Question 1

A multiloop circuit is shown in the figure. Find the emf ε1 if the batteries are ideal. (It is not necessary to solve the entire circuit.)

Accepted Answer

A)  -4 V 
B)  4 V 
C)  44 V 
D)  52 V 
E)  -52 V 
A)  -4 V 
B)  4 V 
C)  44 V 
D)  52 V 
E)  -52 V

Question 2

Four resistors are connected across an ideal dc source of V = 8.0 V, as shown in the figure. Assume all resistances shown are accurate to two significant figures. What is the current through the 9.0-Ω resistor?

Accepted Answer

A)  1.0 A 
B)  0.67 A 
C)  0.50 A 
D)  0.90 A 
E)  2.0 A 
A)  1.0 A 
B)  0.67 A 
C)  0.50 A 
D)  0.90 A 
E)  2.0 A

Question 3

Two 100-W light bulbs of fixed resistance are to be connected to an ideal 120-V source. What are the current, potential difference, and dissipated power for each bulb when they are connected
(a) in parallel (the normal arrangement)?
(b) in series?

Accepted Answer

(a) 0.83 A in each; 120 V for

Question 4

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 $18.0 \mathrm { pF } \text {, }$ 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 5

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

Accepted Answer

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

Question 6

A 4.0-Ω resistor is connected with a 12-Ω resistor and both of these are connected across an ideal dc power supply with voltage V as shown in the figure. If the total current in this circuit is I = 2.0 A, what is the current through the 4.0-Ω resistor?

Accepted Answer

A)  2.0 A 
B)  2.5 A 
C)  0.5 A 
D)  3.0 A 
E)  1.5 A 
A)  2.0 A 
B)  2.5 A 
C)  0.5 A 
D)  3.0 A 
E)  1.5 A

Question 7

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 8

In the circuit shown in the figure, all the capacitors are initially uncharged when the switch S is suddenly closed, and the battery is ideal. Find (a) the maximum reading of the ammeter and (b) the maximum charge on the 5.00-µF capacitor.

Accepted Answer

(a) 2.50 A

Question 9

An uncharged capacitor is connected in series with a resistor, a dc battery, and an open switch. At time t = 0 s, the switch is closed. Which of the graphs below best describes the current I through the resistor as a function of time t?

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
E) 
  
A) 
  
B) 
  
C) 
  
D) 
  
E)

Question 10

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 11

Four 16-μF 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 12

What is the equivalent resistance of the circuit shown in the figure? The battery is ideal and all resistances are accurate to 3 significant figures.

Accepted Answer

A)  950 Ω 
B)  450 Ω 
C)  392 Ω 
D)  257 Ω 
A)  950 Ω 
B)  450 Ω 
C)  392 Ω 
D)  257 Ω

Question 13

Three identical capacitors are connected in parallel to a potential source (battery). If a charge of Q flows into this combination, how much charge does each capacitor carry?

Accepted Answer

A)  3Q 
B)  Q 
C)  Q/3 
D)  Q/9 
A)  3Q 
B)  Q 
C)  Q/3 
D)  Q/9

Question 14

A system of four capacitors is connected across a 90-V voltage source as shown in the figure.
(a) What is the potential difference across the plates of the 6.0-µF capacitor?
(b) What is the charge on the 3.0-µF capacitor?

Accepted Answer

The answer of A system of four capacitors is connected...

Question 15

A multiloop circuit is shown in the figure, but some quantities are not labeled. Find the current I1 if the batteries are ideal. (It is not necessary to solve the entire circuit.)

Accepted Answer

A)  0 A 
B)  +0.2 A 
C)  +0.4 A 
D)  -0.2 A 
E)  -0.4 A 
A)  0 A 
B)  +0.2 A 
C)  +0.4 A 
D)  -0.2 A 
E)  -0.4 A

Question 16

What is the magnitude of the potential difference between points B 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 17

Two resistors with resistances of 5.0 Ω and 9.0 Ω are connected in parallel. A 4.0-Ω resistor is then connected in series with this parallel combination. An ideal 6.0-V battery is then connected across the series-parallel combination. What is the current through (a) the 4.0-Ω resistor and (b) the 5.0-Ω resistor?

