Question 1

What size capacitor should be placed in series with a 30-Ω resistor and a 40-mH inductive coil if the resonant frequency of the circuit is to be 1.0 kHz?

Accepted Answer

A) 2.0 µF 
B) 0.63 µF 
C) 3.3 µF 
D) 6.0 µF 
E) 4.5 µF 
A) 2.0 µF 
B) 0.63 µF 
C) 3.3 µF 
D) 6.0 µF 
E) 4.5 µF

Question 2

A series circuit has a sinusoidal voltage supplied to it at  
With a peak voltage of  
It also contains a  
Resistance,a  
Capacitance,and a  
Inductance.What is the peak current for this circuit?

Accepted Answer

A) 6.3 μA 
B) 11 μA 
C) 26 μA 
D) 30 μA 
A) 6.3 μA 
B) 11 μA 
C) 26 μA 
D) 30 μA

Question 3

A 120-V rms voltage at 1.0 kHz is applied to a 2.0-mH inductor,a 4.0-μF capacitor and a resistor.If the rms value of the current in this circuit is 0.40 A,what is the value of the resistor?

Accepted Answer

A) 300 Ω 
B) 95 Ω 
C) 420 Ω 
D) 120 Ω 
E) 240 Ω 
A) 300 Ω 
B) 95 Ω 
C) 420 Ω 
D) 120 Ω 
E) 240 Ω

Question 4

As shown in the figure,an ac source whose rms voltage is 80 V is in series with a 100-Ω resistor and a capacitor whose reactance is 200 Ω at the frequency of the source.What is the rms voltage across the capacitor?

Accepted Answer

A) 66 V 
B) 68 V 
C) 70 V 
D) 72 V 
E) 74 V 
A) 66 V 
B) 68 V 
C) 70 V 
D) 72 V 
E) 74 V

Question 5

In the circuit shown in the figure,the 60-Hz ac source has a voltage amplitude of 120 V,the capacitive reactance is  
The inductive reactance is  
And the resistance is  
What is the capacitance C of the capacitor?

Accepted Answer

A) 3.2 µF 
B) 6.3 µF 
C) 9.4 µF 
D) 13 µF 
E) 20 µF 
A) 3.2 µF 
B) 6.3 µF 
C) 9.4 µF 
D) 13 µF 
E) 20 µF

Question 6

A simple circuit consists only of of a 1.0-μF capacitor and a 15-mH coil in series.At what frequency will this circuit oscillate?

Accepted Answer

A) 15 kHz 
B) 1.3 kHz 
C) 0.77 kHz 
D) 67 Hz 
A) 15 kHz 
B) 1.3 kHz 
C) 0.77 kHz 
D) 67 Hz

Question 7

What is the inductive reactance of a 2.50-mH coil at 1000 Hz?

Accepted Answer

A) 2500 Ω 
B) 796 Ω 
C) 15.7 Ω 
D) 2.50 Ω 
A) 2500 Ω 
B) 796 Ω 
C) 15.7 Ω 
D) 2.50 Ω

Question 8

A 120-V rms voltage at 60 Hz is applied across a series combination of a 20-μF capacitor and an unknown resistor.If the rms value of the current in the circuit is 0.60 A,what is the resistance of the resistor?

Accepted Answer

A) 60 Ω 
B) 120 Ω 
C) 180 Ω 
D) 150 Ω 
E) 200 Ω 
A) 60 Ω 
B) 120 Ω 
C) 180 Ω 
D) 150 Ω 
E) 200 Ω

Question 9

An alternating current is supplied to an electronic component with a rating that the voltage across it can never,even for an instant,exceed 16 V.What is the highest rms voltage that can be supplied to this component while staying below the voltage limit?

Accepted Answer

A) 8   V 
B) 16   V 
C) 256 V 
D) 8 V 
A) 8   V 
B) 16   V 
C) 256 V 
D) 8 V

Question 10

The figure shows a series ac circuit.The inductor has a reactance of 80 Ω and an inductance of 220 mH.A 30-Ω resistor and a capacitor whose reactance is 80 Ω are also in the circuit,and the rms current in the circuit is 2.0 A.What is the capacitance of the capacitor?

Accepted Answer

A) 34 μF 
B) 37 μF 
C) 32 μF 
D) 30 μF 
E) 27 μF 
A) 34 μF 
B) 37 μF 
C) 32 μF 
D) 30 μF 
E) 27 μF

Question 11

What is the peak voltage in an ac circuit where the rms voltage is 120 V?

Accepted Answer

A) 84.8 V 
B) 120 V 
C) 170 V 
D) 240 V 
A) 84.8 V 
B) 120 V 
C) 170 V 
D) 240 V

Question 12

At what frequency will the capacitive reactance of a 0.010-μF capacitor be 100 Ω?

Accepted Answer

A) 1.0 kHz 
B) 16 kHz 
C) 0.16 MHz 
D) 0.31 MHz 
A) 1.0 kHz 
B) 16 kHz 
C) 0.16 MHz 
D) 0.31 MHz

Question 13

A series circuit contains an 80-μF capacitor,a 0.020-H inductor,and a switch.The resistance of the circuit is negligible.Initially,the switch is open,the capacitor voltage is 50 V,and the current in the inductor is zero.At time t = 0 s,the switch is closed.What is the maximum current in the circuit?

Accepted Answer

A) 2.2 A 
B) 2.4 A 
C) 2.8 A 
D) 3.0 A 
E) 3.2 A 
A) 2.2 A 
B) 2.4 A 
C) 2.8 A 
D) 3.0 A 
E) 3.2 A

Question 14

A 120-V rms signal at 60.0 Hz is applied across a series combination of a 30.0-mH inductor and a resistor.If the rms value of the current in this circuit is 0.600 A,what is the resistance of the resistor?

