Physics Final Review

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When an LRC series circuit is at resonance, which one of the following statements about that circuit 63) is accurate? (There may be more than one correct choice.)

The current amplitude is a maximum.

The figure shows a steady electric current passing through a wire with a narrow region. What happens to the drift velocity of the moving charges as they go from region A to region B and then to region C?

The drift velocity increases from A to B and decreases from B to C.

As more resistors are added in parallel across a constant voltage source, the power supplied by the source

increases

An electron, moving toward the west, enters a uniform magnetic field. Because of this field the electron curves upward. The direction of the magnetic field is

north

Consider a solenoid of length L, N windings, and radius b (L is much longer than b). A current I is 61) flowing through the wire. If the length of the solenoid became twice as long (2L), and all otherquantities remained the same, the magnetic field inside the solenoid would

one half as strong

The figure shows two unequal point charges, q and Q , of opposite sign. Charge Q has greater magnitude than charge q . In which of the regions X , Y , Z will there be a point at which the net electric field due to these two charges is zero?

only region X

cylindrical wire has a resistance R and resistivity . If its length and diameter 109) are BOTH cut in half,(a) what will be its resistance?(b) what will be its resistivity?

(a) 2R (b) p

A student kept his 9.0 Volt, 7.0 Watt radio turned on at full volume from 9.00 p.m. until 2.00 a.m. How much charge went through it?

1.4 × 10 4

Eight identical spherical raindrops are each at a potential V, relative to the potential far away. They coalesce to make one spherical raindrop whose potential is:

4V

What capacitance would you connect across a 1.30-mH inductor to make the resulting oscillator 12) resonate at 3.50 kHz?

C = 1.59× 10-6 F

If the electric field is zero everywhere inside a region of space, the potential must also be zero in that region.

False

A negative charge is moved from point A to point B along an equipotential surface. Which of the following statements must be true for this case?

No work

The rate at which electrical energy is used may be measured in:

Watt

The potential of Earth is:

Zero

A negative charge, if free, will tend to move

from low to high

Under electrostatic conditions, the electric field just outside the surface of any charged conductor

is always perpendicular to the surface of the conductor.

A object is 12 cm in front of a concave spherical mirror, and the image is 3.0 33) cm in front of the mirror. What is the focal length of the mirror?

2.4 cm

In the figure, the thin lens forms a real image of the object 94.0 cm from the object. What is the focal 91) length of the lens?

22.0 cm

For the circuit shown in the figure, all quantities are accurate to 3 significant figures. What 29) is the power dissipated in the 2- resistor?

3.56 W

In a transformer, how many turns are necessary in a 110-V primary if the 24-V secondary 25) has 100 turns?

458

The primary coil of a transformer has 100 turns and its secondary coil has 400 turns. If the ac 100) voltage applied to the primary coil is 120 V, what voltage is present in its secondary coil?

480 V

A spherical conductor of 9-cm radius is charged to 100 volt potential. Calculate the energy stored in it.

E=5.0×10-8 J

Two very long parallel wires are a distance d apart and carry equal currents in opposite directions. The locations where the net magnetic field due to these currents is equal to zero are

The net field is not zero anywhere.

A charge particle q enters with velocity v in a current carrying solenoid along its axis. The force experienced by the charge particle will be:

Zero

How much total time will light take to pass through a system having 450 meter length in air and 15) 300 meter in glass, if the velocity of light in vacuum is 3108 m/sec?

t =3.0× 10-6 Sec

An ideal air-filled parallel-plate capacitor has round plates and carries a fixed amount of equal but opposite charge on its plates. All the geometric parameters of the capacitor (plate diameter and plate separation) are now DOUBLED. If the original energy density between the plates was u0, what is the new energy density?

u0/16

The figure shows three electric charges labeled Q1, Q2, Q3, and some electric field 107) lines in the region surrounding the charges. What are the signs of the three charges?

wQ1 is positive, Q2 is negative, Q3 is positive.

