Question 1

If the voltage amplitude across an 8.50-nF capacitor is equal to 12.0 V when the current amplitude through it is 3.33 mA, the frequency is closest to

Accepted Answer

A)  32.6 MHz. 
B)  5.20 MHz. 
C)  32.6 kHz. 
D)  5.20 kHz. 
E)  32.6 Hz. 
A)  32.6 MHz. 
B)  5.20 MHz. 
C)  32.6 kHz. 
D)  5.20 kHz. 
E)  32.6 Hz.

Question 2

A 120-V rms voltage at 1000 Hz is applied to an inductor, a 2.00-μF capacitor and a 100-Ω resistor, all in series. If the rms value of the current in this circuit is 0.680 A, what is the inductance of the inductor?

Accepted Answer

A)  34.2 mH 
B)  35.8 mH 
C)  11.4 mH 
D)  17.9 mH 
E)  22.8 mH 
A)  34.2 mH 
B)  35.8 mH 
C)  11.4 mH 
D)  17.9 mH 
E)  22.8 mH

Question 3

An ac source having a maximum voltage output of 30 V is connected in series with a 50-Ω resistor, a 0.60-H inductor, and a 20-µF capacitor. What is the maximum charge on the capacitor when the frequency of the source is adjusted so that the circuit is in resonance?

Accepted Answer

A)  1.0 mC 
B)  0.00 mC 
C)  2.1 mC 
D)  4.2 mC 
E)  8.4 mC 
A)  1.0 mC 
B)  0.00 mC 
C)  2.1 mC 
D)  4.2 mC 
E)  8.4 mC

Question 4

The inductor in a radio receiver carries a current of amplitude 200 mA when a voltage of amplitude 2.40 V is across it at a frequency of 1400 kHz. What is the value of the inductance?

Accepted Answer

A)  1.43 µH 
B)  1.36 µH 
C)  9.20 µH 
D)  4.42 µH 
E)  1.97 µH 
A)  1.43 µH 
B)  1.36 µH 
C)  9.20 µH 
D)  4.42 µH 
E)  1.97 µH

Question 5

A series circuit has a resistance of 4.0 Ω, a reactance (due to the capacitance) of 21.0 Ω, and a reactance (due to the inductance) of 17.0 Ω. Find the impedance of the circuit.

Accepted Answer

A)  5.7 Ω 
B)  27 Ω 
C)  8.0 Ω 
D)  42 Ω 
A)  5.7 Ω 
B)  27 Ω 
C)  8.0 Ω 
D)  42 Ω

Question 6

An ac series circuit consists of a voltage source, an 880-Ω resistor, and an inductance L. (There is no capacitance in the circuit.) The current amplitude is 0.60 A, and the phase angle between the source voltage and the current has a magnitude of 41°.
(a) Does the source voltage lag or lead the current?
(b) What is the voltage amplitude of the source?

Accepted Answer

(a) The source volta

Question 7

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

Accepted Answer

The answer of An LRC ac series circuit has R...

Question 8

A series LRC circuit has a sinusoidal voltage supplied to it at   with a peak voltage of   a   resistance, a   capacitor, and a   inductance. What is the peak current for this circuit?

Accepted Answer

A)  3.5 μA 
B)  2.3 μA 
C)  4.2 μA 
D)  6.6 μA 
A)  3.5 μA 
B)  2.3 μA 
C)  4.2 μA 
D)  6.6 μA

Question 9

Which one of the phasor diagrams shown below best represents a series LRC circuit driven at resonance?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  5 
A)  1 
B)  2 
C)  3 
D)  4 
E)  5

Question 10

An alternating current is supplied to an electronic component with a warning that the voltage across it should never exceed   What is the highest rms voltage that can be supplied to this component while staying below the voltage limit in the warning?

