Question 1

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

Accepted Answer

A)  increases. 
B)  decreases. 
C)  does not change. 
D)  increases for a time and then starts to decrease. 
A)  increases. 
B)  decreases. 
C)  does not change. 
D)  increases for a time and then starts to decrease. A

Question 2

A network of capacitors is connected across a potential difference V0 as shown in the figure.
(a) What should V0 be so that the 60.0-µF capacitor will have 18.0 µC of charge on each of its plates?
(b) Under the conditions of part (a), how much total energy is stored in this network of capacitors?

Accepted Answer

(a) 1.50 V (b) 13.5 μJ

Question 3

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 through the circuit is I = 2.0 A, what is the applied voltage V?

Accepted Answer

A)  6.0 V 
B)  3.0 V 
C)  2.0 V 
D)  2.7 V 
E)  1.5 V 
A)  6.0 V 
B)  3.0 V 
C)  2.0 V 
D)  2.7 V 
E)  1.5 V D

Question 4

A combination of a 2.0-Ω resistor in series with 4.0-Ω resistor is connected in parallel with a 3.0-Ω resistor. What is the equivalent resistance of this system?

Accepted Answer

A)  2.0 Ω 
B)  3.0 Ω 
C)  4.0 Ω 
D)  9.0 Ω 
A)  2.0 Ω 
B)  3.0 Ω 
C)  4.0 Ω 
D)  9.0 Ω

Question 5

A 5.0-μF and a 12.0-μF capacitor are connected in series, and the series arrangement is connected in parallel to a $29.0 - \mu \mathrm { F }$ capacitor. How much capacitance would a single capacitor need to replace this combination of three capacitors?

Accepted Answer

A)  33 μF 
B)  13 μF 
C)  16 μF 
D)  38 μF 
A)  33 μF 
B)  13 μF 
C)  16 μF 
D)  38 μF

Question 6

A charged capacitor is connected in series with a resistor 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 7

In the circuit shown in the figure, R1 = R2 = 90.0 Ω, R3 = R4 = 20.0 Ω, V1 = 7.0 V, V2 = 8.0 V, and the batteries are both ideal. What current does the ammeter read?

Accepted Answer

A)  0.40 A 
B)  0.050 A 
C)  0.83 A 
D)  0.056 A 
A)  0.40 A 
B)  0.050 A 
C)  0.83 A 
D)  0.056 A

Question 8

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 9

Two resistors in series are equivalent to 9.0 Ω, and in parallel they are equivalent to 2.0 Ω. What are the resistances of these two resistors?

Accepted Answer

The answer of Two resistors in series are equivalent to...

Question 10

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 11

For the circuit shown in the figure, R1 = 18 Ω, R2 = 44 Ω, R3 = 33 Ω, R4 = 14 Ω, R5 = 12 Ω, V1 = 18 V, V2 = 12 V, and the batteries are ideal. Determine I1 and I2.

Accepted Answer

I₁ = 0.25 A

Question 12

A fully charged 37-µF capacitor is discharged through a 1.0-kΩ resistor. If the voltage across the capacitor is reduced to 7.6 volts after just 20 ms, what was the original potential across the capacitor?

Accepted Answer

A)  16 V 
B)  13 V 
C)  11 V 
D)  9.0 V 
E)  8.0 V 
A)  16 V 
B)  13 V 
C)  11 V 
D)  9.0 V 
E)  8.0 V

Question 13

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 14

For the circuit shown in the figure, R1 = 5.6 Ω, R2 = 5.6 Ω, R3 = 14 Ω, and ε = 6.0 V, and the battery is ideal.
(a) What is the equivalent resistance across the battery?
(b) Find the current through each resistor.

Accepted Answer

(a) 9.6 Ω

Question 15

An ideal 100-V dc battery is applied across a series combination of four resistors having resistances of 20 Ω, 40 Ω, 60 Ω, and 80 Ω. What is the potential difference across the 40-Ω resistor?

Accepted Answer

A)  20 V 
B)  40 V 
C)  60 V 
D)  80 V 
E)  100 V 
A)  20 V 
B)  40 V 
C)  60 V 
D)  80 V 
E)  100 V

Question 16

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

Question 17

If emf of the ideal battery is V = 100 V, what is the potential difference across R5 for the circuit shown in the figure?