A vertical wire carries a current vertically upward in a region where the magnetic field vector points toward the north. What is the direction of the magnetic force on this current due to the field?

west

Two point charges of +2.0 μC and -6.0 μC are located on the x-axis at x = -1.0 cm and x = +2.0 cm respectively. Where should a third charge of +3.0-μC be placed on the +x-axis so that the potential at the origin is equal to zero? (k = 1/40 = 8.99 × 109 N · m2/C2)

x=3.0cm

An oscillating voltage of fixed amplitude is applied across a circuit element. If the 31) frequency of this voltage is increased, what will be the effect on current amplitude in eachof the following circuit element? (a) A resistor (b) An inductor (c) A capacitor

(a) Current in resistor is constant (b) Current Amplitude in Inductor increases with increase of frequency (c) Currnet increases in Capacitor with increase of frequency.

The wavelength of yellow sodium light in air is 589 nm.

(a) Frequency: f =5.09 × 1014 (b) Wave length =388 nm (c) Speed v = 1.97 × 108 m/sec

(The flux linkage through a certain coil of 0.75 ohm resistance is 26 mWb when there is a current 11) of 5.5 A in it.

(a) L=4.7×10-3 ; (b) t=2.4×10-3

A car battery with a 12.0 V e m f and an internal resistance of 0.040 ohm is being charged

(a) P.D: V = 14 Volts (b) Thermal Energy = 100 Watts (c) Chemical Energy = 600 Watts

The figure below shows four different current phasors with same angular frequency . At a 21) particular time, which phasor corresponds to (a) Positive current that is becoming more positive (b) Positive current that is decreasing toward zero. (c) Negative current that is becoming more negative(d) Negative current that is decreasing in magnitude toward zero

(a)D; (b)A (c) B (d) C

An electromagnetic wave propagates along the +y direction as shown in the figure. If the electric 69) field at the origin is along the +z direction, what is the direction of the magnetic field?

+x

If an electromagnetic wave has components Ey = E0 sin(kx - t) and Bz = B0 sin(kx - t) , in what 71) direction is it traveling?

+x

Gaussian surface in the shape of a right-circular cylinder with end caps has a radius of 12.0 cm and a length of 80.0 cm. through one end there is an inward magnetic flux of 25.0 μWb. At the other end there is a uniform magnetic field of 1.60 mT, normal to the surface and directed outward. What is the net magnetic flux through the curved surface?

- 47.4 μWb

A nonuniform electric field is directed along the x-axis at all points in space. This 30) magnitude of the field varies with x, but not with respect to y or z. The axis of a cylindrical surface, 0.80 m long and 0.20 m in diameter, is aligned parallel to the x-axis, as shown inthe figure. The electric fields E1 and E2, at the ends of the cylindrical surface, have magnitudes of 6000 N/C and 1000 N/C respectively, and are directed as shown. What is the net electric flux passing through the cylindrical surface?

-160 N · m2/C

Four equal negative point charges are located at the corners of a square, their positions 105) in the xy-plane being (1, 1), (-1, 1), (-1, -1), (1, -1). The electric field on the x-axis at (1, 0) points in the same direction as

-i.

An electron moving in the direction of the +x-axis enters a magnetic field. If the electron experiences a magnetic deflection in the -y direction, the direction of the magnetic field in this region points in the direction of the

-z-axis

If the magnetic field of an electromagnetic wave is in the +x-direction and the electric field of the 68) wave is in the +y-direction, the wave is traveling in the

-z-direction

A charge of 1.0 × 10-6 μC is located inside a sphere, 1.25 cm from its center. What is the 27) electric flux through the sphere due to this charge? (0 = 8.85 × 10-12 C2/N · m2)

0.11 N · m2/C

Refractive index of glass with respect to air is 1.5. Refractive index of water with respect to air is 14) 1.33. What is refractive index of glass with respect to water?

1.13

A piece of plastic has a net charge of +2.00 μC. How many more protons than electrons 13) does this piece of plastic have? (e = 1.60 × 10-19 C)

1.25 × 1013

In an antique automobile, a 6 V battery supplies a total of 48 W to two identical headlights in parallel. The resistance ( in ohms ) of each bulb is:

1.5

A swimming pool is filled to a depth of 2.0 m. How deep does the pool appear to be from above the water, which has an index of refraction of 1.33?

1.5 m

How far are you from your image when you stand 0.750 m in front of a vertical 32) plane mirror?

1.50 m

How far are you from your image when you stand 0.750 m in front of a vertical plane mirror?