Accepted Answer

A)  6   V 
B)  12   V 
C)  144 V 
D)  6 V 
A)  6   V 
B)  12   V 
C)  144 V 
D)  6 V

Question 11

An LRC series circuit has voltage supplied to it at a frequency of 13.0 kHz with a phase difference between the current and the voltage of magnitude 0.20 rad. If the circuit has a capacitance of 5.0 μF and an inductance of 0.050 H find the resistance of the circuit.

Accepted Answer

A)  20 kΩ 
B)  0.99 kΩ 
C)  9.0 kΩ 
D)  0.32 kΩ 
A)  20 kΩ 
B)  0.99 kΩ 
C)  9.0 kΩ 
D)  0.32 kΩ

Question 12

An LRC ac series circuit with R = 15 Ω, L = 25 mH, and C = 30 μF, is attached to a 100-V (rms) ac power supply. The frequency of the power supply is adjusted so that the circuit is in resonance.
(a) What is the rms current in the circuit?
(b) What is the power dissipated by the circuit?

Accepted Answer

The answer of An LRC ac series circuit with R...

Question 13

A 120-V rms voltage at 60.0 Hz is applied across an inductor, a capacitor, and a resistor in series. If the peak current in this circuit is 0.8484 A, what is the impedance of this circuit?

Accepted Answer

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

Question 14

The 60-Hz ac source of a series circuit has a voltage amplitude of 120 V. The resistance, capacitive reactance, and inductive reactance are as shown in the figure. What is the rms current in the circuit?

Accepted Answer

A)  0.097 A 
B)  0.11 A 
C)  0.12 A 
D)  0.14 A 
E)  0.17 A 
A)  0.097 A 
B)  0.11 A 
C)  0.12 A 
D)  0.14 A 
E)  0.17 A

Question 15

A series circuit consists of ac source, a 90-Ω resistor, a 0.80-H inductor, and an 80-μF capacitor. The frequency of the source is adjusted so that the capacitive reactance is equal to twice the inductive reactance. What is the frequency of the source?

Accepted Answer

A)  14 Hz 
B)  13 Hz 
C)  16 Hz 
D)  17 Hz 
E)  19 Hz 
A)  14 Hz 
B)  13 Hz 
C)  16 Hz 
D)  17 Hz 
E)  19 Hz

Question 16

An LRC series circuit consists of an 85.0-Ω resistor, a 14.0-μF capacitor, a 1.50-mH inductor, and a variable frequency ac source of voltage amplitude 13.25 V. At what angular frequency will the inductive reactance be 4.00 times as large as the capacitive reactance?

Accepted Answer

A)  1.38 × 104 rad/s 
B)  6.90 × 103 rad/s 
C)  3.45 × 104 rad/s 
D)  2.20 × 104 rad/s 
E)  1.10 × 104 rad/s 
A)  1.38 × 104 rad/s 
B)  6.90 × 103 rad/s 
C)  3.45 × 104 rad/s 
D)  2.20 × 104 rad/s 
E)  1.10 × 104 rad/s

Question 17

For an RLC ac circuit, the rms current is 10 A. If the impedance is 12 kΩ when the voltage leads the current by 39°, find the average power of the circuit.

Accepted Answer

A)  930 kW 
B)  47 kW 
C)  93 kW 
D)  190 kW 
A)  930 kW 
B)  47 kW 
C)  93 kW 
D)  190 kW

Question 18

The phase angle of an LRC series circuit with a capacitive reactance of 40 Ω, a resistor of 100 Ω and a certain inductor at 1000 Hz is 40.0°. What is the value of the inductance in this circuit?

Accepted Answer

A)  11.8 mH 
B)  124 mH 
C)  212 mH 
D)  61.9 mH 
E)  19.7 mH 
A)  11.8 mH 
B)  124 mH 
C)  212 mH 
D)  61.9 mH 
E)  19.7 mH

Question 19

A series circuit consists of a 50-Hz ac source, a 40-Ω resistor, a 0.30-H inductor, and a 60-μF capacitor. The rms current in the circuit is measured to be 1.6 A. What is the power factor of the circuit?

