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Determine the current in the 18-Ω resistor for the circuit shown in the figure assuming that the batteries are ideal. Determine the current in the 18-Ω resistor for the circuit shown in the figure assuming that the batteries are ideal.   A)  0.25 A B)  0.50 A C)  0.75 A D)  1.0 A


A) 0.25 A
B) 0.50 A
C) 0.75 A
D) 1.0 A

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

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A 2.0-μF capacitor and a 4.0-μF capacitor are connected in series across an 8.0-V potential source. What is the charge on the 2.0-μF capacitor?


A) 2.0 μC
B) 4.0 μC
C) 12 μC
D) 11 μC
E) 25 μC

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

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A multiloop circuit is shown in the figure, but some quantities are not labeled. Find the emf ε 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 emf ε if the batteries are ideal. (It is not necessary to solve the entire circuit.)    A)  +3 V B)  +19 V C)  -3 V D)  -10 V E)  -19 V


A) +3 V
B) +19 V
C) -3 V
D) -10 V
E) -19 V

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

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Three resistors with resistances of 2.0 Ω, 6.0 Ω, and 12 Ω are connected across an ideal dc voltage source V = 2.0 V, as shown in the figure. What is the total current I in this circuit? Three resistors with resistances of 2.0 Ω, 6.0 Ω, and 12 Ω are connected across an ideal dc voltage source V = 2.0 V, as shown in the figure. What is the total current I in this circuit?   A)  0.70 A B)  1.5 A C)  2.0 A D)  3.0 A E)  6.0 A


A) 0.70 A
B) 1.5 A
C) 2.0 A
D) 3.0 A
E) 6.0 A

F) B) and E)
G) A) and E)

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For the circuit shown in the figure, the ideal battery has an emf ε = 80 V. The four resistors have resistances of R1 = 14 Ω\Omega R2= 21 Ω\Omega R3 = 21 Ω\Omega and R4 = 14 Ω\Omega Calculate the rate at which heat is being generated in the resistor R4.  For the circuit shown in the figure, the ideal battery has an emf ε = 80 V. The four resistors have resistances of R<sub>1</sub> = 14  \Omega  R<sub>2</sub>= 21  \Omega  R<sub>3</sub> = 21  \Omega  and R<sub>4</sub> = 14  \Omega  Calculate the rate at which heat is being generated in the resistor R<sub>4</sub>.

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A 1.0-µF capacitor and a 2.0-µF capacitor are connected together, and then that combination is connected across a 3.0-V potential source (a battery). What is the potential difference across the 2.0-µF capacitor if the capacitors are connected (a) in series or (b) in parallel?

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(a) 1.0 V ...

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A resistor with a resistance of 360 Ω is in a series circuit with a capacitor of capacitance 7.3 × 10-6 F. What capacitance must be placed in parallel with the original capacitance to change the capacitive time constant of the combination to three times its original value?

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Suppose you have two capacitors and want to use them to store the maximum amount of energy by connecting them across a voltage source. You should connect them


A) in series across the source.
B) in parallel across the source.
C) It doesn't matter because the stored energy is the same either way.

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

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Determine the current in the 4.0-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. Determine the current in the 4.0-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)  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

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

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Four resistors are connected across an ideal dc battery with voltage V as shown in the figure. Assume that all quantities shown are accurate to two significant figures. If the total current through this circuit is I = 2.0 A, what is the current through the 4.0-Ω resistor? Four resistors are connected across an ideal dc battery with voltage V as shown in the figure. Assume that all quantities shown are accurate to two significant figures. If the total current through this circuit is I = 2.0 A, what is the current through the 4.0-Ω resistor?   A)  1.0 A B)  2.0 A C)  3.0 A D)  1.3 A E)  2.4 A


A) 1.0 A
B) 2.0 A
C) 3.0 A
D) 1.3 A
E) 2.4 A

F) B) and E)
G) A) and E)

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A multiloop circuit is shown in the figure. 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. Find the current I<sub>1</sub> if the batteries are ideal. (It is not necessary to solve the entire circuit.)    A)  -2 A B)  2 A C)  6 A D)  -5 A E)  0 A


A) -2 A
B) 2 A
C) 6 A
D) -5 A
E) 0 A

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

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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 charge Q on the capacitor 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 charge Q on the capacitor 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 charge Q on the capacitor 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 charge Q on the capacitor 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 charge Q on the capacitor 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 charge Q on the capacitor as a function of time t?  A)    B)    C)    D)    E)

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

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A resistor, an uncharged capacitor, a dc voltage source, and an open switch are all connected in series. The switch is closed at time t = 0 s. Which one of the following is a correct statement about the circuit?


