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A variable inductor is connected to an ac source. What effect does increasing the inductance have on the reactance and current in this circuit? A variable inductor is connected to an ac source. What effect does increasing the inductance have on the reactance and current in this circuit?   A)    B)    C)    D)    E)


A) A variable inductor is connected to an ac source. What effect does increasing the inductance have on the reactance and current in this circuit?   A)    B)    C)    D)    E)
B) A variable inductor is connected to an ac source. What effect does increasing the inductance have on the reactance and current in this circuit?   A)    B)    C)    D)    E)
C) A variable inductor is connected to an ac source. What effect does increasing the inductance have on the reactance and current in this circuit?   A)    B)    C)    D)    E)
D) A variable inductor is connected to an ac source. What effect does increasing the inductance have on the reactance and current in this circuit?   A)    B)    C)    D)    E)
E) A variable inductor is connected to an ac source. What effect does increasing the inductance have on the reactance and current in this circuit?   A)    B)    C)    D)    E)

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

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The graph shows the impedance as a function of frequency for a series RCL circuit. At what frequency does the capacitor make the largest contribution? The graph shows the impedance as a function of frequency for a series RCL circuit. At what frequency does the capacitor make the largest contribution?   A) f<sub>1</sub> B) f<sub>2</sub> C) f<sub>3</sub> D) f<sub>1</sub> or f<sub>3</sub> E) f<sub>1</sub> or f<sub>2</sub> or f<sub>3</sub>


A) f1
B) f2
C) f3
D) f1 or f3
E) f1 or f2 or f3

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

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Use the information given in the figure for the series RCL circuit to determine the phase angle between the current and the voltage. Use the information given in the figure for the series RCL circuit to determine the phase angle between the current and the voltage.   A) zero degrees B) +5.3° C) -9.6° D) -84° E) +90°


A) zero degrees
B) +5.3°
C) -9.6°
D) -84°
E) +90°

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

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Use the information given in the figure for the series RCL circuit to determine its total impedance.  Use the information given in the figure for the series RCL circuit to determine its total impedance.   A) 300  \varOmega  B) 500  \varOmega  C) 1500  \varOmega  D) 1700  \varOmega  E) 1900  \varOmega


A) 300 Ω\varOmega
B) 500 Ω\varOmega
C) 1500 Ω\varOmega
D) 1700 Ω\varOmega
E) 1900 Ω\varOmega

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

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Two series RCL circuits have the same resonant frequency. Circuit A has an inductance of 0.55 H and circuit B has an inductance of 0.15 H. Determine the ratio of the capacitances of the circuits, CA/CB.


A) 0.44
B) 0.27
C) 3.7
D) 1.8
E) 2.4

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

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For which one of the following circuit arrangements will the power factor be non-zero?


A) a capacitor in series with an ac generator
B) an inductor in series with an ac generator
C) two capacitors in series with an ac generator
D) a capacitor and resistor in series with an ac generator
E) a capacitor and inductor in series with an ac generator

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

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Which one of the following statements concerning an ac circuit is true?


A) The current and voltage are in phase for a capacitor in an ac circuit.
B) On average, the power dissipated by a resistor in an ac circuit is zero.
C) For a resistor in an ac circuit, the current and voltage are 90° out of phase.
D) Inductors in an ac circuit offer little opposition to current at high frequencies.
E) When only resistance is present in an ac circuit, voltage and current are in phase.

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

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In an ac circuit, a 0.055-H inductor is connected to a generator that has an rms voltage of 18 V and operates at 50.0 Hz. What is the rms current through the inductor?


A) 0.62 A
B) 2.0 A
C) 3.2 A
D) 1.0 A
E) 14 A

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

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An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-µF capacitor and a 300- Ω\varOmega resistor. -What is the peak (not rms) voltage across the capacitor?


A) 120 V
B) 180 V
C) 190 V
D) 210 V
E) 290 V

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

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An ac generator supplies a peak (not rms) voltage of 120.0 V at 60.0 Hz. It is connected in series with a 50.0- Ω\varOmega resistor and a 0.500-H inductor. -What is the average power dissipated in the circuit?


A) 9.50 W
B) 21.2 W
C) 74.9 W
D) 113 W
E) 138 W

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

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An oscillating LC circuit has a resonant frequency of 1.2 × 106 Hz. The diagram shows the system at t = 0 s when there is no charge on the capacitor and the current is in the direction shown. At this time, the energy stored in the inductor is 2.5 × 10-7 J. An oscillating LC circuit has a resonant frequency of 1.2 × 10<sup>6 </sup>Hz. The diagram shows the system at t = 0 s when there is no charge on the capacitor and the current is in the direction shown. At this time, the energy stored in the inductor is 2.5 × 10<sup>-</sup><sup>7 </sup>J.   -Determine the value of the current at the instant shown in the drawing. A) 0.02 A B) 0.03 A C) 0.05 A D) 0.09 A E) 0.12 A -Determine the value of the current at the instant shown in the drawing.


