Question 1

The phase angle of a series RL circuit with a 100.0-Ω resistor and a 20.00-mH inductor is 70.00°. What is the inductive reactance of this circuit?

Accepted Answer

A)  100.0 Ω 
B)  150.0 Ω 
C)  200.0 Ω 
D)  174.7 Ω 
E)  274.7 Ω 
A)  100.0 Ω 
B)  150.0 Ω 
C)  200.0 Ω 
D)  174.7 Ω 
E)  274.7 Ω

Question 2

In a series RLC circuit a capacitor will be dominant at lower frequencies.

Accepted Answer

A) True 
 B)False

Question 3

A 120-V rms signal at 60.0 Hz is applied across a 30.0-mH inductor and a 100-Ω resistor. What is the rms value of the voltage across the resistor?

Accepted Answer

A)  119 V 
B)  60.0 V 
C)  100 V 
D)  110 V 
E)  0.700 V 
A)  119 V 
B)  60.0 V 
C)  100 V 
D)  110 V 
E)  0.700 V

Question 4

A 25.0-mH inductor, a 2.00-μF capacitor, and a certain resistor are connected in series across an ac voltage source at 1000 Hz. If the impedance of this circuit is 200 Ω, what is the value of the resistor?

Accepted Answer

A)  100 Ω 
B)  184 Ω 
C)  552 Ω 
D)  579 Ω 
E)  200 Ω 
A)  100 Ω 
B)  184 Ω 
C)  552 Ω 
D)  579 Ω 
E)  200 Ω

Question 5

What is the phase angle between the voltages of the inductor and capacitor in a RLC series circuit?

Accepted Answer

A)  zero 
B)  45° 
C)  90° 
D)  180° 
E)  270° 
A)  zero 
B)  45° 
C)  90° 
D)  180° 
E)  270°

Question 6

The phase angle of an RLC 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 7

A 120-V rms voltage at 1000 Hz is applied to an inductor, a 2.00-μF capacitor and a 100-Ω resistor. If the rms value of the current in this circuit is 0.680 A, what is the value 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 8

The total impedance of an RC circuit with a resistance of 200 Ω is 1060 Ω. If the frequency of the applied voltage is 20.0 Hz, what is the value of the capacitance in this circuit?

Accepted Answer

A)  6.64 μF 
B)  7.64 μF 
C)  8.64 μF 
D)  9.64 μF 
E)  200 μF 
A)  6.64 μF 
B)  7.64 μF 
C)  8.64 μF 
D)  9.64 μF 
E)  200 μF

Question 9

A 120-V rms voltage at 60 Hz is applied across an RC circuit. The rms value of the current in the circuit is 0.60 A and it leads the voltage by 60°. What is the value of the resistance in this circuit?

Accepted Answer

A)  100 Ω 
B)  150 Ω 
C)  120 Ω 
D)  60 Ω 
E)  200 Ω 
A)  100 Ω 
B)  150 Ω 
C)  120 Ω 
D)  60 Ω 
E)  200 Ω

Question 10

A certain ac signal at 1000 Hz is applied across an inductor and a 100-Ω resistor. If the power factor of the circuit is 0.400, what is the impedance of this circuit?

Accepted Answer

A)  150 Ω 
B)  200 Ω 
C)  250 Ω 
D)  100 Ω 
E)  300 Ω 
A)  150 Ω 
B)  200 Ω 
C)  250 Ω 
D)  100 Ω 
E)  300 Ω

Question 11

The capacitive reactance of a capacitor is very small at low frequencies.

Accepted Answer

A) True 
 B)False

Question 12

A series RLC circuit connected across an ac voltage source has minimum current flowing through the circuit when operating at the resonant frequency.

Accepted Answer

A) True 
 B)False

Question 13

A 120-V rms voltage is applied across a 6.00-μF capacitor and a 100-Ω resistor. If the frequency of the generator is 60.0 Hz, what is the impedance of this circuit?

Accepted Answer

A)  153 Ω 
B)  453 Ω 
C)  353 Ω 
D)  253 Ω 
E)  553 Ω 
A)  153 Ω 
B)  453 Ω 
C)  353 Ω 
D)  253 Ω 
E)  553 Ω

Question 14

Consider a capacitor connected across the AC supply. The current through the capacitor will ________ as the capacitance is increased.

Accepted Answer

A)  increase 
B)  remain constant 
C)  decrease 
A)  increase 
B)  remain constant 
C)  decrease

Question 15

A series RLC circuit has a 100-Ω resistor, a 0.100-μF capacitor, and a 2.00-mH inductor connected across a 120 V rms ac source operating at resonant frequency. What is the rms value of the voltage across the inductor?