1.50 m

A small glass bead has been charged to 8.0 nC. What is the magnitude of the electric field 22) 2.0 cm from the center of the bead? (k = 1/40 = 8.99 × 109 N · m2/C2)

1.8 × 105 N/C

The critical angle in air for a particular type of glass is 39.0°. What is the speed of light in this class 77) glass? (c = 3.00 × 108 m/s)

1.89 × 108 m/s

Two identical small charged spheres are a certain distance apart, and each one initially experiences an electrostatic force of magnitude F due to the other. With time, charge gradually leaks off of both spheres. When each of the spheres has lost half its initial charge, the magnitude of the electrostatic force will be

1/4 F

A square is formed by joining four wires each having 10-ohm resistance. The equivalent resistance at the ends of diagonal will be:

10 Ohm

An optical system comprises in turn, from left to right: an observer, a lens of focal length 20) +30 cm, an erect object 20 mm high, and a convex mirror of radius 80 cm. The object isbetween the lens and the mirror, 20 cm from the lens and 50 cm from the mirror. Theobserver views the image that is formed first by reflection and then by refraction. What is the position of the final image, measured from the mirror?

114 cm

An ideal transformer consists of a 500-turn primary coil and a 2000-turn secondary coil. If 26) the current in the secondary is 3.0 A, what is the current in the primary?

12 A

An ideal transformer consists of a 500-turn primary coil and a 2000-turn secondary coil. If the 102) current in the secondary is 3.0 A, what is the current in the primary?

12 A

When a current of 2.0 A flows in the 100-turn primary of an ideal transformer, this causes 14 A to 101) flow in the secondary. How many turns are in the secondary?

14

When a current of 2.0 A flows in the 100-turn primary of an ideal transformer, this causes 14 A to flow in the secondary. How many turns are in the secondary?

14

A series circuit consists of ac source, a 90- resistor, a 0.80-H inductor, and an 80-μF capacitor. The frequency of the source is adjusted so that the capacitive reactance is equal to twice the inductive reactance. What is the frequency of the source?

14 Hz

A concave spherical mirror with a radius of 20 cm creates a real image 30 cm from the mirror. How far is the object from the mirror?

15 cm

Light of wavelength 575 nm passes through a double-slit and the third order bright fringe is seen at 95) an angle of 6.5° away from the central fringe. What is the separation between the double slits?

15 μm

When a potential difference of 10 V is placed across a certain solid cylindrical resistor, the current through it is 2 A. If the diameter of this resistor is now tripled, the current will be

18 A

A man's face is 30 cm in front of a concave spherical shaving mirror. If the 34) image is erect and 1.5 times as large as his face, what is the radius of curvatureof the mirror?

180 cm

A man's face is 30 cm in front of a concave spherical shaving mirror. If the image is erect and 1.5 times as large as his face, what is the radius of curvature of the mirror?

180 cm

A wire of resistivity Ε must be replaced in a circuit by a wire of the same material but 4 times as long. If, however, the resistance of the new wire is to be the same as the resistance of the original wire, the diameter of the new wire must be

2 times the diameter of the original wire.

An object is placed 10 cm from a convex lens of focal length 20 cm. What is the 35) lateral magnification of the object?

2.0

An object is placed 10 cm from a convex lens of focal length 20 cm. What is the lateral magnification 92) of the object?

2.0

A object is 12 cm in front of a concave spherical mirror, and the image is 3.0 cm in front of the mirror. What is the focal length of the mirror?

2.4 cm

A fish appears to be 2.00 m below the surface of a pond when viewed almost directly above by a fisherman. What is the actual depth of the fish? (nwater = 1.33)

2.66 m

In the figure, the thin lens forms a real image of the object 94.0 cm from the object. What is the focal length of the lens?

22.0 cm

A 1.0-C point charge is 15 m from a second point charge, and the electric force on one of them due to the other is 1.0 N. What is the magnitude of the second charge? (k = 1/40 = 8.99 × 109 N · m2/C2)

25 nC

A fisherman in a stream 39 cm deep looks downward into the water and sees a rock on the stream 90) bed. How deep does the stream appear to the fisherman? The index of refraction of the water is 1.33.

29cm

The speed of light in a material is 0.66c. What is the critical angle of a light ray at the interface 76) between the material and a vacuum?

29°

An ideal air-filled parallel-plate capacitor has round plates and carries a fixed amount of equal but opposite charge on its plates. All the geometric parameters of the capacitor (plate diameter and plate separation) are now DOUBLED. If the original capacitance was C0, what is the new capacitance?

