) 88 V D) 350 V E) 700 V

E) 700 V

Three charges are positioned as indicated in the figure. What are the horizontal and vertical components of the net force exerted on the +15 µC charge by the +11 µC and +13 µC charges? +15uC | \ | \ .076 | \ |______\37 degrees +13uC [.10m] +11uC A) 95N 310N B) 76N 310N C) 250N 130N D) 95N 130N E) 76N 370N

E) 76N 370N

A uniform electric field of 8 V/m exists between the plates of a parallel plate capacitor. How much work is required to move a +20 μC point charge from the negative plate to the positive plate if the plate separation is 0.050 m? A) 0.4 J B) 1.6 J C) 8 x 10^-4 J D) 8 x 10^-5 J E) 8 x 10^-6 J

E) 8 x 10^-6 J

An RC circuit consists of a resistor with resistance 1.0 kΩ, a 120-V battery, and two capacitors, C1 and C2, with capacitances of 20.0 µF and 60.0 µF, respectively. Initially, the capacitors are uncharged; and the switch is closed at t = 0 s Determine the total charge on both capacitors two time constants after the switch is closed. A) 1.3 x 10^-3 C B) 2.2 x 10^-3 C C) 4.7 x 10^-3 C D) 6.1 x 10^-3 C E) 8.3 x 10^-3 C

E) 8.3 x 10^-3 C

A capacitor is initially charged to 3 V. It is then connected to a 6 V battery. What is the ratio of the final to the initial energy stored in the capacitor? A) 3 B) 5 C) 6 D) 7 E) 9

E) 9

E) 9.9 x 10^3 N/C

A resistor dissipates 1.5 W when it is connected to a battery with a potential difference of 12 V. What is the resistance of the resistor? A) 0.13 Ω B) 220 Ω C) 18 Ω D) 8.0 Ω E) 96 Ω

E) 96 Ω

. Which one of the following statements concerning electrostatic situations is false? A) E is zero everywhere inside a conductor. B) Equipotential surfaces are always perpendicular to E. C) Zero work is needed to move a charge along an equipotential surface. D) If V is constant throughout a region of space, then E must be zero in that region. E) No force component acts along the path of a charge as it is moved along an equipotential surface.

E) No force component acts along the path of a charge as it is moved along an equipotential surface.

Two wires, A and B, and a variable resistor, R, are connected in series to a battery. Which one of the following results will occur if the resistance of R is increased? A) The current through A and B will increase. B) The voltage across A and B will increase. C) The voltage across the entire circuit will increase. D) The power used by the entire circuit will increase. E) The current through the entire circuit will decrease

E) The current through the entire circuit will decrease

Two positive charges are located at points A and B as shown in the figure. The distance from each charge to the point P is a = 2.0 m. A o +3.0uc | a | | |_______________o+3.0 uC P B Which statement is true concerning the direction of the electric field at P? A) The direction is toward A. B) The direction is toward B. C) The direction is directly away from A. D) The direction makes a 45∞ angle above the horizontal direction. E) The direction makes a 135∞ angle below the horizontal direction.

E) The direction makes a 135∞ angle below the horizontal direction.

A parallel plate capacitor is fully charged at a potential V. A dielectric with constant κ = 4 is inserted between the plates of the capacitor while the potential difference between the plates remains constant. Which one of the following statements is false concerning this situation? A) The energy density remains unchanged. B) The capacitance increases by a factor of four. C) The stored energy increases by a factor of four. D) The charge on the capacitor increases by a factor of four. E) The electric field between the plates increases by a factor of four.

E) The electric field between the plates increases by a factor of four.

A physics student performed an experiment in which the potential difference V between the ends of a long straight wire was varied. The current I in the wire was measured at each value of the potential difference with an ammeter and the results of the experiment are shown in the table. Which one of the following statements is the best conclusion based on the data? A) The resistance of the wire is 20 Ω. B) The wire does not obey Ohm's law. C) The current in the wire is directly proportional to the applied potential difference. D) The wire obeys Ohm's law over the range of potential differences between 5 and 30 V. E) The wire obeys Ohm's law over the range of potential differences between 5 and 20 V.

E) The wire obeys Ohm's law over the range of potential differences between 5 and 20 V.

Which one of the following circuits has the largest resistance? a) 10 A 2 V b) 40 A 8 V c) 10 A 10 V d) 75A 15 V e) 5 A 20 V A) a B) b C) c D) d E) e

E) e

The characteristics of five wires are given in the table. Wire Material Length Gauge A iron 2.0 m #22 B copper 2.0 m #22 C copper 2.0 m #18 D copper 1.0 m #18 E iron 2.0 m #18 The gauge is a measure of the diameter of the wire; and #18 corresponds to a diameter of 1.2 x 10^-3 m; and #22 corresponds to a diameter of 6.4 x 10^-4 m. The resistivity of iron is 9.7 x 10^-8 Ω ⋅ m; and the value for copper is 1.72 x 10^-8 Ω ⋅ m. Which one of the wires carries the smallest current when they are connected to identical batteries? A) wire E B) wire D C) wire C D) wire B E) wire A

E) wire A

An RC circuit consists of a resistor with resistance 1.0 kΩ, a 120-V battery, and two capacitors, C1 and C2, with capacitances of 20.0 µF and 60.0 µF, respectively. Initially, the capacitors are uncharged; and the switch is closed at t = 0 s. What is the current through the resistor a long time after the switch is closed? Recall that current is the charge per unit time that flows in a circuit. A) 0.60 A B) 0.12 A C) 0.24 A D) 0.48 A E) zero amperes

E) zero amperes

The sketch below shows cross sections of equipotential surfaces between two charged conductors that are shown in solid grey. Various points on the equipotential surfaces near the conductors are labeled A, B, C, ..., I. How much work is required to move a -1.0 μC charge from B to D to C? A) +2.0 x 10^-5 J B) -2.0 x 10^-5 J C) +4.0 x 10^-5 J D) -4.0 x 10^-5 J E) zero joules