Accepted Answer

A)  170 V 
B)  150 V 
C)  120 V 
D)  54.0 V 
E)  533 V 
A)  170 V 
B)  150 V 
C)  120 V 
D)  54.0 V 
E)  533 V

Question 16

A 120-V rms voltage at 1000 Hz is applied to a series RLC circuit with an equal value of inductive and capacitive reactance and a 200-Ω resistance. What is the impedance of this circuit?

Accepted Answer

A)  100 Ω 
B)  0 Ω 
C)  240 Ω 
D)  120 Ω 
E)  200 Ω 
A)  100 Ω 
B)  0 Ω 
C)  240 Ω 
D)  120 Ω 
E)  200 Ω

Question 17

What resistance must be put in series with a 30-mH inductor at 4000 Hz to have a total impedance of 8.0 × 104 Ω?

Accepted Answer

A)  30 × 104 Ω 
B)  5.0 × 104 Ω 
C)  6.0 × 104 Ω 
D)  7.0 × 104 Ω 
E)  8.0 × 104 Ω 
A)  30 × 104 Ω 
B)  5.0 × 104 Ω 
C)  6.0 × 104 Ω 
D)  7.0 × 104 Ω 
E)  8.0 × 104 Ω

Question 18

In a series RLC circuit an inductor will be dominant at higher frequencies.

Accepted Answer

A) True 
 B)False

Question 19

The inductive reactance of an inductor is higher at low frequencies.

Accepted Answer

A) True 
 B)False

Question 20

The circuit power factor of an RC circuit is 0.620. The rms value of the voltage applied to this signal is 120 V and the impedance is 200 Ω. What is the average power of this circuit?

Accepted Answer

A)  44.6 W 
B)  89.2 W 
C)  60.0 W 
D)  0.620 W 
E)  124 W 
A)  44.6 W 
B)  89.2 W 
C)  60.0 W 
D)  0.620 W 
E)  124 W

Exam 24: Alternating-Current Circuits

The phase angle of a series RL circuit with a 100.0-Ω resistor and a 20.00-mH inductor is 70.00°. What is the inductive reactance of this circuit?

In a series RLC circuit a capacitor will be dominant at lower frequencies.

A 120-V rms signal at 60.0 Hz is applied across a 30.0-mH inductor and a 100-Ω resistor. What is the rms value of the voltage across the resistor?

A 25.0-mH inductor, a 2.00-μF capacitor, and a certain resistor are connected in series across an ac voltage source at 1000 Hz. If the impedance of this circuit is 200 Ω, what is the value of the resistor?

What is the phase angle between the voltages of the inductor and capacitor in a RLC series circuit?

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

The total impedance of an RC circuit with a resistance of 200 Ω is 1060 Ω. If the frequency of the applied voltage is 20.0 Hz, what is the value of the capacitance in this circuit?

A 120-V rms voltage at 60 Hz is applied across an RC circuit. The rms value of the current in the circuit is 0.60 A and it leads the voltage by 60°. What is the value of the resistance in this circuit?

A certain ac signal at 1000 Hz is applied across an inductor and a 100-Ω resistor. If the power factor of the circuit is 0.400, what is the impedance of this circuit?

The capacitive reactance of a capacitor is very small at low frequencies.

A series RLC circuit connected across an ac voltage source has minimum current flowing through the circuit when operating at the resonant frequency.

A 120-V rms voltage is applied across a 6.00-μF capacitor and a 100-Ω resistor. If the frequency of the generator is 60.0 Hz, what is the impedance of this circuit?

Consider a capacitor connected across the AC supply. The current through the capacitor will ________ as the capacitance is increased.

A series RLC circuit has a 100-Ω resistor, a 0.100-μF capacitor, and a 2.00-mH inductor connected across a 120 V rms ac source operating at resonant frequency. What is the rms value of the voltage across the inductor?

A 120-V rms voltage at 1000 Hz is applied to a series RLC circuit with an equal value of inductive and capacitive reactance and a 200-Ω resistance. What is the impedance of this circuit?

What resistance must be put in series with a 30-mH inductor at 4000 Hz to have a total impedance of 8.0 × 104 Ω?

In a series RLC circuit an inductor will be dominant at higher frequencies.

The inductive reactance of an inductor is higher at low frequencies.

The circuit power factor of an RC circuit is 0.620. The rms value of the voltage applied to this signal is 120 V and the impedance is 200 Ω. What is the average power of this circuit?

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What resistance must be put in series with a 30-mH inductor at 4000 Hz to have a total impedance of 8.0 × 10⁴ Ω?