Question 1

A 2.0-μF capacitor that is initially uncharged is charged through a 50-kΩ resistor. How long does it take for the capacitor to reach 90% of its full charge?

Accepted Answer

A) 0.90 s 
B) 0.23 s 
C) 2.2 s 
D) 2.3 s 
A) 0.90 s 
B) 0.23 s 
C) 2.2 s 
D) 2.3 s

Question 2

A 1.0-?F capacitor is charged until it acquires a potential difference of $900.0 \mathrm {~V}$ across its plates, and then the emf source is removed. If the capacitor is then discharged through a $500.0 - \mathrm { k } \Omega$ resistance, what is the voltage drop across the capacitor $9.0 \mathrm {~ms}$ after beginning the discharge?

Accepted Answer

A) 880 V 
B) 920 V 
C) 16 V 
D) -16 V 
A) 880 V 
B) 920 V 
C) 16 V 
D) -16 V

Question 3

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

The answer of In the circuit shown in the figure,...

Question 4

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 5

A 3.0-Ω resistor is connected in parallel with a 6.0-Ω resistor. This combination is then connected in series with a 4.0-Ω resistor. The resistors are connected across an ideal 12-volt battery. How much power is dissipated in the 3.0-Ω resistor?

Accepted Answer

A) 2.7 W 
B) 5.3 W 
C) 6.0 W 
D) 12 W 
A) 2.7 W 
B) 5.3 W 
C) 6.0 W 
D) 12 W

Question 6

A 8.0-μF uncharged capacitor is connected in series with a 6.0-kΩ resistor, an ideal 20-V dc source, and an open switch. If the switch is closed at time t = 0.0 s, what is the charge on the capacitor at t = 9.0 ms?

Accepted Answer

A) 0 C 
B) 37% of the minimum charge 
C) 17% of the maximum charge 
D) 68% of the minimum charge 
E) 96% of the maximum charge 
A) 0 C 
B) 37% of the minimum charge 
C) 17% of the maximum charge 
D) 68% of the minimum charge 
E) 96% of the maximum charge

Question 7

When unequal resistors are connected in series across an ideal battery,

Accepted Answer

A) the same power is dissipated in each one. 
B) the potential difference across each is the same. 
C) the current flowing in each is the same. 
D) the equivalent resistance of the circuit is less than that of the smallest resistor. 
E) the equivalent resistance of the circuit is equal to the average of all the resistances. 
A) the same power is dissipated in each one. 
B) the potential difference across each is the same. 
C) the current flowing in each is the same. 
D) the equivalent resistance of the circuit is less than that of the smallest resistor. 
E) the equivalent resistance of the circuit is equal to the average of all the resistances.

Question 8

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 9

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 10

For the circuit shown in the figure, what is the power dissipated in the 2.0-Ω resistor? All the numbers shown are accurate to three significant figures.

Accepted Answer

A) 5.33 W 
B) 8.00 W 
C) 6.67 W 
D) 2.67 W 
E) 3.56 W 
A) 5.33 W 
B) 8.00 W 
C) 6.67 W 
D) 2.67 W 
E) 3.56 W

Question 11

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 12

A 4.0-Ω resistor is connected to a 12-Ω resistor and this combination is connected to 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 value of voltage V?

Accepted Answer

A) 2.0 V 
B) 3.0 V 
C) 6.0 V 
D) 1.5 V 
E) 8.0 V 
A) 2.0 V 
B) 3.0 V 
C) 6.0 V 
D) 1.5 V 
E) 8.0 V

Question 13

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 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

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

Question 16

Determine the current in the 7.0-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 17

When unequal resistors are connected in parallel in a circuit,

Accepted Answer

A) the same current always runs through each resistor. 
B) the potential drop is always the same across each resistor. 
C) the largest resistance has the largest current through it. 
D) the power generated in each resistor is the same. 
A) the same current always runs through each resistor. 
B) the potential drop is always the same across each resistor. 
C) the largest resistance has the largest current through it. 
D) the power generated in each resistor is the same.

Question 18

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 19

A resistor is made out of a wire having a length L. When the ends of the wire are attached across the terminals of an ideal battery having a constant voltage V0 across its terminals, 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 across the terminals of the battery (the right ends of both wires attached to one terminal, and the left ends attached to the other terminal), how much current would the battery put out?

Accepted Answer

A) 4I 
B) 2I 
C) I 
D) I/2 
E) I/4 
A) 4I 
B) 2I 
C) I 
D) I/2 
E) I/4

Question 20

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

Exam 23: Circuits

A 2.0-μF capacitor that is initially uncharged is charged through a 50-kΩ resistor. How long does it take for the capacitor to reach 90% of its full charge?

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.

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

A 3.0-Ω resistor is connected in parallel with a 6.0-Ω resistor. This combination is then connected in series with a 4.0-Ω resistor. The resistors are connected across an ideal 12-volt battery. How much power is dissipated in the 3.0-Ω resistor?

A 8.0-μF uncharged capacitor is connected in series with a 6.0-kΩ resistor, an ideal 20-V dc source, and an open switch. If the switch is closed at time t = 0.0 s, what is the charge on the capacitor at t = 9.0 ms?

When unequal resistors are connected in series across an ideal battery,

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?

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?

For the circuit shown in the figure, what is the power dissipated in the 2.0-Ω resistor? All the numbers shown are accurate to three significant figures.

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 4.0-Ω resistor is connected to a 12-Ω resistor and this combination is connected to 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 value of voltage V?

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?

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?

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?

Determine the current in the 7.0-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.

When unequal resistors are connected in parallel in a circuit,

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 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.)

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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 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.)