E) zero joules

Two charges of opposite sign and equal magnitude Q = 0.82 C are held 2.0 m apart as shown in the figure. it's supposed to be a triangle! :( +Q \ | 4.0m 1.0m \ | \ -----------------P-------> | / 1.0 m / | 4.0 m -Q / Determine the electric potential at the point P. A) 1.1 x 10^9 V B) 2.2 x 10^9 V C) 4.5 x 10^9 V D) 9.0 x 10^9 V E) zero volts

E) zero volts

The sketch shows cross sections of equipotential surfaces between two charged conductors shown in solid black. Points on the equipotential surfaces near the conductors are labeled A, B, C, ..., H How much work is required to move a +6.0 µC point charge from B to F to D to A? A) +1.2 x 10^-3 J B) -1.2 x 10^-3 J C) +3.6 ◊ 10^-3 J D) -3.6 ◊ 10^-3 J E) zero joules

A) +1.2 x 10^-3 J

Two point charges are separated by 1.00 x 10^-2 m. One charge is -2.8 x 10^-8 C; and the other is +2.8 x 10^-8 C. The points A and B are located 2.5 x 10^-3 m from the lower and upper point charges as shown. ______O +2.8 x 10^-8 C | 0.0025m | ------ B | 0.0050 m | ------ A | 0.0025 m | ------ O -2.8 x 10^-8 C If a proton, which has a charge of +1.60 x 10^-19 C, is moved from rest at A to rest at B, what is change in electrical potential energy of the proton? A) +2.1 x 10^-14 J B) +3.2 x 10^-14 J C) -4.3 x 10^-15 J D) - 5.4 x 10^-15 J E) zero joules

A) +2.1 x 10^-14 J

The plates of a parallel plate capacitor each have an area of 0.40 m2 and are separated by a distance of 0.02 m. They are charged until the potential difference between the plates is 3000 V. The charged capacitor is then isolated. How much work is required to move a -4.0 μC charge from the negative plate to the positive plate of this system? A) -1.2 x 10^-2 J B) +1.2 x 10^-2 J C) -2.4 x 10^-2 J D) +2.4 x 10^-2 J E) -5.4 x 10^-2 J

A) -1.2 x 10^-2 J

The resistivity of a silver wire with a radius of 5.04 x 10^-4 m is 1.59 x 10^-8 Ω ⋅ m. If the length of the wire is 3.00 m, what is the resistance of the wire? A) 0.0598 Ω B) 47.0 µΩ C) 9.46 µΩ D) 0.167 Ω E) 1.88 Ω

A) 0.0598 Ω

If t1 = 0.050 s, what is the value of t2? Note: The origin for the graph is not necessarily at t = 0 s. A) 0.067 s B) 0.079 s C) 0.10 s D) 0.60 s E) 61 s

A) 0.067 s

Three resistors are placed in a circuit as shown. The potential difference between points A and B is 30 V. 60 ohm 10 ohm 30 ohm What is the potential drop across the 10-Ω resistor? A) 10 V B) 20 V C) 30 V D) 60 V E) 100 V

A) 10 V

A 3.5-A current is maintained in a simple circuit with a total resistance of 1500 Ω. What net charge passes through any point in the circuit during a thirty second interval? A) 100 C B) 180 C C) 500 C D) 600 C E) 5200 C

A) 100 C

A 4-A current is maintained in a simple circuit with a total resistance of 2 Ω. How much energy is delivered in forty five seconds? A) 1440 J B) 96 J C) 360 J D) 720 J E) 240 J

A) 1440 J

A 10.0-µF capacitor is charged so that the potential difference between its plates is 10.0 V. A 5.0-µF capacitor is similarly charged so that the potential difference between its plates is 5.0 V. The two charged capacitors are then connected to each other in parallel with positive plate connected to positive plate and negative plate connected to negative plate. How much charge flows from one capacitor to the other when the capacitors are connected? A) 17 μC B) 33 μC C) 67 μC D) 83 μC E) zero coulombs

A) 17 μC

A potential difference of 120 V is established between two parallel metal plates. The magnitude of the charge on each plate is 0.020 C. What is the capacitance of this capacitor? A) 170 µF B) 24 µF C) 7.2 µF D) 0.12 F E) 2.4 F

A) 170 µF

Five resistors are connected as shown in the diagram. The potential difference between points A and B is 25 A 3.6 ohm 3.5 ohm 1.8 ohm B 2.4 ohm 5.1 ohm What is the potential drop across the 3.5-Ω resistor? A) 2.0 V B) 5.0 V C) 8.0 V D) 17 V E) 25 V

A) 2.0 V

An RC circuit consists of a resistor with resistance 1.0 kΩ, a 120-V battery, and two capacitors, C1 and C2, with capacitances of 20.0 µF and 60.0 µF, respectively. Initially, the capacitors are uncharged; and the switch is closed at t = 0 s How much charge will be stored in each capacitor after a long time has elapsed? Charge on C1 Charge on C2 A) 2.4 x 10^-3 C 7.2 x 10^-3 C B) 1.8 x 10^-3 C 1.8 x 10^-3 C C) 6.0 x 10^-3 C 2.0 x 10^-3 C D) 9.6 x 10^-3 C 9.6 x 10^-3 C E) zero coulombs zero coulombs

A) 2.4 x 10^-3 C 7.2 x 10^-3 C

Five resistors are connected as shown in the diagram. The potential difference between points A and B is 25 A 3.6 ohm 3.5 ohm 1.8 ohm B 2.4 ohm 5.1 ohm What is the current through the 1.8-Ω resistor? A) 2.8 A B) 3.3 A C) 5.6 A D) 6.9 A E) 14 A

A) 2.8 A

When two capacitors are connected in series, the equivalent capacitance of the combination is 120 µF. When the two are connected in parallel, however, the equivalent capacitance is 480 µF. What are the capacitances of the individual capacitors? A) 240 µF and 240 µF B) 125 µF and 325 µF C) 175 µF and 275 µF D) 150 µF and 300 µF E) 80 µF and 370 µF

A) 240 µF and 240 µF

A lamp uses an average power of 55 W when it is connected to an rms voltage of 120 V. Which entry in the following table is correct for this circuit? lamp resistance R (Ω) Irms (A) A) 260 0.46 B) 22 3.8 C) 130 0.65 D) 170 0.57 E) 38 1.2