2C0

At a distance D from a very long (essentially infinite) uniform line of charge, the electric field strength is 1000 N/C. At what distance from the line will the field strength to be 2000 N/C?

2E

An ideal parallel-plate capacitor consists of a set of two parallel plates of area A separated by a very small distance d. When the capacitor plates carry charges +Q and -Q, the capacitor stores energy U0. If the separation between the plates is doubled, how much electrical energy is stored in the capacitor?

2U0

Which one of the phasor diagrams shown below best represents a series LRC circuit driven at 104) resonance?

3

Two conductors are made of same material and have the same length. Conductor A is a solid wire of diameter 1.0 mm. Conductor B is a hollow tube of outside diameter 2.0 mm and inside diameter 1.0 mm. What is the resistance ratio measured between their ends?

3.0

In a double slit experiment, if the separation between the two slits is 0.050 mm and the distance 98) from the slits to a screen is 2.5 m, find the spacing between the first-order and second-order bright fringes when coherent light of wavelength 600 nm illuminates the slits.

3.0 cm

A coin rests on the bottom of a shallow pond of depth one meter. The refractive index of water is 4/3. Find the "exact" apparent depth of the coin.

3/4 meter

The speed of light in a material is 0.50c. What is the critical angle of a light ray at the interface 93) between the material and a vacuum?

30 degrees

A conducting sphere 45 cm in diameter carries an excess of charge, and no other charges 28) are present. You measure the potential of the surface of this sphere and find it to be 14 kV relative to infinity. (k = 1/40 = 8.99 × 109 N · m2/C2) Find the closrst excess charge on this sphere.

350 nC.

A object is 20 cm in front of a concave spherical mirror, and the image is 5.0 cm in front of the 96) mirror. What is the focal length of the mirror?

4.0cm

A resistor is made out of a long wire having a length L. Each end of the wire is attached to a terminal of a battery providing a constant voltage V0. A current I flows through the wire. If the wire were cut in half, making two wires of length L/2, and both wires were attached to the battery (the end of both wires attached to one terminal, and the other ends attached to the other terminal), what would be the total current flowing through the two wires?

4I

cylindrical copper rod has resistance R. The rod is reformed to twice its original length with no change of volume. Its new resistance is:

4R

If the voltage amplitude across an 8.50-nF capacitor is equal to 12.0 V when the current amplitude 103) through it is 3.33 mA, the frequency is closest to:

5.20 MHz

A conducting sphere is charged up such that the potential on its surface is 100 V (relative to 23) infinity). If the sphere's radius were twice as large, but the charge on the sphere were thesame, what would be the potential on the surface relative to infinity?

50 V

An alternating current is supplied to an electronic component with a warning that the 24) voltage across it should never exceed 12 V. What is the highest rms voltage that can besupplied to this component while staying below the voltage limit in the warning?

6 2V

Light from a monochromatic source shines through a double slit onto a screen 5.00 m away. The 97) slits are 0.180 mm apart. The dark bands on the screen are measured to be 1.70 cm apart. What isthe wavelength of the incident light?

612 nm

What is the critical angle for light traveling from crown glass (n = 1.52) into water (n = 1.33)?

61°

An optic fiber is made of clear plastic with index of refraction of 1.50, surrounded by air. For what 94) angles of incidence will light remain within the plastic fiber?

> 41.8°

When two or more capacitors are connected in series across a potential difference

All of the above

Which of the following statements about inductors are correct? There may be more than one correct choice.

An inductor always resists any change in the current through it.

Three equal negative point charges are placed at three of the corners of a square of side 106) d as shown in the figure. Which of the arrows represents the direction of the net electricfield at the center of the square?

C

A machine that changes mechanical energy to electrical energy is called:

Dynamo

Two large, flat, horizontally oriented plates are parallel to each other, a distance d apart. Half way between the two plates the electric field has magnitude E . If the separation of the plates is reduced to d /2 what is the magnitude of the electric field half way between the plates?

E

The electric field between square the plates of a parallel-plate capacitor has magnitude E. The potential across the plates is maintained with constant voltage by a battery as they are pulled apart to twice their original separation, which is small compared to the dimensions of the plates. The magnitude of the electric field between the plates is now equal to

E/2

A charge Q is uniformly spread over one surface of a very large nonconducting square elastic sheet having sides of length d . At a point P that is 1.25 cm outside the sheet, the magnitude of the electric field due to the sheet is E . If the sheet is now stretched so that its sides have length 2 d , what is the magnitude of the electric field at P ?

