Question 1

The graph shows the voltage across and the current through a single circuit element connected to an ac generator.  
-Determine the rms voltage across this element.

Accepted Answer

A) 49.5 V 
B) 70.0 V 
C) 112 V 
D) 140 V 
E) 170 V 
A) 49.5 V 
B) 70.0 V 
C) 112 V 
D) 140 V 
E) 170 V B

Question 2

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-$\varOmega$ resistor and a 0.500-H inductor.
-What is the inductive reactance of the circuit?

Accepted Answer

A) 60 $\varOmega$ 
B) 188 $\varOmega$ 
C) 377 $\varOmega$ 
D) 514 $\varOmega$ 
E) 754 $\varOmega$ 
A) 60 $\varOmega$ 
B) 188 $\varOmega$ 
C) 377 $\varOmega$ 
D) 514 $\varOmega$ 
E) 754 $\varOmega$ B

Question 3

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-$\varOmega$ resistor.
-What is the peak (not rms) voltage across the inductor?

Accepted Answer

A) 120 V 
B) 180 V 
C) 190 V 
D) 260 V 
E) 290 V 
A) 120 V 
B) 180 V 
C) 190 V 
D) 260 V 
E) 290 V A

Question 4

An oscillating LC circuit has a resonant frequency of 1.2 × 10S1U1P16 S1S1P0Hz. 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 × 10S1U1P1-S1S1P0S1U1P17 S1S1P0J.  
-Which one of the following statements is true for this circuit?

Accepted Answer

A) When the current in the inductor is zero, $\Delta$I/$\Delta$t = 0 A/s. 
B) The circuit will allow dc as well as ac current to flow. 
C) The magnetic field in the inductor is a maximum at t = 0 s. 
D) The charge on the capacitor will be a maximum at t = 4.2 × 10-7 s. 
E) As the current through the inductor decreases, the induced emf in the coil is directed opposite to the direction of the current. 
A) When the current in the inductor is zero, $\Delta$I/$\Delta$t = 0 A/s. 
B) The circuit will allow dc as well as ac current to flow. 
C) The magnetic field in the inductor is a maximum at t = 0 s. 
D) The charge on the capacitor will be a maximum at t = 4.2 × 10-7 s. 
E) As the current through the inductor decreases, the induced emf in the coil is directed opposite to the direction of the current.

Question 5

The table below shows the values of the resistance, capacitive reactance and inductive reactance for five RCL circuits. In which circuit will the voltage lead the current?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 6

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-$\varOmega$ resistor.
-What is the impedance of the circuit?

Accepted Answer

A) 150 $\varOmega$ 
B) 190 $\varOmega$ 
C) 360 $\varOmega$ 
D) 390 $\varOmega$ 
E) 440 $\varOmega$ 
A) 150 $\varOmega$ 
B) 190 $\varOmega$ 
C) 360 $\varOmega$ 
D) 390 $\varOmega$ 
E) 440 $\varOmega$

Question 7

An ac generator supplies a peak (not rms) voltage of 150 V at 60.0 Hz. The generator is connected in series with a 35-mH inductor, a 45-µF capacitor and an 85-$\varOmega$ resistor.
-Which one of the following statements concerning this circuit is true?

Accepted Answer

A) The voltage leads the current. 
B) The circuit is more capacitive than inductive. 
C) The voltage and current are exactly out of phase. 
D) The voltage and current are in phase. 
E) The phase angle for this circuit is positive. 
A) The voltage leads the current. 
B) The circuit is more capacitive than inductive. 
C) The voltage and current are exactly out of phase. 
D) The voltage and current are in phase. 
E) The phase angle for this circuit is positive.

Question 8

An ac voltage source that has a frequency f is connected across the terminals of a capacitor. Which one of the following statements correctly indicates the effect on the capacitive reactance when the frequency is increased to 4f?

Accepted Answer

A) The capacitive reactance increases by a factor of four. 
B) The capacitive reactance increases by a factor of eight. 
C) The capacitive reactance is unchanged. 
D) The capacitive reactance decreases by a factor of eight. 
E) The capacitive reactance decreases by a factor of four. 
A) The capacitive reactance increases by a factor of four. 
B) The capacitive reactance increases by a factor of eight. 
C) The capacitive reactance is unchanged. 
D) The capacitive reactance decreases by a factor of eight. 
E) The capacitive reactance decreases by a factor of four.

Question 9

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-$\varOmega$ resistor and a 0.500-H inductor.
-What is the rms voltage of the generator?

Accepted Answer

A) 84.9 V 
B) 138 V 
C) 151 V 
D) 169 V 
E) 240 V 
A) 84.9 V 
B) 138 V 
C) 151 V 
D) 169 V 
E) 240 V

Question 10

The voltage across and the current through a single circuit element connected to an ac generator are shown in the graph.  
-Determine the reactance of this circuit element.