A) 260 0.46

Determine the power dissipated by the 40-Ω resistor in the circuit shown. 18V 40 ohm 40 ohm 10 ohm A) 3.6 W B) 4.5 W C) 9.0 W D) 14 W E) 27 W

A) 3.6 W

Three resistors, 50-Ω, 120-Ω, 180-Ω, are connected in series in a circuit. What is the equivalent resistance of this combination of resistors? A) 350 Ω B) 250 Ω C) 200 Ω D) 120 Ω E) 29 Ω

A) 350 Ω

A battery has a terminal voltage of 12 V when no current flows and an internal resistance of 2 Ω. The battery is placed in series with a 1-Ω resistor. Which one of the entries in the following table is correct? Terminal voltage Current through the 1-Ω resistor A) 4 V 4 A B) 4 V 12 A C) 12 V 4 A D) 12 V 12 A E) 18 V 3 A

A) 4 V 4 A

A battery supplies a total charge of 5.0 μC to a circuit that consists of a series combination of two identical capacitors, each with capacitance C. Determine the charge on either capacitor. A) 5.0 μC B) 2.5 μC C) 1.5 μC D) 1.0 μC E) 0.50 µC

A) 5.0 μC

A 220-Ω resistor is connected across an ac voltage source V = (150 V) sin [2π(60 Hz)t]. What is the average power delivered to this circuit? A) 51 W B) 110 W C) 280 W D) 320 W E) 550 W

A) 51 W

Five resistors are connected as shown. What is the equivalent resistance between points A and B? A) 6.8 Ω B) 9.2 Ω C) 3.4 Ω D) 2.1 Ω E) 16 Ω

A) 6.8 Ω

Jason's circuit has a 24-Ω resistor that is connected in series to two 12-Ω resistors that are connected in parallel. JoAnna's circuit has three identical resistors wired in parallel. If the equivalent resistance of Jason's circuit is the same as that of JoAnna's circuit, determine the value of JoAnna's resistors. A) 90 Ω B) 48 Ω C) 30 Ω D) 24 Ω E) 12 Ω

A) 90 Ω

A parallel plate capacitor with plates of area A and plate separation d is charged so that the potential difference between its plates is V. If the capacitor is then isolated and its plate separation is decreased to d/2, what happens to its capacitance? A) The capacitance is twice its original value. B) The capacitance is four times its original value. C) The capacitance is eight times its original value. D) The capacitance is one half of its original value. E) The capacitance is unchanged.

A) The capacitance is twice its original value.

Suppose that the charges are rearranged as shown in this figure. Which one of the following statements is true for this new arrangement? A o----------P-----------o B a a A) The electric field will be zero, but the electric potential remains unchanged. B) Both the electric field and the electric potential are zero at P. C) The electric field will remain unchanged, but the electric potential will be zero. D) The electric field will remain unchanged, but the electric potential will decrease. E) Both the electric field and the electric potential will be changed and will be non-zero.

A) The electric field will be zero, but the electric potential remains unchanged.

Two positive point charges are separated by a distance R. If the distance between the charges is reduced to R/2, what happens to the total electric potential energy of the system? A) The total electric potential energy is doubled. B) The total electric potential energy remains the same. C) The total electric potential energy increases by a factor of 4. D) The total electric potential energy is reduced to one-half of its original value. E) The total electric potential energy is reduced to one-fourth of its original value.

A) The total electric potential energy is doubled.

Complete the following statement: The electron volt is a unit of A) energy. B) electric field strength. C) electric force. D) electric potential difference. E) electric power.

A) energy.

Complete the following statement: The electromotive force is A) the maximum potential difference between the terminals of a battery. B) the force that accelerates electrons through a wire when a battery is connected to it. C) the force that accelerates protons through a wire when a battery is connected to it. D) the maximum capacitance between the terminals of a battery. E) the maximum electric potential energy stored within a battery.

A) the maximum potential difference between the terminals of a battery.

The sketch shows cross sections of equipotential surfaces between two charged conductors shown in solid black. Points on the equipotential surfaces near the conductors are labeled A, B, C, ..., H What is the direction of the electric field at point E? A) toward G B) toward B C) toward H D) toward C E) toward F

A) toward G

Wire Material Length Gauge A iron 2.0 m #22 B copper 2.0 m #22 C copper 2.0 m #18 D copper 1.0 m #18 E iron 2.0 m #18 The gauge is a measure of the diameter of the wire; and #18 corresponds to a diameter of 1.2 x 10^-3 m; and #22 corresponds to a diameter of 6.4 x 10^-4 m. The resistivity of iron is 9.7 x 10^-8 Ω ⋅ m; and the value for copper is 1.72 x 10^-8 Ω ⋅ m. Which one of the five wires has the largest resistance? A) wire A B) wire B C) wire C D) wire D E) wire E

A) wire A

The figure shows a circuit. The switch S can be closed on either point A or C, but not both at the same time. Use the following quantities: V1 = V2 = 12 V R1 = R4 = 1.0 Ω R2 = R3 = 2.0 Ω 100. Determine the current through R4 when the switch S is closed on C. A) zero amperes B) 2 A C) 3 A D) 6 A E) 24 A

A) zero amperes

Two charges of opposite sign and equal magnitude Q = 0.82 C are held 2.0 m apart as shown in the figure. it's supposed to be a triangle! :( +Q \ | 4.0m 1.0m \ | \ -----------------P-------> | / 1.0 m / | 4.0 m -Q / How much work is required to move a 1.0 C charge from infinity to the point P? A) zero joules B) 2.2 x 10^9 J C) 4.5 x 10^9 J D) 9.0 x 10^9 J E) infinity

A) zero joules

Answer is B : Q=(-3sqrt3/4) *q

Two point charges are located at two of the vertices of a right triangle, as shown in the figure. If a third charge -q is brought from infinity and placed at the third vertex, what will its electric potential energy be? Use the following values: a = 0.35 m; b = 0.65 m, and q = 3.0 x 10^-6 C. o / | / | / |b / | /___a___| -q +2q A) -1.7 J B) -0.14 J C) -0.028 J D) +0.85 J E) +1.7 J

B) -0.14 J

A solid, conducting sphere of radius a carries an excess charge of +6 µC. This sphere is located at the center of a hollow, conducting sphere with an inner radius of b and an outer radius of c as shown. The hollow sphere also carries a total excess charge of +6 µC. Determine the excess charge on the inner surface of the outer sphere (a distance b from the center of the system). A) zero coulombs B) -6 μC C) +6 μC D) +12 μC E) -12 μC

B) -6 μC

Three 15-Ω and two 25-Ω light bulbs and a 24 V battery are connected in a series circuit. What is the current that passes through each bulb? A) 0.18 A B) 0.25 A C) 0.51 A D) 0.74 A E) The current will be 1.6 A in the 15-Ω bulbs and 0.96 A in the 25-Ω bulbs.