E/4

A point charge Q is located a short distance from a point charge 3Q , and no other charges are present. If the electrical force on Q is F , what is the electrical force on 3 Q ?

F

When an electromagnetic wave falls on a white, perfectly reflecting surface, it exerts a force F on 67) that surface. If the surface is now painted a perfectly absorbing black, what will be the force that thesame wave will exert on the surface?

F/2

If the electric flux through a closed surface is zero, the electric field at points on that surface must be zero

False

If the electric potential at a point in space is zero, then the electric field at that point must also be zero

False

Two equal positive charges are held in place at a fixed distance. If you put a third positive charge midway between these two charges, its electrical potential energy of the system (relative to infinity) is zero because the electrical forces on the third charge due to the two fixed charges just balance each other

False

When the electric field is zero at a point, the potential must also be zero there

False

A horizontal beam of vertically polarized light of intensity 43 W/m2 is sent through two polarizing 17) sheets. The polarizing direction of the first is at 700 to the vertical, and that of the second ishorizontal. What is the intensity of the light transmitted by the pair of sheets?

I=4.4 W/m2

An object is placed in front of a lens which forms an image of the object.

If the image is real, then it is also inverted.

An RC circuit is connected across an ideal DC voltage source through an open switch. The switch is closed at time t = 0 s. Which of the following statements regarding the circuit are correct? (There may be more than one correct choice.)

Once the capacitor is essentially fully charged, there is no appreciable current in the circuit

Two light waves that are represented by the rays A and B have wavelength 550.0 nm before 16) entering media 1 and 2. Medium 1 is air, and medium 2 is a transparent plastic layer of index ofrefraction 1.60 and thickness 2.60 μm. What is the phase difference of the emerging waves, in wavelengths?

Phase Difference = 0.84

The charge on the square plates of a parallel-plate capacitor is Q. The potential across the plates is maintained with constant voltage by a battery as they are pulled apart to twice their original separation, which is small compared to the dimensions of the plates. The amount of charge on the plates is now equal to

Q/2

The four identical capacitors in the circuit shown in the figure are initially uncharged. 108) Let the charges on the capacitors be Q1, Q2, Q3, and Q4 and the potential differences across them be V1, V2, V3, and V4. The switch is thrown first to position A and kept there for a long time. It is then thrown to position B. Which of the following conditions is true with the switch in position B?

Q1 = 3 Q2

To make an uncharged object have a positive charge:

Remove some electrons

A light bulb is connected in the circuit shown in the figure with the switch S open. All 110) the connecting leads have no appreciable resistance and the battery has no internalresistance. When we close the switch, which statements below accurately describe thebehavior of the circuit? (There may be more than one correct choice.)

The brightness of the bulb will increase. The potential drop across R2 will decrease.

Consider a spherical Gaussian surface of radius R centered at the origin. A charge Q is placed inside the sphere. To maximize the magnitude of the flux of the electric field through the Gaussian surface, the charge should be located

The charge can be located anywhere, since flux does not depend on the position of the charge as long as it is inside the sphere

Two capacitors, C1 and C2, are connected in series across a source of potential difference. With the potential source still connected, a dielectric is now inserted between the plates of capacitor C1. What happens to the charge on capacitor C2?

The charge on C2 increases

An uncharged conductor has a hollow cavity inside of it. Within this cavity there is a charge of +10 μC that does not touch the conductor. There are no other charges in the vicinity. Which statement about this conductor is true? (There may be more than one correct choice.

The inner surface of the conductor carries a charge of -10 µC and its outer surface carries no excess charge

Suppose a region of space has a uniform electric field, directed towards the right, as shown in the figure. Which statement about the electric potential is true?

The potential at points A and B are equal, and the potential at point C is lower than the potential at point A.

A conducting sphere contains positive charge distributed uniformly over its surface. Which statements about the potential due to this sphere are true? All potentials are measured relative to infinity. (There may be more than one correct choice.)

The potential at the center of the sphere is the same as the potential at the surface.

A nonconducting sphere contains positive charge distributed uniformly throughout its volume. Which statements about the potential due to this sphere are true? All potentials are measured relative to infinity. (There may be more than one correct choice.)

The potential is highest at the center of the sphere

If the electrical potential in a region is constant, the electric field must be zero everywhere in that region.

