Exam 23: Circuits

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A 5.0-μF capacitor and a 7.0-μF capacitor are connected in series across an 8.0-V potential source. What is the potential difference across the 5.0-μF capacitor?

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For the circuit shown in the figure, both batteries are ideal. What current flows in the solid wire connecting the upper left and lower left corners of the circuit? For the circuit shown in the figure, both batteries are ideal. What current flows in the solid wire connecting the upper left and lower left corners of the circuit?

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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?

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Four resistors are connected across an ideal dc battery with voltage V, as shown in the figure. If the total current in this circuit is I = 1 A, what is the value of the voltage V? Four resistors are connected across an ideal dc battery with voltage V, as shown in the figure. If the total current in this circuit is I = 1 A, what is the value of the voltage V?

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A resistor with a resistance of 360 ? 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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The network shown is assembled with uncharged capacitors X , Y, and Z, with CX=4.0μFC _ { X } = 4.0 \mu \mathrm { F } \text {, } CY=3.0μF\mathrm { C } _ { \mathrm { Y } } = 3.0 \mu \mathrm { F } and CZ=5.0μFC _ { Z } = 5.0 \mu \mathrm { 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 energy is finally stored in capacitor X?  The network shown is assembled with uncharged capacitors X , Y, and Z, with  C _ { X } = 4.0 \mu \mathrm { F } \text {, }   \mathrm { C } _ { \mathrm { Y } } = 3.0 \mu \mathrm { F }  and  C _ { Z } = 5.0 \mu \mathrm { 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 energy is finally stored in capacitor X?

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When two or more different capacitors are connected in parallel across a potential source (battery), which of the following statements must be true? (There could be more than one correct choice.)

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Three capacitors of capacitance 5.00 ?F, 10.0 ?F, and 50.0 ?F are connected in series across a 12.0-V potential difference (a battery). (a)How much charge is stored in the 5.00-?F capacitor? (b)What is the potential difference across the 10.0-µF capacitor?

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In the circuit shown in the figure, R1 = 60 Ω, R2 = 120 Ω, R3 = 180 Ω, V1 = 3.0 V, V2 = 6.0 V, and the batteries are both ideal. What is the current through R1? In the circuit shown in the figure, R<sub>1</sub> = 60 Ω, R<sub>2</sub> = 120 Ω, R<sub>3</sub> = 180 Ω, V<sub>1</sub> = 3.0 V, V<sub>2</sub> = 6.0 V, and the batteries are both ideal. What is the current through R<sub>1</sub>?

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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.)

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A 4.0-µF capacitor and an 8.0-µF capacitor are connected together. What is the equivalent capacitance of the combination if they are connected (a)in series or (b)in parallel?

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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?

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Kirchhoff's junction rule is a statement of

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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?

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Kirchhoff's loop rule is a statement of

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Identical ideal batteries are connected in different arrangements to the same light bulb, as shown in the figure. For which arrangement will the bulb shine the brightest? Identical ideal batteries are connected in different arrangements to the same light bulb, as shown in the figure. For which arrangement will the bulb shine the brightest?

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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.

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A 2.0-μF capacitor is charged to 12 V and then discharged through a 4.0-MΩ resistor. How long will it take for the voltage across the capacitor to drop to 3.0 V?

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Four resistors having resistances of 20 Ω, 40 Ω, 60 Ω, and 80 Ω are connected in series across an ideal dc voltage source. If the current through this circuit is 0.50 A, what is the voltage of the voltage source?

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For the circuit shown in the figure, write the Kirchhoff current equation for the node labeled A. Notice the directions of the currents! For the circuit shown in the figure, write the Kirchhoff current equation for the node labeled A. Notice the directions of the currents!

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