B) 0.25 A

A 75-W and 50-W incandescent light bulbs are designed for use with the same voltage. What is the ratio of the resistance of the 75-W bulb to the resistance of the 50-W bulb? A) 1.5 B) 0.67 C) 2.3 D) 0.44 E) 3.0

B) 0.67

Three resistors are connected in a circuit as shown. Using Kirchhoff's rules, determine the current in one of the 16-Ω resistors. 16 ohm 8.0 ohm 24V 16 ohm A) 0.50 A B) 0.75 A C) 1.0 A D) 1.3 A E) 2.0 A

B) 0.75 A

The sketch below shows cross sections of equipotential surfaces between two charged conductors that are shown in solid grey. Various points on the equipotential surfaces near the conductors are labeled A, B, C, ..., I. A point charge gains 50 μJ of electric potential energy when it is moved from point D to point G. Determine the magnitude of the charge. A) 1.0 μC B) 1.3 μC C) 25 μC D) 50 μC E) 130 μC

B) 1.3 μC

Five resistors are connected as shown in the diagram. The potential difference between points A and B is 15 V. A 3.2 Ω ________|_____4.1 Ω_______| 2.7 Ω 2.4 Ω |___________________|___________ 3.6 Ω B What is the current in the 3.6-Ω resistor? A) 1.3 A B) 1.7 A C) 2.9 A D) 3.5 A E) 15 A

B) 1.7 A

A parallel plate capacitor has plates of area 2.0 x 10^-3 m2 and plate separation 1.0 x 10^-4 m. Determine the capacitance of this system if air fills the volume between the plates. A) 1.1 x 10^-10 F B) 1.8 x 10^-10 F C) 3.2 x 10^-10 F D) 4.4 x 10^-10 F E) 5.3 x 10^-10 F

B) 1.8 x 10^-10 F

The plates of a parallel plate capacitor each have an area of 0.40 m2 and are separated by a distance of 0.02 m. They are charged until the potential difference between the plates is 3000 V. The charged capacitor is then isolated. Determine the value of the capacitance. A) 9.0 x 10^-11 F B) 1.8 x 10^-10 F C) 3.6 x 10^-10 F D) 4.8 x 10^-10 F E) 6.4 x 10^-10 F

B) 1.8 x 10^-10 F

Three parallel plate capacitors, each having a capacitance of 1.0 µF are connected in parallel. The potential difference across the combination is 100 V. What is the charge on any one of the capacitors? A) 30 μC B) 100 μC C) 300 μC D) 1000 μC E) 3000 μC

B) 100 μC

When a 1500-W hair dryer is in use, the current passing through the dryer may be represented as I = (17.7 A) sin (120πt). What is the rms current for this circuit? A) 17.7 A B) 12.5 A C) 85.7 A D) 25.0 A E) 8.85 A

B) 12.5 A

What is the total power dissipated in the two resistors in the circuit shown? 10 V 10 ohm and 20 ohm parallel A) 10 W B) 15 W C) 33 W D) 67 W E) 670 W

B) 15 W

Some light bulbs are connected in parallel to a 120 V source as shown in the figure. Each bulb dissipates an average power of 60 W. The circuit has a fuse F that burns out when the current in the circuit exceeds 9 A. Determine the largest number of bulbs, which can be used in this circuit without burning out the fuse. A) 9 B) 17 C) 25 D) 34 E) 36

B) 17

The figure shows a circuit. The switch S can be closed on either point A or C, but not both at the same time. Use the following quantities: V1 = V2 = 12 V R1 = R4 = 1.0 Ω R2 = R3 = 2.0 Ω 97. What is the equivalent resistance between the points A and B? A) 1 Ω B) 2 Ω C) 3 Ω D) 4 Ω E) 5 Ω

B) 2 Ω

Four resistors and a 6-V battery are arranged as shown in the circuit diagram. The largest potential difference is across which resistor(s)? A) the 10-Ω resistor B) the 20-Ω resistor C) the 30-Ω resistor D) the 60-Ω resistor E) It is the same and the largest for the 30-Ω and 60-Ω resistors.

B) the 20-Ω resistor

The figure below shows four parallel plate capacitors: A, B, C, and D. Each capacitor carries the same charge q and has the same plate area A. As suggested by the figure, the plates of capacitors A and C are separated by a distance d while those of B and D are separated by a distance 2d. Capacitors A and B are maintained in vacuum while capacitors C and D contain dielectrics with constant κ = 5. Vacuum dielectric (k=5) |A | |B | |c | | D | | | | | | | | | | | | | | | | | | d | | 2d | | d | | 2d | The figure below shows four parallel plate capacitors: A, B, C, and D. Each capacitor carries the same charge q and has the same plate area A. As suggested by the figure, the plates of capacitors A and C are separated by a distance d while those of B and D are separated by a distance 2d. Capacitors A and B are maintained in vacuum while capacitors C and D contain dielectrics with constant κ = 5. Vacuum dielectric (k=5) |A | |B | |c | | D | | | | | | | | | | | | | | | | | | d | | 2d | | d | | 2d | At what distance from a 1.0-C charge is the electric potential equal to 12 V? A) 8.3 x 10^7 m B) 7.5 x 10^8 m C) 9.0 x 10^8 m D) 1.1 x 10^9 m E) 3.0 x 10^9 m

B) 7.5 x 10^8 m

B) B

Which one of the following statements concerning resistors in series is true? A) The voltage across each resistor is the same. B) The current through each resistor is the same. C) The power dissipated by each resistor is the same. D) The rate at which charge flows through each resistor depends on its resistance. E) The total current through the resistors is the sum of the current through each resistor.