Accepted Answer

A) 80.0 Ω 
B) 268 Ω 
C) 143 Ω 
D) 200 Ω 
E) 30.0 Ω 
A) 80.0 Ω 
B) 268 Ω 
C) 143 Ω 
D) 200 Ω 
E) 30.0 Ω

Question 15

A 120-V rms signal at 60 Hz is applied across a series combination of a 30-mH inductor and a 100-Ω resistor.What is the rms value of the current in this circuit?

Accepted Answer

A) 0.80 A 
B) 1.2 A 
C) 1.4 A 
D) 1.6 A 
E) 1.8 A 
A) 0.80 A 
B) 1.2 A 
C) 1.4 A 
D) 1.6 A 
E) 1.8 A

Question 16

The current through a 50-Ω resistor is I = (0.80 A) sin(240t),where t is measured in seconds.What is the rms current?

Accepted Answer

A) 0.57 A 
B) 0.80 A 
C) 1.1 A 
D) 1.6 A 
A) 0.57 A 
B) 0.80 A 
C) 1.1 A 
D) 1.6 A

Question 17

A simple ac circuit is composed of a capacitor connected across the terminals of an ac power source.If the frequency of the source is doubled,what happens to the reactance of the capacitor?

Accepted Answer

A) It increases by a factor of 4. 
B) It increases by a factor of 2. 
C) It increases by a factor of   
D) It decreases by a factor of 2. 
E) It decreases by a factor of 4. 
A) It increases by a factor of 4. 
B) It increases by a factor of 2. 
C) It increases by a factor of   
D) It decreases by a factor of 2. 
E) It decreases by a factor of 4.

Question 18

A 6.0-μF capacitor is connected to an ac signal with a frequency of 60 Hz.If the maximum voltage applied to the capacitor is 8.0 V,what is its capacitive reactance?

Accepted Answer

A) 6.0 Ω 
B) 440 Ω 
C) 7.5 ×   Ω 
D) 740 Ω 
E) 160 Ω 
A) 6.0 Ω 
B) 440 Ω 
C) 7.5 ×   Ω 
D) 740 Ω 
E) 160 Ω

Question 19

A series 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 20

A 150-W lamp is placed into a 120-V ac outlet.What is the peak current?

Accepted Answer

A) 0.80 A 
B) 0.88 A 
C) 1.2 A 
D) 1.8 A 
A) 0.80 A 
B) 0.88 A 
C) 1.2 A 
D) 1.8 A

Exam 24: Alternating-Current Circuits

What size capacitor should be placed in series with a 30-Ω resistor and a 40-mH inductive coil if the resonant frequency of the circuit is to be 1.0 kHz?

A series circuit has a sinusoidal voltage supplied to it at With a peak voltage of It also contains a Resistance,a Capacitance,and a Inductance.What is the peak current for this circuit?

A 120-V rms voltage at 1.0 kHz is applied to a 2.0-mH inductor,a 4.0-μF capacitor and a resistor.If the rms value of the current in this circuit is 0.40 A,what is the value of the resistor?

As shown in the figure,an ac source whose rms voltage is 80 V is in series with a 100-Ω resistor and a capacitor whose reactance is 200 Ω at the frequency of the source.What is the rms voltage across the capacitor?

In the circuit shown in the figure,the 60-Hz ac source has a voltage amplitude of 120 V,the capacitive reactance is The inductive reactance is And the resistance is What is the capacitance C of the capacitor?

A simple circuit consists only of of a 1.0-μF capacitor and a 15-mH coil in series.At what frequency will this circuit oscillate?

What is the inductive reactance of a 2.50-mH coil at 1000 Hz?

A 120-V rms voltage at 60 Hz is applied across a series combination of a 20-μF capacitor and an unknown resistor.If the rms value of the current in the circuit is 0.60 A,what is the resistance of the resistor?

An alternating current is supplied to an electronic component with a rating that the voltage across it can never,even for an instant,exceed 16 V.What is the highest rms voltage that can be supplied to this component while staying below the voltage limit?

The figure shows a series ac circuit.The inductor has a reactance of 80 Ω and an inductance of 220 mH.A 30-Ω resistor and a capacitor whose reactance is 80 Ω are also in the circuit,and the rms current in the circuit is 2.0 A.What is the capacitance of the capacitor?

What is the peak voltage in an ac circuit where the rms voltage is 120 V?

At what frequency will the capacitive reactance of a 0.010-μF capacitor be 100 Ω?

A 120-V rms signal at 60.0 Hz is applied across a series combination of a 30.0-mH inductor and a resistor.If the rms value of the current in this circuit is 0.600 A,what is the resistance of the resistor?

A 120-V rms signal at 60 Hz is applied across a series combination of a 30-mH inductor and a 100-Ω resistor.What is the rms value of the current in this circuit?

The current through a 50-Ω resistor is I = (0.80 A) sin(240t),where t is measured in seconds.What is the rms current?

A simple ac circuit is composed of a capacitor connected across the terminals of an ac power source.If the frequency of the source is doubled,what happens to the reactance of the capacitor?

A 6.0-μF capacitor is connected to an ac signal with a frequency of 60 Hz.If the maximum voltage applied to the capacitor is 8.0 V,what is its capacitive reactance?

A series 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 150-W lamp is placed into a 120-V ac outlet.What is the peak current?

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