Question 1

A number of resistors are connected across points A and B as shown in the figure. What is the equivalent resistance between points A and B?

Accepted Answer

A) 4 Ω 
B) 6 Ω 
C) 8 Ω 
D) 10 Ω 
E) 12 Ω 
A) 4 Ω 
B) 6 Ω 
C) 8 Ω 
D) 10 Ω 
E) 12 Ω C

Question 2

A group of 1.0-μF, 2.0-μF, and 3.0-μF capacitors is connected in parallel across a 24-V potential difference (a battery). How much energy is stored in this three-capacitor combination when the capacitors are fully charged?

Accepted Answer

A) 1.7 mJ 
B) 2.1 mJ 
C) 4.8 mJ 
D) 7.1 mJ 
A) 1.7 mJ 
B) 2.1 mJ 
C) 4.8 mJ 
D) 7.1 mJ A

Question 3

Three capacitors are connected as shown in the figure. What is the equivalent capacitance between points A and B?

Accepted Answer

A) 12 μF 
B) 4.0 μC 
C) 7.1 μF 
D) 1.7 μF 
E) 8.0 μF 
A) 12 μF 
B) 4.0 μC 
C) 7.1 μF 
D) 1.7 μF 
E) 8.0 μF D

Question 4

A portion of a circuit is shown in the figure, and the batteries are ideal. What is the potential difference VA - VB if I = 5.0 A?

Accepted Answer

A) 63 V 
B) 35 V 
C) 55 V 
D) 45 V 
E) 71 V 
A) 63 V 
B) 35 V 
C) 55 V 
D) 45 V 
E) 71 V

Question 5

In the circuit shown in the figure, the resistor R has a variable resistance. As R is decreased, what happens to the currents?

Accepted Answer

A) I1 remains unchanged and I2 increases. 
B) I1 decreases and I2 decreases. 
C) I1 decreases and I2 increases. 
D) I1 increases and I2 decreases. 
E) I1 increases and I2 increases. 
A) I1 remains unchanged and I2 increases. 
B) I1 decreases and I2 decreases. 
C) I1 decreases and I2 increases. 
D) I1 increases and I2 decreases. 
E) I1 increases and I2 increases.

Question 6

Three resistors with resistances of 2.0 Ω, 6.0 Ω, and 12 Ω are connected across an ideal dc voltage source V, as shown in the figure. If the total current in the circuit is I = 5.0 A, what is the current through the 12-Ω resistor?

Accepted Answer

A) 1.7 A 
B) 2.5 A 
C) 0.56 A 
D) 5.0 A 
E) 0.75 A 
A) 1.7 A 
B) 2.5 A 
C) 0.56 A 
D) 5.0 A 
E) 0.75 A

Question 7

A multiloop circuit is shown in the figure, but some quantities are not labeled. Find the current I2 if the batteries are ideal. (It is not necessary to solve the entire circuit.)

Accepted Answer

A) +0.1 A 
B) +0.3 A 
C) +0.5 A 
D) -0.1 A 
E) -0.3 A 
A) +0.1 A 
B) +0.3 A 
C) +0.5 A 
D) -0.1 A 
E) -0.3 A

Question 8

If 1.5 A flows through R2, what is the emf V of the ideal battery in the figure?

Accepted Answer

A) 150 V 
B) 75 V 
C) 60 V 
D) 30 V 
A) 150 V 
B) 75 V 
C) 60 V 
D) 30 V

Question 9

Determine the current in the 8.0-Ω resistor for the circuit shown in the figure. Assume that the batteries are ideal and that all numbers are accurate to two significant figures.

Accepted Answer

A) 0.28 A 
B) 1.3 A 
C) 1.6 A 
D) 2.1 A 
A) 0.28 A 
B) 1.3 A 
C) 1.6 A 
D) 2.1 A

Question 10

A circuit contains a 2.0-M? resistor in series with an uncharged capacitor. When this combination is connected across an ideal battery, the capacitor reaches 25% of its maximum charge in 1.5 s. What is its capacitance?

Accepted Answer

The answer of A circuit contains a 2.0-M? resistor in...

Question 11

A certain 20-A circuit breaker trips when the current in it equals 20 A. What is the maximum number of 100-W light bulbs you can connect in parallel in an ideal 120-V dc circuit without tripping this circuit breaker?

Accepted Answer

A) 11 
B) 17 
C) 23 
D) 27 
A) 11 
B) 17 
C) 23 
D) 27

Question 12

For the circuit shown in the figure, the current in the 8.0-Ω resistor is 0.50A. What is the current in the 2.0-Ω resistor? All the numbers shown are accurate to two significant figures.

Accepted Answer

A) 2.25 A 
B) 0.75 A 
C) 4.5 A 
D) 9.5 A 
E) 6.4 A 
A) 2.25 A 
B) 0.75 A 
C) 4.5 A 
D) 9.5 A 
E) 6.4 A

Question 13

A system of four capacitors is connected across a 90-V voltage source as shown in the figure. What is the equivalent capacitance of this system?

Accepted Answer

A) 1.5 μF 
B) 15 μF 
C) 3.6 μF 
D) 3.3 μF 
A) 1.5 μF 
B) 15 μF 
C) 3.6 μF 
D) 3.3 μF

Question 14

What resistance must be connected in parallel with a 633-? resistor to produce an equivalent resistance of 205 ??

Accepted Answer

The answer of What resistance must be connected in parallel...

Question 15

What is the magnitude of the potential difference between points A and C for the circuit shown in the figure? The battery is ideal, and all the numbers are accurate to two significant figures.