B) The current through each resistor is the same.

An isolated system consists of two conducting spheres A and B. Sphere A has five times the radius of sphere B. Initially, the spheres are given equal amounts of positive charge and are isolated from each other. The two spheres are then connected by a conducting wire. Note: The potential of a sphere of radius R that carries a charge Q is V = kQ/R, if the potential at infinity is zero. Which one of the following statements is true after the spheres are connected by the wire? A) The electric potential of A is 1/25 as large as that of B. B) The electric potential of A equals that of B. C) The electric potential of A is 25 times larger than that of B. D) The electric potential of A is 1/5 as large as that of B. E) The electric potential of A is five times larger than that of B.

B) The electric potential of A equals that of B.

Complete the following statement: The unit kilowatt ⋅ hour measures A) current. B) energy. C) power. D) potential drop. E) voltage

B) energy.

Four point charges are individually brought from infinity and placed at the corners of a square as shown in the figure. Each charge has the identical value +Q. The length of the diagonal of the square is 2a. +Q ______________+Q | | | | |_______________| B +2.0 The first two charges are brought from infinity and placed at adjacent corners. What is the electric potential energy of these two charges? A) B) C) D) E)

A answer is A but idk what the answers are lol

Two point charges are held at the corners of a rectangle as shown in the figure. The lengths of sides of the rectangle are 0.050 m and 0.150 m. Assume that the electric potential is defined to be zero at infinity. -5.0uC ____________________________A | | | | |____________________________| B +2.0 Determine the electric potential at corner A. A) +6.0 x 10^4 V B) -2.4 x 10^5 V C) +4.6 x 10^5 V D) -7.8 x 10^5 V E) zero volts

A) +6.0 x 10^4 V

Three identical point charges, Q, are placed at the vertices of an equilateral triangle as shown in the figure. The length of each side of the triangle is d. Determine the magnitude and direction of the total electrostatic force on the charge at the top of the triangle Q / \ /______\ Q Q A) (Q^2sqrt3)/(4piEpsylond^2) , directed upward B) , directed downward C) , directed upward D) , directed downward E) zero

A) , directed upward

Two point charges are held at the corners of a rectangle as shown in the figure. The lengths of sides of the rectangle are 0.050 m and 0.150 m. Assume that the electric potential is defined to be zero at infinity. -5.0uC ____________________________A | | | | |____________________________| B +2.0 What is the potential difference, VB ñ VA, between corners A and B? A) -8.4 x 10^5 V B) -7.8 x 10^5 V C) -7.2 x 10^5 V D) -6.0 x 10^5 V E) zero volts

A) -8.4 x 10^5 V

The figure shows a parallel plate capacitor. The surface charge density on each plate is 8.8 x 10^-8 C/m2. The point P is located 1.0 x 10^-5 m away from the positive plate. + + + + + + P - - - - - - If a +2.0 x 10^-5 C point charge is placed at P, what is the force exerted on it? A) 0.2 N, toward the negative plate B) 0.2 N, toward the positive plate C) 5 x 10^4 N, toward the positive plate D) 5 x 10^4 N, toward the negative plate E) 5 x 10^4 N, into the plane of the page

A) 0.2 N, toward the negative plate

A charge Q exerts a 1.2 N force on another charge q. If the distance between the charges is doubled, what is the magnitude of the force exerted on Q by q? A) 0.30 N B) 0.60 N C) 2.4 N D) 3.6 N E) 4.8 N

A) 0.30 N

An aluminum nail has an excess charge of +3.2 µC. How many electrons must be added to the nail to make it electrically neutral? A) 2.0 x 10^13 B) 2.0 x 10^19 C) 3.2 x 10^16 D) 3.2 x 10^6 E) 5.0 x 10-14

A) 2.0 x 10^13

A total charge of -6.50 µC is uniformly distributed within a sphere that has a radius of 0.150 m. What is the magnitude and direction of the electric field at 0.300 m from the surface of the sphere? A) 2.89 x 10^5 N/C, radially inward B) 6.49 x 10^5 N/C, radially outward C) 4.69 x 10^5 N/C, radially inward D) 9.38 x 10^5 N/C, radially outward E) 1.30 x 10^6 N/C, radially inward

A) 2.89 x 10^5 N/C, radially inward

What is the electric flux passing through a Gaussian surface that surrounds a +0.075 C point charge? A) 8.5 x 10^9 N⋅m2/C B) 6.8 x 10^8 N⋅m2/C C) 1.3 x 10^7 N⋅m2/C D) 4.9 x 10^6 N⋅m2/C E) 7.2 x 10^5 N⋅m2/C

A) 8.5 x 10^9 N⋅m2/C

Five particles are shot from the left into a region that contains a uniform electric field. The numbered lines show the paths taken by the five particles. A negatively charged particle with a charge -3Q follows path 2 while it moves through this field. Do not consider any effects due to gravity What is the magnitude of the electric field due to a 6.0 x 10 -9 C charge at a point located 0.025 m from the charge? A) 8.6 x 10^2 N/C B) 1.2 x 10^4 N/C C) 1.8 x 10^5 N/C D) 3.6 x 10^6 N/C E) 7.2 x 10^7 N/C

A) 8.6 x 10^2 N/C

A rigid electric dipole is free to move in the electric field represented in the figure. Which one of the following phrases most accurately describes the initial motion of the dipole if it is released from rest in the position shown? A) It moves to the left. B) It moves to the right. C) It does not move at all. D) It moves toward to the top of the page. E) It moves toward the bottom of the page.

A) It moves to the left.

