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Determine the rms voltage drop across the resistor in the circuit. Determine the rms voltage drop across the resistor in the circuit.   A) 55 V B) 77 V C) 9.9 V D) 5.5 V E) 61 V


A) 55 V
B) 77 V
C) 9.9 V
D) 5.5 V
E) 61 V

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

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A

An alternating current circuit has resistance R, inductance L, and capacitance C in series with a voltage source. Which statement is correct?


A) The voltage across the capacitor leads the voltage across the inductor by 90°.
B) The voltage across the inductor leads the voltage across the capacitor by 90°.
C) The voltage across the inductor leads the voltage across the resistor by 180°.
D) The voltage across the inductor is out of phase with the voltage across the capacitor by 180°.
E) Both voltages lead the voltage across the resistor by 90°.

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

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Calculate Vout/Vin for the circuit if R = 2.0 kΩ, C = 0.020 μF and V = 140 V sin(50,000t) . ​ Calculate Vout/Vin for the circuit if R = 2.0 kΩ, C = 0.020 μF and V = 140 V sin(50,000t) . ​   ​ A) 0.02 B) 0.45 C) 0.80 D) 0.98 E) 2.2


A) 0.02
B) 0.45
C) 0.80
D) 0.98
E) 2.2

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

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Suppose the circuit parameters in a series RLC circuit are: L = 1.00 μH, C = 10.0 nF, R = 100 Ω, and the source voltage is 220 V. Determine the resonant frequency of the circuit and the amplitude of the current at resonance.

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A series LC circuit contains a 100-mH inductor, a 36.0-mF capacitor and a 12-V battery. The period of the electromagnetic oscillations in the circuit is


A) 0.0227 s.
B) 0.377 s.
C) 2.26 s.
D) 105 s.
E) 1750 s.

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

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What is the average power dissipation in an RLC series circuit with R = 10 Ω, L = 0.1 H, C = 10 μF when driven at resonance by a 100 V rms source?


A) 100 W
B) 500 W
C) 1000 W
D) 2 kW
E) 700 W

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

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A 0.500-H inductor is connected into a 110 V rms 60.0-Hz voltage source, with an ammeter in series. What is the rms value of the current through the inductor?


A) 0.189 A (rms)
B) 0.292 A (rms)
C) 0.584 A (rms)
D) 1.19 A (rms)
E) 0.093 A (rms)

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

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A 60.0-Hz AC generator with a peak voltage of 110 V drives a series RC circuit with R = 10.0 Ω and C = 300 μF. The power factor, cos φ, is


A) −1.00.
B) −0.749.
C) +0.749.
D) +0.834.
E) +1.00.

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

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For driving voltage For driving voltage   , the current through the resistor is ​ ​   ​ A)    . B)    . C)    . D)    . E)   , the current through the resistor is ​ ​ For driving voltage   , the current through the resistor is ​ ​   ​ A)    . B)    . C)    . D)    . E)


A) For driving voltage   , the current through the resistor is ​ ​   ​ A)    . B)    . C)    . D)    . E)   .
B) For driving voltage   , the current through the resistor is ​ ​   ​ A)    . B)    . C)    . D)    . E)   .
C) For driving voltage   , the current through the resistor is ​ ​   ​ A)    . B)    . C)    . D)    . E)   .
D) For driving voltage   , the current through the resistor is ​ ​   ​ A)    . B)    . C)    . D)    . E)   .
E) For driving voltage   , the current through the resistor is ​ ​   ​ A)    . B)    . C)    . D)    . E)

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

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E

There is no current in the circuit shown in the figure below until the switch is closed. The current through the 20-Ω resistor the instant after the switch is closed is either [1] 15 A or [2] 5.0 A, and the current through the 20-Ω resistor after the switch has been closed a long time is either [3] 5.0 A or [4] 15 A. Which combination of the above choices is correct? There is no current in the circuit shown in the figure below until the switch is closed. The current through the 20-Ω resistor the instant after the switch is closed is either [1] 15 A or [2] 5.0 A, and the current through the 20-Ω resistor after the switch has been closed a long time is either [3] 5.0 A or [4] 15 A. Which combination of the above choices is correct?   A) [1] and [3] B) [1] and [4] C) [2] and [3] D) [2] and [4] E) None of these


A) [1] and [3]
B) [1] and [4]
C) [2] and [3]
D) [2] and [4]
E) None of these

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

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A transformer is to be designed to increase the 30 kV rms output of a generator to the transmission-line voltage of 345 kV rms. If the primary winding has 80 turns, how many turns must the secondary have?


A) 6
B) 70
C) 920
D) 9200
E) 12

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

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After a switch is thrown to remove the battery from a DC LR circuit, but the circuit is still left complete, the time constant represents


A) the time rate of change of the current in the circuit.
B) the time rate of change of the induced emf in the circuit.
C) the magnitude of the ratio of the current to the time rate of change of the current.
D) all of the above.
E) only (a) and (b) above.

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

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A 60.0-Hz AC generator with a peak voltage of 110 V drives a series RL circuit with R = 10.0 Ω and L = 10.0 mH. The impedance is


A) 3.77 Ω.
B) 9.26 Ω.
C) 10.0 Ω.
D) 10.7 Ω.
E) 13.8 Ω.

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

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A circuit contains two inductors of 6.0-mH inductance in series placed in parallel with an inductor of 8.0-mH inductance. After one of the 6.0-mH inductors burns out, the repair person wants to replace all three inductors with one inductor of equivalent inductance. Assuming inductors combine in series and parallel the same way resistors do, what inductance should she use?


A) 3.0 mH
B) 3.4 mH
C) 4.8 mH
D) 11 mH
E) 20 mH

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

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The voltage 8.00 sin (400t) is applied to a series RLC circuit, with R = 200 Ω, L = 0.100 H, and C = 1.00 μF. What are the impedance Z and the phase angle θ?


A) 200 Ω, −37.0°
B) 566 Ω, +87.0°
C) 2470 Ω, −85.4°
D) 2540 Ω, −88.8°
E) 393 Ω, −63.0°

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

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A series LC circuit contains a 100-mH inductor, a 36.0-mF capacitor and a 12-V battery. The frequency of the electromagnetic oscillations in the circuit is


A) 5.73 × 10−4 Hz.
B) 9.55 × 10−3 Hz.
C) 0.442 Hz.
D) 2.65 Hz.
E) 44.0 Hz.

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

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At what frequency will a 12-μF capacitor have a reactance XC = 300 Ω?


A) 44 Hz
B) 88 Hz
C) 180 Hz
D) 350 Hz
E) 280 Hz

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

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A 2.0-μF capacitor in series with a 2.0-kΩ resistor is connected to a 60-Hz AC source. Calculate the impedance of the circuit.


A) 1500 ohms
B) 1800 ohms
C) 2100 ohms
D) 2400 ohms
E) 8600 ohms

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

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Which of the following are the units of a henry and a farad, respectively?


A) J ⋅ s2/C2 and C2/J
B) V ⋅ s/A and V/C
C) V/(A ⋅ s) and C/V
D) N ⋅ m/A2 and 1/J
E) None of the above

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

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A

Whenever the alternating current frequency in a series RLC circuit is halved,


A) the inductive reactance is doubled and the capacitive reactance is halved.
B) the inductive reactance is doubled and the capacitive reactance is doubled.
C) the inductive reactance is halved and the capacitive reactance is halved.
D) the inductive reactance is halved and the capacitive reactance is doubled.
E) the reactance of the circuit remains the same.

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

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