Accepted Answer

(a) 0.83 A

Question 18

A 22-A current flows into a parallel combination of 4.0-Ω, 6.0-Ω, and 12-Ω resistors. What current flows through the 12-Ω resistor?

Accepted Answer

A)  18 A 
B)  11 A 
C)  7.3 A 
D)  3.7 A 
A)  18 A 
B)  11 A 
C)  7.3 A 
D)  3.7 A

Question 19

Two 4.0-Ω resistors are connected in parallel, and this combination is connected in series with 3.0 Ω. What is the equivalent resistance of this system?

Accepted Answer

A)  1.2 Ω 
B)  5.0 Ω 
C)  7.0 Ω 
D)  11 Ω 
A)  1.2 Ω 
B)  5.0 Ω 
C)  7.0 Ω 
D)  11 Ω

Question 20

For the circuit shown in the figure, calculate the emf's ε1 and ε3, assuming that the batteries are ideal. Note that two currents are shown.

Accepted Answer

Exam 23: Circuits

A multiloop circuit is shown in the figure. Find the emf ε1 if the batteries are ideal. (It is not necessary to solve the entire circuit.)

Four resistors are connected across an ideal dc source of V = 8.0 V, as shown in the figure. Assume all resistances shown are accurate to two significant figures. What is the current through the 9.0-Ω resistor?

Two 100-W light bulbs of fixed resistance are to be connected to an ideal 120-V source. What are the current, potential difference, and dissipated power for each bulb when they are connected (a) in parallel (the normal arrangement)? (b) in series?

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

A 4.0-Ω resistor is connected with a 12-Ω resistor and both of these are connected across an ideal dc power supply with voltage V as shown in the figure. If the total current in this circuit is I = 2.0 A, what is the current through the 4.0-Ω resistor?

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?

In the circuit shown in the figure, all the capacitors are initially uncharged when the switch S is suddenly closed, and the battery is ideal. Find (a) the maximum reading of the ammeter and (b) the maximum charge on the 5.00-µF capacitor.

An uncharged capacitor is connected in series with a resistor, a dc battery, and an open switch. At time t = 0 s, the switch is closed. Which of the graphs below best describes the current I through the resistor as a function of time t?

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

Four 16-μF 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?

What is the equivalent resistance of the circuit shown in the figure? The battery is ideal and all resistances are accurate to 3 significant figures.

Three identical capacitors are connected in parallel to a potential source (battery). If a charge of Q flows into this combination, how much charge does each capacitor carry?

A system of four capacitors is connected across a 90-V voltage source as shown in the figure. (a) What is the potential difference across the plates of the 6.0-µF capacitor? (b) What is the charge on the 3.0-µF capacitor?

A multiloop circuit is shown in the figure, but some quantities are not labeled. Find the current I1 if the batteries are ideal. (It is not necessary to solve the entire circuit.)

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

A 22-A current flows into a parallel combination of 4.0-Ω, 6.0-Ω, and 12-Ω resistors. What current flows through the 12-Ω resistor?

Two 4.0-Ω resistors are connected in parallel, and this combination is connected in series with 3.0 Ω. What is the equivalent resistance of this system?

For the circuit shown in the figure, calculate the emf's ε1 and ε3, assuming that the batteries are ideal. Note that two currents are shown.

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A multiloop circuit is shown in the figure. Find the emf ε₁ if the batteries are ideal. (It is not necessary to solve the entire circuit.)

A multiloop circuit is shown in the figure, but some quantities are not labeled. Find the current I₁ if the batteries are ideal. (It is not necessary to solve the entire circuit.)

For the circuit shown in the figure, calculate the emf's ε₁ and ε₃, assuming that the batteries are ideal. Note that two currents are shown.