P and Q are points within a uniform electric field that are separated by a distance of 0.2 m as shown. The potential difference between P and Q is 75 V. <----------------------------------------- P<----------0.2m----------->Q <----------------------------------------- E <----------------------------------------- How much work is required to move a +150 μC point charge from P to Q? A) 0.023 J B) 0.056 J C) 75 J D) 140 J E) 2800 J

B) 0.056 J

Two point charges are held at the corners of a rectangle as shown in the figure. The lengths of sides of the rectangle are 0.050 m and 0.150 m. Assume that the electric potential is defined to be zero at infinity. -5.0uC ____________________________A | | | | |____________________________| B +2.0 What is the electric potential energy of a +3.0 μC charge placed at corner A? A) 0.10 J B) 0.18 J C) 2.3 J D) 3.6 J E) zero joules

B) 0.18 J

. Three charges are located along the x axis as shown in the drawing. The mass of the -1.2 µC is 4.0 x 10-9 kg. Determine the magnitude and direction of the acceleration of the -1.2 µC charge when it is allowed to move if the other two charges remain fixed. A) 2 x 10^5 m/s2, to the right B) 1 x 10^5 m/s2, to the left C) 7 X 10^4 m/s2, to the right D) 3 x 10^5 m/s2, to the left E) 4 x 10^6 m/s2, to the right

B) 1 x 10^5 m/s2, to the left

A uniform electric field with a magnitude of 125,000 N/C passes through a rectangle with sides of 2.50 m and 5.00 m. The angle between the electric field vector and the vector normal to the rectangular plane is 65.0∞. What is the electric flux through the rectangle? A) 1.56 x 10^6 N⋅m2/C B) 6.60 x 10^5 N⋅m2/C C) 1.42 x 10^5 N⋅m2/C D) 5.49 x 10^4 N⋅m2/C E) 4.23 x 10^4 N⋅m2/C

B) 6.60 x 10^5 N⋅m2/C

Four point charges, each of the same magnitude, with varying signs are arranged at the corners of a square as shown. Which of the arrows labeled A, B, C, and D gives the correct direction of the net force that acts on the charge at the upper right corner? D / +Q-------A<-- -Q | / | | B | C | | -Q------------ +Q A) A B) B C) C D) D E) The net force on that charge is zero.

B) B

A charged conductor is brought near an uncharged insulator. Which one of the following statements is true? A) Both objects will repel each other. B) Both objects will attract each other. C) Neither object exerts an electrical force on the other. D) The objects will repel each other only if the conductor has a negative charge. E) The objects will attract each other only if the conductor has a positive charge.

B) Both objects will attract each other.

B) I

Complete the following statement: When a glass rod is rubbed with silk cloth, the rod becomes positively charged as A) positive charges are transferred from the silk to the rod. B) negative charges are transferred from the rod to the silk. C) positive charges are created on the surface of the rod. D) negative charges are transferred from the silk to the rod. E) positive charges are transferred from the rod to the silk.

B) negative charges are transferred from the rod to the silk.

Complete the following statement: The magnitude of the electric field at a point in space does not depend upon A) the distance from the charge causing the field. B) the sign of the charge causing the field. C) the magnitude of the charge causing the field. D) the force that a unit positive charge will experience at that point. E) the force that a unit negative charge will experience at that point.

B) the sign of the charge causing the field.

The sketch below shows cross sections of equipotential surfaces between two charged conductors that are shown in solid grey. Various points on the equipotential surfaces near the conductors are labeled A, B, C, ..., I. What is the direction of the electric field at B? A) toward A B) toward D C) toward C D) into the page E) up and out of the page

B) toward D

Two point charges are separated by 1.00 x 10^-2 m. One charge is -2.8 x 10^-8 C; and the other is +2.8 x 10^-8 C. The points A and B are located 2.5 x 10^-3 m from the lower and upper point charges as shown. ______O +2.8 x 10^-8 C | 0.0025m | ------ B | 0.0050 m | ------ A | 0.0025 m | ------ O -2.8 x 10^-8 C If an electron, which has a charge of 1.60 x 10^-19 C, is moved from rest at A to rest at B, what is the change in electric potential energy of the electron? A) +4.3 x 10^-15 J B) +5.4 x 10^-15 J C) -2.1 x 10^-14 J D) -3.2 x 10^-14 J E) zero joules

C) -2.1 x 10^-14 J

A helium nucleus is located between the plates of a parallel-plate capacitor as shown. The nucleus has a charge of +2e and a mass of 6.6 ◊ 10^-27 kg. What is the magnitude of the electric field such that the electric force exactly balances the weight of the helium nucleus so that it remains stationary? - - - - - +2e | mg + + + + + A) 4.0 x 10-7 N/C B) 6.6 x 10-26 N/C C) 2.0 x 10-7 N/C D) 5.0 x 10-3 N/C E) 1.4 x 10-8 N/C

C) 2.0 x 10-7 N/C

P and Q are points within a uniform electric field that are separated by a distance of 0.2 m as shown. The potential difference between P and Q is 75 V. <----------------------------------------- P<----------0.2m----------->Q <----------------------------------------- E <----------------------------------------- Determine the magnitude of this electric field. A) 15 V/m B) 75 V/m C) 375 V/m D) 750 V/m E) 1100 V/m

C) 375 V/m

The figure shows a parallel plate capacitor. The surface charge density on each plate is 8.8 x 10^-8 C/m2. The point P is located 1.0 x 10^-5 m away from the positive plate. + + + + + + P - - - - - - Which one of the following statements concerning the direction of the electric field between the plates is true? A) It points to the left. B) It points to the right. C) It points toward the negative plate. D) It points toward the positive plate. E) It points up out of the plane of the page.

C) It points toward the negative plate.

At which point (or points) is the electric field zero N/C for the two point charges shown on the x axis? --+4q-------------------------2q------> x A) The electric field is never zero in the vicinity of these charges. B) The electric field is zero somewhere on the x axis to the left of the +4q charge. C) The electric field is zero somewhere on the x axis to the right of the -2q charge. D) The electric field is zero somewhere on the x axis between the two charges, but this point is nearer to the -2q charge. E) The electric field is zero at two points along the x axis; one such point is to the right of the -2q charge and the other is to the left of the +4q charge.

C) The electric field is zero somewhere on the x axis to the right of the -2q charge.