Accepted Answer

A)  0.70 
B)  0.66 
C)  0.63 
D)  0.59 
E)  0.56 
A)  0.70 
B)  0.66 
C)  0.63 
D)  0.59 
E)  0.56

Question 20

A series LRC circuit consists of 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   . At what frequency will this circuit be in resonance?

Accepted Answer

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

Exam 32: Ac Circuits

If the voltage amplitude across an 8.50-nF capacitor is equal to 12.0 V when the current amplitude through it is 3.33 mA, the frequency is closest to

A 120-V rms voltage at 1000 Hz is applied to an inductor, a 2.00-μF capacitor and a 100-Ω resistor, all in series. If the rms value of the current in this circuit is 0.680 A, what is the inductance of the inductor?

An ac source having a maximum voltage output of 30 V is connected in series with a 50-Ω resistor, a 0.60-H inductor, and a 20-µF capacitor. What is the maximum charge on the capacitor when the frequency of the source is adjusted so that the circuit is in resonance?

The inductor in a radio receiver carries a current of amplitude 200 mA when a voltage of amplitude 2.40 V is across it at a frequency of 1400 kHz. What is the value of the inductance?

A series circuit has a resistance of 4.0 Ω, a reactance (due to the capacitance) of 21.0 Ω, and a reactance (due to the inductance) of 17.0 Ω. Find the impedance of the circuit.

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

A series LRC circuit has a sinusoidal voltage supplied to it at with a peak voltage of a resistance, a capacitor, and a inductance. What is the peak current for this circuit?

Which one of the phasor diagrams shown below best represents a series LRC circuit driven at resonance?

An alternating current is supplied to an electronic component with a warning that the voltage across it should never exceed What is the highest rms voltage that can be supplied to this component while staying below the voltage limit in the warning?

An LRC series circuit has voltage supplied to it at a frequency of 13.0 kHz with a phase difference between the current and the voltage of magnitude 0.20 rad. If the circuit has a capacitance of 5.0 μF and an inductance of 0.050 H find the resistance of the circuit.

An LRC ac series circuit with R = 15 Ω, L = 25 mH, and C = 30 μF, is attached to a 100-V (rms) ac power supply. The frequency of the power supply is adjusted so that the circuit is in resonance. (a) What is the rms current in the circuit? (b) What is the power dissipated by the circuit?

A 120-V rms voltage at 60.0 Hz is applied across an inductor, a capacitor, and a resistor in series. If the peak current in this circuit is 0.8484 A, what is the impedance of this circuit?

The 60-Hz ac source of a series circuit has a voltage amplitude of 120 V. The resistance, capacitive reactance, and inductive reactance are as shown in the figure. What is the rms current in the circuit?

A series circuit consists of ac source, a 90-Ω resistor, a 0.80-H inductor, and an 80-μF capacitor. The frequency of the source is adjusted so that the capacitive reactance is equal to twice the inductive reactance. What is the frequency of the source?

An LRC series circuit consists of an 85.0-Ω resistor, a 14.0-μF capacitor, a 1.50-mH inductor, and a variable frequency ac source of voltage amplitude 13.25 V. At what angular frequency will the inductive reactance be 4.00 times as large as the capacitive reactance?

For an RLC ac circuit, the rms current is 10 A. If the impedance is 12 kΩ when the voltage leads the current by 39°, find the average power of the circuit.

The phase angle of an LRC series circuit with a capacitive reactance of 40 Ω, a resistor of 100 Ω and a certain inductor at 1000 Hz is 40.0°. What is the value of the inductance in this circuit?

A series circuit consists of a 50-Hz ac source, a 40-Ω resistor, a 0.30-H inductor, and a 60-μF capacitor. The rms current in the circuit is measured to be 1.6 A. What is the power factor of the circuit?

A series LRC circuit consists of 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 . At what frequency will this circuit be in resonance?

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