True

A charged capacitor stores energy U. Without connecting this capacitor to anything, dielectric having dielectric constant K is now inserted between the plates of the capacitor, completely filling the space between them. How much energy does the capacitor now store?

U/K

An ideal air-filled parallel-plate capacitor has round plates and carries a fixed amount of equal but opposite charge on its plates. All the geometric parameters of the capacitor (plate diameter and plate separation) are now DOUBLED. If the original energy stored in the capacitor was U0, how much energy does it now store?

U0/2

An ideal parallel-plate capacitor consists of a set of two parallel plates of area A separated by a very small distance d. When this capacitor is connected to a battery that maintains a constant potential difference between the plates, the energy stored in the capacitor is U0. If the separation between the plates is doubled, how much energy is stored in the capacitor?

U0/2

Which one of the following is an accurate statement about light?

When light strikes a surface at Brewster's angle, only the reflected light is 100% polarized.

Consider a proton and an electron placed near one another with no other objects close by. They

accelerate toward each other.

When electric current is flowing in a metal, the electrons are moving

at none of the above speeds

A convex lens has a focal length f. An object is placed between infinity and 2f from the lens along a line perpendicular to the center of the lens. The image is located at what distance from the lens?

between f and 2f

A transformer changes the 10,000 V power line to 120 V. If the primary coil contains 750 turns, how 99) many turns are on the secondary?

d 9

A long solenoid with 10.0 turns/cm and a radius of 7.00 cm carries a current of 20.0 mA. A current of 6.00 A exists in a straight conductor located along the axis of the solenoid.At what radial distance from the axis will the direction of the resulting magnetic field be at 45.0 0 to the axial direction?

d = 4.77 cm

When two point charges are a distance d part, the electric force that each one feels from the other has magnitude F . In order to make this force twice as strong, the distance would have to be changed to

d/(root2)

Suppose you have two negative point charges. As you move them farther and farther apart, the potential energy of this system relative to infinity

decreases

The energy per unit volume in an electromagnetic wave is

equally divided between the electric and magnetic fields

A charged particle is moving with speed v perpendicular to a uniform magnetic field. A second identical charged particle is moving with speed 2v perpendicular to the same magnetic field. If the frequency of revolution of the first particle is f, the frequency of revolution of the second particle is

f

A convex lens has focal length f. If an object is located extremely far from the lens (at infinity), the image formed is located what distance from the lens?

f

A convex lens has a focal length f. An object is placed at a distance between f and 2f on a line perpendicular to the center of the lens. The image formed is located at what distance from the lens?

farther than 2f

Suppose you have two point charges of opposite sign. As you move them farther and farther apart, the potential energy of this system relative to infinity

increases

As you walk away from a vertical plane mirror, your image in the mirror

is always the same height.

When light goes from one material into another material having a HIGHER index of refraction

its speed and wavelength decrease, but its frequency stays the same

A ray of light goes from one transparent material into another, as shown in the figure. What can you conclude about the indices of refraction of these two materials?

n1 > n2

A ray of light strikes a boundary between two transparent materials, and there is no transmitted 74) ray, as shown in the figure. What can you conclude about the indices of refraction of these twomaterials?

n1 > n2

In an electromagnetic wave, the electric and magnetic fields are oriented such that they are

perpendicular to one another and perpendicular to the direction of wave propagation.

Which one of the following lists is a correct representation of electromagnetic waves from longer 65) wavelength to shorter wavelength?

radio waves, microwaves, infrared, visible, UV, X-rays, gamma rays

Consider a solenoid of length L, N windings, and radius b (L is much longer than b). A current I is 60) flowing through the wire. If the radius of the solenoid were doubled (becoming 2b), and all other quantities remained the same, the magnetic field inside the solenoid would

remain the same

A horizontal wire carries a current straight toward you. From your point of view, the magnetic field at a point directly below the wire points

right

The electrical force between two charged objects depends on

the net charge on each object individually

When two or more capacitors are connected in parallel across a potential difference

the potential difference across each capacitor is the same.

A capacitor is hooked up to a resistor and an AC voltage source as shown in the figure. The output 64) of the source is given by V(t) = V0 sin t. The plates of the capacitor are disks of radius R. Point P is directly between the two plates, equidistant from them and a distance R/2 from the center axis. At point P

there is a time-varying magnetic field


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