Which one of the following statements best explains why tiny bits of paper are attracted to a charged rubber rod? A) Paper is naturally a positive material. B) Paper is naturally a negative material. C) The paper becomes electrically polarized by induction. D) Rubber and paper always attract each other. E) The paper acquires a net positive charge by induction.

C) The paper becomes electrically polarized by induction.

A +1.0 μC point charge is moved from point A to B in the uniform electric field as shown. Which one of the following statements is necessarily true concerning the potential energy of the point charge? shape is supposed to be a triangle below ---------------------------------------> / ______________b 3.6m 2.0m -------------/ |----------> / | A/______3.0m_________| --------- ------------------------------> A) The potential energy increases by 6.0 x 10^-6J. B) The potential energy decreases by 6.0 x 10^-6 J. C) The potential energy decreases by 9.0 x 10^-6 J. D) The potential energy increases by 10.8 x 10^-6 J. E) The potential energy decreases by 10.8 x 10^-6 J.

C) The potential energy decreases by 9.0 x 10^-6 J.

Which one of the following figures shows a qualitatively accurate sketch of the electric field lines in and around this system? \ | / -O / | \ A) a B) b C) c D) d E) e

C) c

Two uncharged, conducting spheres, A and B, are held at rest on insulating stands and are in contact. A positively charged rod is brought near sphere A as suggested in the figure. While the rod is in place, someone moves sphere B away from A. How will the spheres be charged, if at all? + oO AB A) positive positive B) positive negative C) negative positive D) negative negative E) zero zero

C) negative positive

Five particles are shot from the left into a region that contains a uniform electric field. The numbered lines show the paths taken by the five particles. A negatively charged particle with a charge -3Q follows path 2 while it moves through this field. Do not consider any effects due to gravity Which path would be followed by a helium atom (an electrically neutral particle)? A) path 1 B) path 2 C) path 3 D) path 4 E) path 5

C) path 3

A charge q = -6.0 µC is moved 0.25 m horizontally to point P in a region where an electric field is 250 V/m directed vertically, as shown. What is the change in the electric potential energy of the charge? ^ ^ ^ ^ E | | | | | q| | P | | | | | A) -2.4 x 10^-5 J B) -1.5 x 10^-4 J C) zero joules D) +1.5 x 10^-4 J E) +2.4 x 10^-5 J

C) zero joules

Three point charges -Q, -Q, and +3Q are arranged along a line as shown in the sketch. | P | R | |+3q -q________|___________-q___ |----r----|---r-----| What is the electric potential at the point P? A) +kQ/R B) -2kQ/R C) -1.6kQ/R D) +1.6kQ/R E) +4.4kQ/R

D) +1.6kQ/R

Each of three objects has a net charge. Objects A and B attract one another. Objects B and C also attract one another, but objects A and C repel one another. Which one of the following table entries is a possible combination of the signs of the net charges on these three objects? A B C A) + + - B) - + + C) + - - D) - + - E) - - +

D) - + -

A proton moves in a constant electric field from point A to point B. The magnitude of the electric field is 6.4 x 10^4 N/C; and it is directed as shown in the drawing, the direction opposite to the motion of the proton. If the distance from point A to point B is 0.50 m, what is the change in the proton's electric potential energy, EPEA - EPEB? A \ \proton \ ^E \B A) -2.4 x 10^-15 J B) -3.2 x 10^-15 J C) +1.2 x 10^-15 J D) -5.1 x 10^-15 J E) -1.8 x 10^-15 J

D) -5.1 x 10^-15 J

At what separation will two charges, each of magnitude 6.0 μC, exert a force of 0.70 N on each other? A) 1.1 ◊ 10ñ5 m B) 0.23 m C) 0.48 m D) 0.68 m E) 1.4 m

D) 0.68 m

A small sphere of mass 2.5 x 10^-5 kg carries a total charge of 6.0 x 10^-8 C. The sphere hangs from a silk thread between two large parallel conducting plates. The excess charge on each plate is equal in magnitude, but opposite in sign. If the thread makes an angle of 30∞ with the positive plate as shown, what is the magnitude of the charge density on each plate? |\ | | \30 deg | | \ | | | + - A) 2.5 x 10-9 C/m2 B) 5.2 x 10-9 C/m2 C) 1.0 x 10-9 C/m2 D) 2.1 x 10^-8 C/m2 E) 4.2 x 10-8 C/m2

D) 2.1 x 10^-8 C/m2

The magnitude of the electric field at a distance of two meters from a negative point charge is E. What is the magnitude of the electric field at the same location if the magnitude of the charge is doubled? A) E/4 B) E/2 C) E D) 2E E) 4E

D) 2E

In Frame 1, two identical conducting spheres, A and B, carry equal amounts of excess charge that have the same sign. The spheres are separated by a distance d; and sphere A exerts an electrostatic force on sphere B that has a magnitude F. A third sphere, C, which is handled only by an insulating rod, is introduced in Frame 2. Sphere C is identical to A and B except that it is initially uncharged. Sphere C is touched first to sphere A, in Frame 2, and then to sphere B, in Frame 3, and is finally removed in Frame 4 Determine the magnitude of the electrostatic force that sphere A exerts on sphere B in Frame 4. A) F/2 B) F/3 C) 3F/4 D) 3F/8 E) zero

D) 3F/8

Two charges of opposite sign and equal magnitude Q = 0.82 C are held 2.0 m apart as shown in the figure. it's supposed to be a triangle! :( +Q \ | 4.0m 1.0m \ | \ -----------------P-------> | / 1.0 m / | 4.0 m -Q / Determine the magnitude of the electric field at the point P. A) 2.8 x 10^8 V/m B) 4.4 x 10^8 V/m C) 5.6 x 10^8 V/m D) 9.2 x 10^8 V/m E) zero V/m

D) 9.2 x 10^8 V/m

D) H

Which one of the following statements is true concerning the electrostatic charge on a conductor? A) The charge is uniformly distributed throughout the volume. B) The charge is confined to the surface and is uniformly distributed. C) Most of the charge is on the outer surface, but it is not uniformly distributed. D) The charge is entirely on the surface and it is distributed according to the shape of the object. E) The charge is dispersed throughout the volume of the object and distributed according to the object's shape.

