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An LR circuit includes a resistor of resistance R, an inductor of inductance L and a battery of emf E = 10 V. At time t = 0 the current in the circuit is I = 0. At time t = 6.1 ms the current is I = 0.66 A. What are the values of L and R?


A) not enough information given
B) L = 15 mH, R = 20 Ω
C) L = 10 mH, R = 100 Ω
D) L = 50 mH, R = 150 Ω
E) L = 2 mH, R = 10 Ω

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

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An LRC circuit has R = 15 Ω, L = 25 mH, and C = 30 μF. The circuit is connected to a 120 V (rms) source with frequency 200 Hz. (a) What is the average power dissipated by the circuit? (b) What is the power factor for the circuit?

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A resistor is connected to an ac power supply. On this circuit, the current


A) leads the voltage by 90°.
B) lags the voltage by 90°.
C) is in phase with the voltage.
D) leads the voltage by 45°.
E) lags the voltage by 45°.

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

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Starting from zero, the electric current takes 2 seconds to reach half its maximum possible value in an RL circuit with a resistance R, an inductance L and a battery of emf E. How long will the current take to reach 75% its maximum value (measured from the moment when I = 0) ?


A) 8 s
B) 4 s
C) 10 s
D) 1 s
E) 2 s

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

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An electric circuit consists of a resistor connected across the terminals of an ac generator. How does the power dissipated in the resistor change as the frequency in the generator decreases?


A) It decreases.
B) It increases.
C) It does not change.
D) It increases or decreases depending on the sign of the phase angle.

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

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A series LRC circuit has a 100-Ω resistor, a 0.100-μF capacitor and a 2.00-mH inductor connected across a 120-V rms ac voltage source operating at (1000/π) Hz. What is the resonant frequency of this circuit?


A) 70.7 kHz
B) 17.9 kHz
C) 22.5 kHz
D) 35.3 kHz
E) 11.3 kHz

F) A) and E)
G) A) and D)

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In a LRC circuit, a second capacitor is connected in parallel with the capacitor previously in the circuit. What is the effect of this change on the impedance of the circuit?


A) It increases.
B) It decreases.
C) It does not change.
D) It increases for frequencies below resonance and decreases for frequencies above resonance.
E) It decreases for frequencies below resonance and increases for frequencies above resonance.

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

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A wire of diameter d = 1 mm is wrapped around a cylindrical core of radius R = 5 cm and length l = 30 cm to build a solenoid. What is the energy stored in this solenoid when a current I = 0.2 A passes through it?


A) 1.2 × 10-4 J
B) 9.6 × 10-4 J
C) 4.8 × 10-4 J
D) 2.4 × 10-4 J
E) 0.6 × 10-4 J

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

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What is the inductive reactance of a 20-mH inductor at a frequency of 60 Hz?


A) 7.5 Ω
B) 0.13 Ω
C) 1.2 Ω
D) 1.2 mΩ
E) 7.5 mΩ

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

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A series LR circuit consists of a 2.0-H inductor with negligible internal resistance, a 100-ohm resistor, a switch, and a 9.0-V power source. After the switch is closed, what is the maximum power delivered by the power supply?


A) 0.40 W
B) 81 W
C) 0.090 W
D) 8.1 W
E) 0.81 W

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

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If the ac peak current through a 100 ohm resistor is 1.7 A, the peak voltage across this resistor is


A) 289 V.
B) 110 V.
C) 170 V.
D) 210 V.
E) 120 V.

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

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Starting from zero, an electric current is established in a circuit made of a battery of emf E, a resistor of resistance R and an inductor of inductance L. The electric current eventually reaches its steady-state value. What would be the effect of using an inductor with a larger inductance in this circuit?


A) The steady-state value of the current would be larger, but it would take the same amount of time to reach it.
B) The steady-state value of the current would be the same, but it would take more time to reach it.
C) The steady-state value of the current would be the same, but it would take the same amount of time to reach it.
D) The steady-state value of the current would be larger, but it would take more time to reach it.
E) The steady-state value of the current would be the same, but it would take less time to reach it.

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

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What is the inductance of a solenoid 300 cm long, with 10.0 turns of wire and a cross-sectional area of 1.00 × 10-4 m2?


A) 4.19 nH
B) 4.19 pH
C) 4.19 μH
D) 4.19 mH
E) 4.19 fH

F) A) and B)
G) All of the above

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The energy stored in the earth's magnetic field with a strength of 0.5 × 10-4 T in a room 3.0 m by 4.0 m by 2.4 m is


A) 570 mJ.
B) 29 mJ
C) 10 mJ.
D) 100 mJ.
E) zero.

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

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A 120-V rms voltage at 60.0 Hz is applied across an inductor, a capacitor, and a resistor in series. If the rms value of the current in this circuit is 0.600 A, what is the impedance of this circuit?


A) 200 Ω
B) 141 Ω
C) 20.4 Ω
D) 120 Ω
E) 100 Ω

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

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What is the average power dissipated by a resistor of resistance R = 25 Ω in an LRC circuit for which the power factor is equal to 0.25 and the maximum voltage of the AC source is 8 V?


A) 0.04 W
B) 0.32 W
C) 0.16 W
D) 0.62 W
E) 0.08 W

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

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If the ac peak current through a 100 ohm resistor is 1.7 A, the average power dissipated by the resistance is


A) 85 W.
B) 170 W.
C) 289 W.
D) 220 W.
E) 145 W.

F) A) and B)
G) All of the above

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In a LRC circuit, a second capacitor is connected in series with the capacitor previously in the circuit. What is the effect of this change on the impedance of the circuit?


A) It increases.
B) It decreases.
C) It does not change.
D) It increases for frequencies below resonance and decreases for frequencies above resonance.
E) It decreases for frequencies below resonance and increases for frequencies above resonance.

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

Correct Answer

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A pure capacitor is connected to an ac power supply. In this circuit, the current


A) leads the voltage by 90°.
B) lags the voltage by 90°.
C) lags the voltage by 180°.
D) is in phase with the voltage.
E) none of the given answers

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

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The phase angle of an LRC series circuit with an inductive reactance of 200 Ω and a capacitive reactance of 100 Ω is 40.0°. What is the value of the resistor in this circuit?


A) 100 Ω
B) 119 Ω
C) 156 Ω
D) 200 Ω
E) 265 Ω

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

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