A) 0.02 A
B) 0.03 A
C) 0.05 A
D) 0.09 A
E) 0.12 A

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

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Two 250-µF capacitors and a 1.5-mH inductor are connected as shown in the figure. It is desired to "drive" the circuit by placing an ac generator in series with the inductor. Which one of the following generator output voltages will produce the largest current in the above circuit? Assume that V is in volts when t is in seconds. Two 250-µF capacitors and a 1.5-mH inductor are connected as shown in the figure. It is desired to  drive  the circuit by placing an ac generator in series with the inductor. Which one of the following generator output voltages will produce the largest current in the above circuit? Assume that V is in volts when t is in seconds.   A) V = 0.6 sin[(1.1 × 10<sup>6 </sup>rad/s) t] B) V = 0.6 sin[(1.2 × 10<sup>3 </sup>rad/s) t] C) V = 1.2 sin[(5.3 × 10<sup>6 </sup>rad/s) t] D) V = 1.2 sin[(2.3 × 10<sup>5 </sup>rad/s) t] E) V = 2.8 sin[(4.6 × 10<sup>6 </sup>rad/s) t]


A) V = 0.6 sin[(1.1 × 106 rad/s) t]
B) V = 0.6 sin[(1.2 × 103 rad/s) t]
C) V = 1.2 sin[(5.3 × 106 rad/s) t]
D) V = 1.2 sin[(2.3 × 105 rad/s) t]
E) V = 2.8 sin[(4.6 × 106 rad/s) t]

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

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An ac generator is connected across the terminals of a 3.25-µF capacitor. Determine the frequency at which the capacitive reactance is 375 Ω\varOmega .


A) 60.0 Hz
B) 72.4 Hz
C) 85.7 Hz
D) 98.9 Hz
E) 131 Hz

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

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An oscillating LC circuit has a resonant frequency of 1.2 × 106 Hz. The diagram shows the system at t = 0 s when there is no charge on the capacitor and the current is in the direction shown. At this time, the energy stored in the inductor is 2.5 × 10-7 J. An oscillating LC circuit has a resonant frequency of 1.2 × 10<sup>6 </sup>Hz. The diagram shows the system at t = 0 s when there is no charge on the capacitor and the current is in the direction shown. At this time, the energy stored in the inductor is 2.5 × 10<sup>-</sup><sup>7 </sup>J.   -Determine the numerical value of the capacitance. A) 2.4 × 10<sup>-</sup><sup>11</sup> F B) 3.6 × 10<sup>-</sup><sup>11</sup> F C) 4.4 × 10<sup>-</sup><sup>11</sup> F D) 6.8 × 10<sup>-</sup><sup>11</sup> F E) 8.8 × 10<sup>-</sup><sup>11</sup> F -Determine the numerical value of the capacitance.


A) 2.4 × 10-11 F
B) 3.6 × 10-11 F
C) 4.4 × 10-11 F
D) 6.8 × 10-11 F
E) 8.8 × 10-11 F

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

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What is the inductance of the inductor in a series RCL circuit with a resonant frequency of 640 Hz if the only other element in the circuit is a 1.2-µF capacitor?


A) 52 mH
B) 74 mH
C) 0.12 H
D) 2.1 H
E) 13 H

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

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Which circuit elements act to oppose changes in the current in an ac circuit?


A) resistors only
B) capacitors only
C) inductors only
D) both resistors and inductors
E) both capacitors and resistors

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

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Which one of the following graphs shows how the inductive reactance varies with frequency? Which one of the following graphs shows how the inductive reactance varies with frequency?   A) a B) b C) c D) d E) e


A) a
B) b
C) c
D) d
E) e

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

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The following table gives the reactance and rms voltage across the elements of a series RCL circuit: The following table gives the reactance and rms voltage across the elements of a series RCL circuit:   -Determine the peak (not rms)  voltage of the ac generator. A) 150 V B) 212 V C) 300 V D) 414 V E) 533 V -Determine the peak (not rms) voltage of the ac generator.


A) 150 V
B) 212 V
C) 300 V
D) 414 V
E) 533 V

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

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A variable capacitor is connected to an ac source. What effect does decreasing the capacitance have on the reactance and current in this circuit? A variable capacitor is connected to an ac source. What effect does decreasing the capacitance have on the reactance and current in this circuit?   A)    B)    C)    D)    E)


A) A variable capacitor is connected to an ac source. What effect does decreasing the capacitance have on the reactance and current in this circuit?   A)    B)    C)    D)    E)
B) A variable capacitor is connected to an ac source. What effect does decreasing the capacitance have on the reactance and current in this circuit?   A)    B)    C)    D)    E)
C) A variable capacitor is connected to an ac source. What effect does decreasing the capacitance have on the reactance and current in this circuit?   A)    B)    C)    D)    E)
D) A variable capacitor is connected to an ac source. What effect does decreasing the capacitance have on the reactance and current in this circuit?   A)    B)    C)    D)    E)
E) A variable capacitor is connected to an ac source. What effect does decreasing the capacitance have on the reactance and current in this circuit?   A)    B)    C)    D)    E)

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

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An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-µF capacitor and a 300- Ω\varOmega resistor. -Determine the peak voltage of the generator.


A) 180 V
B) 255 V
C) 300 V
D) 360 V
E) 480 V

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

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