A) The capacitor charges to its maximum value in one time constant.
B) The capacitor charges to its maximum value in two time constants.
C) The potential difference across the resistor is always equal to the potential difference across the capacitor.
D) Current flows through the circuit even after the capacitor is essentially fully charged.
E) Once the capacitor is essentially fully charged, there is no current in the circuit.

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

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Three resistors of 12 Ω, 12 Ω, and 6.0 Ω are connected together, and an ideal 12-V battery is connected across the combination. What is the current from the battery if they are connected (a) in series or (b) in parallel?

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(a) 0.40 A...

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A network of capacitors is mostly inside a sealed box, but one capacitor CX is sticking out, as shown in the figure. When you connect a multimeter across points a and b, it reads 27.0 µF. What is CX? A network of capacitors is mostly inside a sealed box, but one capacitor C<sub>X</sub> is sticking out, as shown in the figure. When you connect a multimeter across points a and b, it reads 27.0 µF. What is C<sub>X</sub>?   A)  27.0 µF B)  23.0 µF C)  4.0 µF D)  2.4 µF E)  2.2 µF


A) 27.0 µF
B) 23.0 µF
C) 4.0 µF
D) 2.4 µF
E) 2.2 µF

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

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The network shown is assembled with uncharged capacitors X , Y, and Z, with CX=3.0 μ\mu F, CY=5.0 μ\mu F and CZ=1.0 μ\mu F The switches S1 and S2 are initially open, and a potential difference Vab = 120 V is applied between points a and b. After the network is assembled, switch S1 is then closed, but switch S2 is kept open. How much charge is finally stored in capacitor Y?  The network shown is assembled with uncharged capacitors X , Y, and Z, with  C<sub>X</sub>=3.0  \mu F, C<sub>Y</sub>=5.0 \mu F and C<sub>Z</sub>=1.0  \mu F  The switches S<sub>1</sub> and S<sub>2</sub> are initially open, and a potential difference V<sub>ab</sub> = 120 V is applied between points a and b. After the network is assembled, switch S<sub>1</sub> is then closed, but switch S<sub>2</sub> is kept open. How much charge is finally stored in capacitor Y?   A)  110 µC B)  54 µC C)  81 µC D)  140 µC E)  160 µC


A) 110 µC
B) 54 µC
C) 81 µC
D) 140 µC
E) 160 µC

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

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The capacitive network shown in the figure is assembled with initially uncharged capacitors. Assume that all the quantities in the figure are accurate to two significant figures. The switch S in the network is kept open throughout. What is the total energy stored in the seven capacitors? The capacitive network shown in the figure is assembled with initially uncharged capacitors. Assume that all the quantities in the figure are accurate to two significant figures. The switch S in the network is kept open throughout. What is the total energy stored in the seven capacitors?   A)  48 mJ B)  72 mJ C)  96 mJ D)  120 mJ E)  144 mJ


A) 48 mJ
B) 72 mJ
C) 96 mJ
D) 120 mJ
E) 144 mJ

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

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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 charge on the 4.0-µF capacitor? (b) What is the charge on the 2.0-µF capacitor? A system of four capacitors is connected across a 90-V voltage source as shown in the figure. (a) What is the charge on the 4.0-µF capacitor? (b) What is the charge on the 2.0-µF capacitor?

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(a) 120 µC...

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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.) A multiloop circuit is shown in the figure, but some quantities are not labeled. Find the current I<sub>2</sub> if the batteries are ideal. (It is not necessary to solve the entire circuit.)    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

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

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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. 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)  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

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

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