D) The charge is entirely on the surface and it is distributed according to the shape of the object.

Which one of the following statements best describes the equipotential surfaces surrounding a point charge? A) The equipotential surfaces are planes extending radially outward from the charge. B) The equipotential surfaces are curved planes surrounding the charge, but only one passes through the charge. C) The equipotential surfaces are concentric cubes with the charge at the center. D) The equipotential surfaces are concentric spheres with the charge at the center. E) The equipotential surfaces are concentric cylinders with the charge on the axis at the center.

D) The equipotential surfaces are concentric spheres with the charge at the center.

The sketch below shows cross sections of equipotential surfaces between two charged conductors that are shown in solid grey. Various points on the equipotential surfaces near the conductors are labeled A, B, C, ..., I. A positive point charge is placed at F. Complete the following statement: When it is released, A) no force will be exerted on it. B) a force will cause it to move toward E. C) a force will cause it to move toward G. D) a force will cause it to move away from E. E) it would subsequently lose kinetic energy.

D) a force will cause it to move away from E.

Two uncharged conducting spheres, A and B, are suspended from insulating threads so that they touch each other. While a negatively charged rod is held near, but not touching sphere A, someone moves ball B away from A. How will the spheres be charged, if at all? O O Sphere A Sphere B A) 0 + B) - + C) 0 0 D) - 0 E) + -

E) + -

Which combination of charges will yield zero electric field at the point x? A-------X---------B A) +1q and -1q B) +2q and -3q C) +1q and -4q D) -1q and +4q E) +4q and +4q

E) +4q and +4q

A straight, copper wire has a length of 0.50 m and an excess charge of -1.0 x 10^-5 C distributed uniformly along its length. Find the magnitude of the electric field at a point located 7.5 x 10^-3 m from the midpoint of the wire. A) 1.9 x 10^10 N/C B) 1.5 x10^6 N/C C) 6.1 x 10^13 N/C D) 7.3 x 10^8 N/C E) 4.8 x 10^7 N/C

E) 4.8 x 10^7 N/C

Which one of the following statements is true concerning the magnitude of the electric field at a point in space? A) It is a measure of the total charge on the object. B) It is a measure of the electric force on any charged object. C) It is a measure of the ratio of the charge on an object to its mass. D) It is a measure of the electric force per unit mass on a test charge. E) It is a measure of the electric force per unit charge on a test charge.

E) It is a measure of the electric force per unit charge on a test charge.

Which one of the following statements is true concerning the strength of the electric field between two oppositely charged parallel plates? A) It is zero midway between the plates. B) It is a maximum midway between the plates. C) It is a maximum near the positively charged plate. D) It is a maximum near the negatively charged plate. E) It is constant between the plates except near the edges.

E) It is constant between the plates except near the edges.

The figure shows an equilateral triangle ABC. A positive point charge +q is located at each of the three vertices A, B, and C. Each side of the triangle is of length a. A point charge Q (that may be positive or negative) is placed at the mid-point between B and C Is it possible to choose the value of Q (that is non-zero) such that the force on Q is zero? Explain why or why not. A) Yes, because the forces on Q are vectors and three vectors can add to zero. B) No, because the forces on Q are vectors and three vectors can never add to zero. C) Yes, because the electric force at the mid-point between B and C is zero whether a charge is placed there or not. D) No, because the forces on Q due to the charges at B and C point in the same direction. E) No, because a fourth charge would be needed to cancel the force on Q due to the charge at A.

E) No, because a fourth charge would be needed to cancel the force on Q due to the charge at A.

. Two charged particles A and B are located near one another. Both the magnitude and direction of the force that particle A exerts on particle B is independent of A) the sign of charge B. B) the sign of charge A. C) the distance between A and B. D) the magnitude of the charge on B. E) The magnitude and direction of the force are dependent on all of the above choices

E) The magnitude and direction of the force are dependent on all of the above choices

Which one of the following statements is true concerning the work done by an external force in moving an electron at constant speed between two points in an electrostatic field? A) The work done is always zero joules. B) The work done is always positive. C) The work done only depends on the speed of the electron. D) The work done depends on the total distance covered. E) The work done depends only on the displacement of the electron.

E) The work done depends only on the displacement of the electron.

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of -2.0 µC; sphere B carries a charge of -6.0 µC; and sphere C carries a charge of +4.0 µC. Spheres A and B are touched together and then separated. Spheres B and C are then touched and separated. Does sphere C end up with an excess or a deficiency of electrons and how many electrons is it? A) deficiency, 6 x 10^13 B) excess, 3 x 10^13 C) excess, 2 x 10^13 D) deficiency, 3 x 10^12 E) There is no excess or deficiency of electrons.

E) There is no excess or deficiency of electrons.

A cubical Gaussian surface is placed in a uniform electric field as shown in the figure. The length of each edge of the cube is 1.0 m. The uniform electric field has a magnitude of 5.0 x 10^8 N/C and passes through the left and right sides of the cube perpendicular to the surface. What is the total electric flux that passes through the cubical Gaussian surface? ________ ---> | |----> ---> |________|----> A) 5.0 x 10^8 N⋅m2/C B) 3.0 x 10^9 N⋅m2/C C) 2.5 x 10^6 N⋅m2/C D) 1.5 x 10^7 N⋅m2/C E) zero N⋅m2/C

E) zero N⋅m2/C

Four point charges are individually brought from infinity and placed at the corners of a square as shown in the figure. Each charge has the identical value +Q. The length of the diagonal of the square is 2a. +Q ______________+Q | | | | |_______________| B +2.0 What is the magnitude of the electric field at P, the center of the square? A) kQ/a2 B) 2kQ/a2 C) 4kQ/a2 D) kQ/4a2 E) zero V/m

E) zero V/m

Four point charges are individually brought from infinity and placed at the corners of a square as shown in the figure. Each charge has the identical value +Q. The length of the diagonal of the square is 2a. +Q ______________+Q | | | | |_______________| B +2.0 What is the electric potential at P, the center of the square? A) kQ/a B) 2kQ/a C) 4kQ/a D) kQ/4a E) zero volts

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