Accepted Answer

A) 6.0 V 
B) 4.0 V 
C) 3.0 V 
D) 2.0 V 
A) 6.0 V 
B) 4.0 V 
C) 3.0 V 
D) 2.0 V

Question 16

Four 16-?F capacitors are connected in combination. What is the equivalent capacitance of this combination if they are connected
(a)in series?
(b)in parallel?
(c)such that two of them are in parallel with each other and that combination is in series with the remaining two capacitors?

Accepted Answer

(a)4.0 µF

Question 17

For the circuit shown in the figure, V = 60 V, C = 40 µF, R = 0.90 MΩ, and the battery is ideal. Initially the switch S is open and the capacitor is uncharged. The switch is then closed at time t = 0.00 s. At a given instant after closing the switch, the potential difference across the capacitor is twice the potential difference across the resistor. At that instant, what is the charge on the capacitor?

Accepted Answer

A) 1600 µC 
B) 1400 µC 
C) 1200 µC 
D) 890 µC 
E) 600 µC 
A) 1600 µC 
B) 1400 µC 
C) 1200 µC 
D) 890 µC 
E) 600 µC

Question 18

Three capacitors are arranged as shown in the figure, with a voltage source connected across the combination. C1 has a capacitance of $9.0 \mathrm { pF }$ $C _ { 2 }$ has a capacitance of $18.0 \mathrm { pF }$ and $C _ { 3 }$ has a capacitance of $27.0 \mathrm { pF }$ Find the potential drop across the entire arrangement if the potential drop across C2 is $$257.0 \mathrm {~V}$$

Accepted Answer

A) 1500 V 
B) 1000 V 
C) 470 V 
D) 430 V 
A) 1500 V 
B) 1000 V 
C) 470 V 
D) 430 V

Question 19

For the circuit shown in the figure, C = 12 µF and R = 8.5 MΩ. Initially the switch S is open with the capacitor charged to a voltage of 80 V. The switch is then closed at time t = 0.00 s. What is the charge on the capacitor, when the current in the circuit is 3.3 µA?

Accepted Answer

A) 350 µC 
B) 340 µC 
C) 480 µC 
D) 620 µC 
E) 700 µC 
A) 350 µC 
B) 340 µC 
C) 480 µC 
D) 620 µC 
E) 700 µC

Question 20

Four resistors having resistances of 20 Ω, 40 Ω, 60 Ω, and 80 Ω are connected in series across an ideal 50-V dc source. What is the current through each resistor?

Accepted Answer

A) 0.25 A 
B) 0.50 A 
C) 0.75 A 
D) 2.0 A 
E) 4.0 A 
A) 0.25 A 
B) 0.50 A 
C) 0.75 A 
D) 2.0 A 
E) 4.0 A

Exam 23: Circuits

A number of resistors are connected across points A and B as shown in the figure. What is the equivalent resistance between points A and B?

A group of 1.0-μF, 2.0-μF, and 3.0-μF capacitors is connected in parallel across a 24-V potential difference (a battery). How much energy is stored in this three-capacitor combination when the capacitors are fully charged?

Three capacitors are connected as shown in the figure. What is the equivalent capacitance between points A and B?

A portion of a circuit is shown in the figure, and the batteries are ideal. What is the potential difference VA - VB if I = 5.0 A?

In the circuit shown in the figure, the resistor R has a variable resistance. As R is decreased, what happens to the currents?

Three resistors with resistances of 2.0 Ω, 6.0 Ω, and 12 Ω are connected across an ideal dc voltage source V, as shown in the figure. If the total current in the circuit is I = 5.0 A, what is the current through the 12-Ω resistor?

A multiloop circuit is shown in the figure, but some quantities are not labeled. Find the current I2 if the batteries are ideal. (It is not necessary to solve the entire circuit.)

If 1.5 A flows through R2, what is the emf V of the ideal battery in the figure?

Determine the current in the 8.0-Ω resistor for the circuit shown in the figure. Assume that the batteries are ideal and that all numbers are accurate to two significant figures.

A circuit contains a 2.0-M? resistor in series with an uncharged capacitor. When this combination is connected across an ideal battery, the capacitor reaches 25% of its maximum charge in 1.5 s. What is its capacitance?

A certain 20-A circuit breaker trips when the current in it equals 20 A. What is the maximum number of 100-W light bulbs you can connect in parallel in an ideal 120-V dc circuit without tripping this circuit breaker?

For the circuit shown in the figure, the current in the 8.0-Ω resistor is 0.50A. What is the current in the 2.0-Ω resistor? All the numbers shown are accurate to two significant figures.

A system of four capacitors is connected across a 90-V voltage source as shown in the figure. What is the equivalent capacitance of this system?

What resistance must be connected in parallel with a 633-? resistor to produce an equivalent resistance of 205 ??

What is the magnitude of the potential difference between points A and C for the circuit shown in the figure? The battery is ideal, and all the numbers are accurate to two significant figures.

Four 16-?F capacitors are connected in combination. What is the equivalent capacitance of this combination if they are connected (a)in series? (b)in parallel? (c)such that two of them are in parallel with each other and that combination is in series with the remaining two capacitors?

For the circuit shown in the figure, C = 12 µF and R = 8.5 MΩ. Initially the switch S is open with the capacitor charged to a voltage of 80 V. The switch is then closed at time t = 0.00 s. What is the charge on the capacitor, when the current in the circuit is 3.3 µA?

Four resistors having resistances of 20 Ω, 40 Ω, 60 Ω, and 80 Ω are connected in series across an ideal 50-V dc source. What is the current through each resistor?

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Filters

A portion of a circuit is shown in the figure, and the batteries are ideal. What is the potential difference V_A- V_B if I = 5.0 A?

A multiloop circuit is shown in the figure, but some quantities are not labeled. Find the current I₂ if the batteries are ideal. (It is not necessary to solve the entire circuit.)

If 1.5 A flows through R₂, what is the emf V of the ideal battery in the figure?