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Three capacitors are arranged as shown in the figure, with a voltage source connected across the combination. C1 has a capacitance of 9.0pF9.0 \mathrm { pF } C2C _ { 2 } has a capacitance of 18.0pF, 18.0 \mathrm { pF } \text {, } and C3C _ { 3 } has a capacitance of 27.0pF27.0 \mathrm { pF } Find the potential drop across the entire arrangement if the potential drop across C2 is 257.0 V257.0 \mathrm {~V} Three capacitors are arranged as shown in the figure, with a voltage source connected across the combination. C<sub>1</sub> 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 C<sub>2</sub> is 257.0 \mathrm {~V} A) 1500 V B) 1000 V C) 470 V D) 430 V


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

E) B) and C)
F) A) and C)

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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?


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

F) A) and B)
G) A) and C)

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In the circuit shown in the figure, the resistor R has a variable resistance. As R is decreased, what happens to the currents? In the circuit shown in the figure, the resistor R has a variable resistance. As R is decreased, what happens to the currents? A) I<sub>1</sub> remains unchanged and I<sub>2</sub> increases. B) I<sub>1</sub> decreases and I<sub>2</sub> decreases. C) I<sub>1</sub> decreases and I<sub>2</sub> increases. D) I<sub>1</sub> increases and I<sub>2</sub> decreases. E) I<sub>1</sub> increases and I<sub>2</sub> 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.

F) C) and E)
G) All of the above

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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 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) 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

F) None of the above
G) C) and E)

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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.) A multiloop circuit is shown in the figure, but some quantities are not labeled. Find the current I<sub>1</sub> if the batteries are ideal. (It is not necessary to solve the entire circuit.) 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

F) B) and C)
G) D) and E)

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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. 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) 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

E) A) and D)
F) B) and C)

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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. Find the emf ε<sub>1</sub> if the batteries are ideal. (It is not necessary to solve the entire circuit.) 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

F) A) and D)
G) C) and D)

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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?

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(a) 0.83 A...

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


A) 950 Ω
B) 450 Ω
C) 392 Ω
D) 257 Ω

E) B) and C)
F) A) and B)

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

E) A) and C)
F) None of the above

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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. For the circuit shown in the figure, calculate the emf's ε<sub>1</sub> and ε<sub>3</sub>, assuming that the batteries are ideal. Note that two currents are shown.

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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?


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

E) None of the above
F) B) and D)

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

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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 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?

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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?

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(a) 4.0 µF...

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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. 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.

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(a) 2.50 A...

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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?


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

E) B) and D)
F) B) and C)

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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?


A) 1.2 Ω
B) 5.0 Ω
C) 7.0 Ω
D) 11 Ω

E) C) and D)
F) B) and D)

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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? 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? 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

F) D) and E)
G) None of the above

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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?

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(a) 0.83 A in each; 120 V for ...

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