Physics review, Chapter 20

***How much energy is stored in the combination of capacitors shown? - - - - -

0.03 J

The resistivity of a silver wire with a radius of 5.04 ◊ 10ñ4 m is 1.59 ◊ 10ñ8 Ω ⋅ m. If the length of the wire is 3.00 m, what is the resistance of the wire?

0.0598 Ω

A 4.5-V battery is connected to two resistors connected in series as shown in the drawing. Determine the total power dissipated in the resistors. - - - -

0.15 W

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?

0.25 A

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? - - - - -

0.52 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?

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. - - - - -

0.75 A

Five resistors are connected as shown in the diagram. The potential difference between points A and B is 15 V. - - - - - - What is the current in the 3.6-Ω resistor?

1.7 A

Three resistors are placed in a circuit as shown. The potential difference between points A and B is 30 V. - - - -What is the potential drop across the 10-Ω resistor?

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?

100 C

. 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?

100 μC

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?

1440 J

How many electrons flow through a battery that delivers a current of 3.0 A for 12 s?

2.2 ◊ 1020

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?

2.3 Ω

Five resistors are connected as shown in the diagram. The potential difference between points A and B is 25 V. - -- - - What is the current through the 1.8-Ω resistor?

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?

240 µF and 240 µF

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?

3 μF

Five resistors are connected as shown in the diagram. The potential difference between points A and B is 25 V. - -- - - -What is the current through the 3.6-Ω resistor?

3.3 A

Determine the power dissipated by the 40-Ω resistor in the circuit shown. - - - - -

3.6 W

Three resistors are placed in a circuit as shown. The potential difference between points A and B is 30 V. - - - - -What is the equivalent resistance between the points A and B?

30 Ω

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?

350 Ω

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?

4.2 Ω

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?

4.3 Ω

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.

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?

51 W

Five resistors are connected as shown in the diagram. The potential difference between points A and B is 25 V. - -- - - - What is the equivalent resistance between the points A and B?

7.5 Ω

Determine the length of a copper wire that has a resistance of 0.172 Ω and cross-sectional area of 7.85 ◊ 10ñ5 m2. The resistivity of copper is 1.72 ◊ 10ñ8 Ω ⋅ m.

785 m

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?

8.2 ◊ 10ñ5 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?

96 Ω

Which one of the following statements concerning superconductors is false?

All materials are superconducting at temperatures near absolute zero kelvin.

Which one of the following statements concerning resistors in series is true?

The current through each resistor is the same

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?

The current through the entire circuit will decrease.

Which one of the following statements concerning resistance is true?

The resistance of a metal wire changes with temperature.

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

increase by a factor of four.

Four resistors and a 6-V battery are arranged as shown in the circuit diagram. - - - - - The largest potential difference is across which resistor(s)?

the 20-Ω resistor

Four resistors and a 6-V battery are arranged as shown in the circuit diagram. - - - - - The smallest current passes through which resistor(s)?

the 60-Ω resistor

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,

the total current through the battery will increase.