Accepted Answer

A)  19 V 
B)  40 V 
C)  75 V 
D)  77 V 
A)  19 V 
B)  40 V 
C)  75 V 
D)  77 V

Question 18

What is the equivalent resistance between points A and B of the network shown in the figure?

Accepted Answer

The answer of What is the equivalent resistance between points...

Question 19

Three capacitors of equal capacitance are arranged as shown in the figure, with a voltage source across the combination. If the voltage drop across C1 is $10.0 \mathrm {~V} \text {, }$ what is the voltage drop across $C _ { 3 } ?$

Accepted Answer

A)  20 V 
B)  10.0 V 
C)  40 V 
D)  30 V 
A)  20 V 
B)  10.0 V 
C)  40 V 
D)  30 V

Question 20

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

Exam 23: Circuits

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

A network of capacitors is connected across a potential difference V0 as shown in the figure. (a) What should V0 be so that the 60.0-µF capacitor will have 18.0 µC of charge on each of its plates? (b) Under the conditions of part (a), how much total energy is stored in this network of capacitors?

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 through the circuit is I = 2.0 A, what is the applied voltage V?

A combination of a 2.0-Ω resistor in series with 4.0-Ω resistor is connected in parallel with a 3.0-Ω resistor. What is the equivalent resistance of this system?

A 5.0-μF and a 12.0-μF capacitor are connected in series, and the series arrangement is connected in parallel to a 29.0−μF29.0 - \mu \mathrm { F }29.0−μF capacitor. How much capacitance would a single capacitor need to replace this combination of three capacitors?

A charged capacitor is connected in series with a resistor 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, R1 = R2 = 90.0 Ω, R3 = R4 = 20.0 Ω, V1 = 7.0 V, V2 = 8.0 V, and the batteries are both ideal. What current does the ammeter read?

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.

Two resistors in series are equivalent to 9.0 Ω, and in parallel they are equivalent to 2.0 Ω. What are the resistances of these two resistors?

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?

For the circuit shown in the figure, R1 = 18 Ω, R2 = 44 Ω, R3 = 33 Ω, R4 = 14 Ω, R5 = 12 Ω, V1 = 18 V, V2 = 12 V, and the batteries are ideal. Determine I1 and I2.

A fully charged 37-µF capacitor is discharged through a 1.0-kΩ resistor. If the voltage across the capacitor is reduced to 7.6 volts after just 20 ms, what was the original potential across the capacitor?

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?

For the circuit shown in the figure, R1 = 5.6 Ω, R2 = 5.6 Ω, R3 = 14 Ω, and ε = 6.0 V, and the battery is ideal. (a) What is the equivalent resistance across the battery? (b) Find the current through each resistor.

An ideal 100-V dc battery is applied across a series combination of four resistors having resistances of 20 Ω, 40 Ω, 60 Ω, and 80 Ω. What is the potential difference across the 40-Ω resistor?

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?

If emf of the ideal battery is V = 100 V, what is the potential difference across R5 for the circuit shown in the figure?

What is the equivalent resistance between points A and B of the network shown in the figure?

Three capacitors of equal capacitance are arranged as shown in the figure, with a voltage source across the combination. If the voltage drop across C1 is 10.0 V, 10.0 \mathrm {~V} \text {, }10.0 V, what is the voltage drop across C3?C _ { 3 } ?C3​?

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?

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Filters

A 5.0-μF and a 12.0-μF capacitor are connected in series, and the series arrangement is connected in parallel to a $29.0 - \mu \mathrm { F }$ capacitor. How much capacitance would a single capacitor need to replace this combination of three capacitors?

In the circuit shown in the figure, R₁ = R₂ = 90.0 Ω, R₃ = R₄ = 20.0 Ω, V₁ = 7.0 V, V₂ = 8.0 V, and the batteries are both ideal. What current does the ammeter read?

For the circuit shown in the figure, R₁ = 18 Ω, R₂ = 44 Ω, R₃ = 33 Ω, R₄ = 14 Ω, R₅ = 12 Ω, V₁= 18V, V₂ = 12 V, and the batteries are ideal. Determine I₁ and I₂.

For the circuit shown in the figure, R₁ = 5.6 Ω, R₂ = 5.6 Ω, R₃ = 14 Ω, and ε = 6.0 V, and the battery is ideal. (a) What is the equivalent resistance across the battery? (b) Find the current through each resistor.

If emf of the ideal battery is V = 100 V, what is the potential difference across R₅ for the circuit shown in the figure?

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?