Accepted Answer

A) 20 $\varOmega$ 
B) 25 $\varOmega$ 
C) 40 $\varOmega$ 
D) 57 $\varOmega$ 
E) 80 $\varOmega$ 
A) 20 $\varOmega$ 
B) 25 $\varOmega$ 
C) 40 $\varOmega$ 
D) 57 $\varOmega$ 
E) 80 $\varOmega$

Question 11

The voltage across and the current through a single circuit element connected to an ac generator are shown in the graph.  
-Which one of the following statements concerning this circuit element is true?

Accepted Answer

A) The element is a resistor. 
B) The element is a capacitor. 
C) The element is an inductor. 
D) The element could be a resistor or an inductor. 
E) The element could be an inductor or a capacitor. 
A) The element is a resistor. 
B) The element is a capacitor. 
C) The element is an inductor. 
D) The element could be a resistor or an inductor. 
E) The element could be an inductor or a capacitor.

Question 12

What is the capacitive reactance of a circuit comprised of a 65.0-µF capacitor and a 50.0-Hz generator?

Accepted Answer

A) 49.0 $\varOmega$ 
B) 72.5 $\varOmega$ 
C) 97.6 $\varOmega$ 
D) 145 $\varOmega$ 
E) 308 $\varOmega$ 
A) 49.0 $\varOmega$ 
B) 72.5 $\varOmega$ 
C) 97.6 $\varOmega$ 
D) 145 $\varOmega$ 
E) 308 $\varOmega$

Question 13

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-$\varOmega$ resistor.
-What is the phase angle for this circuit?

Accepted Answer

A) 26° 
B) -32° 
C) 38° 
D) -40° 
E) 50° 
A) 26° 
B) -32° 
C) 38° 
D) -40° 
E) 50°

Question 14

Note the following circuit elements: (1) resistors, (2) capacitors, and (3) inductors. Which of these elements uses no energy, on average, in an ac circuit?

Accepted Answer

A) 1 only 
B) 2 only 
C) 3 only 
D) both 2 and 3 
E) both 1 and 3 
A) 1 only 
B) 2 only 
C) 3 only 
D) both 2 and 3 
E) both 1 and 3

Question 15

Three 4.0-µF capacitors are connected in parallel across the terminals of a 60.0-Hz generator. What is the capacitive reactance of the circuit?

Accepted Answer

A) 39 $\varOmega$ 
B) 110 $\varOmega$ 
C) 330 $\varOmega$ 
D) 660 $\varOmega$ 
E) 1.0 × 103 $\varOmega$ 
A) 39 $\varOmega$ 
B) 110 $\varOmega$ 
C) 330 $\varOmega$ 
D) 660 $\varOmega$ 
E) 1.0 × 103 $\varOmega$

Question 16

The reactance of a capacitor in a circuit at 110 Hz is 35 $\varOmega$. Determine the capacitance.

Accepted Answer

A) 41 µF 
B) 260 µF 
C) 51 mF 
D) 0.10 F 
E) 0.31 F 
A) 41 µF 
B) 260 µF 
C) 51 mF 
D) 0.10 F 
E) 0.31 F

Question 17

The current in a certain ac circuit is independent of the frequency at a given voltage. Which combination of elements is most likely to comprise the circuit?

Accepted Answer

A) resistors only 
B) inductors only 
C) capacitors only 
D) a combination of inductors and resistors 
E) a combination of inductors and capacitors 
A) resistors only 
B) inductors only 
C) capacitors only 
D) a combination of inductors and resistors 
E) a combination of inductors and capacitors

Question 18

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

Accepted Answer

A) The impedance is dominated by the capacitance at low frequencies. 
B) The impedance is dominated by the resistance at high frequencies. 
C) The impedance depends only on the values of C and L. 
D) The impedance depends only on the resistance. 
E) The impedance is independent of frequency. 
A) The impedance is dominated by the capacitance at low frequencies. 
B) The impedance is dominated by the resistance at high frequencies. 
C) The impedance depends only on the values of C and L. 
D) The impedance depends only on the resistance. 
E) The impedance is independent of frequency.

Question 19

The graph shows the voltage across and the current through a single circuit element connected to an ac generator.  
-Determine the rms current through this element.

Accepted Answer

A) 1.4 A 
B) 2.0 A 
C) 3.4 A 
D) 3.9 A 
E) 5.6 A 
A) 1.4 A 
B) 2.0 A 
C) 3.4 A 
D) 3.9 A 
E) 5.6 A

Question 20

A series RCL circuit contains a 222-$\varOmega$ resistor, a 1.40-µF capacitor, and a 0.125-H inductor. The 360-Hz ac generator in the circuit has an rms voltage of 208 V. What is the average electric power dissipated by the circuit?

Accepted Answer

A) 22 W 
B) 81 W 
C) 166 W 
D) 193 W 
E) 102 W 
A) 22 W 
B) 81 W 
C) 166 W 
D) 193 W 
E) 102 W

Exam 23: Alternating Current Circuits

The graph shows the voltage across and the current through a single circuit element connected to an ac generator. -Determine the rms voltage across this element.

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\varOmegaΩ resistor and a 0.500-H inductor. -What is the inductive reactance of the circuit?

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\varOmegaΩ resistor. -What is the peak (not rms) voltage across the inductor?

The table below shows the values of the resistance, capacitive reactance and inductive reactance for five RCL circuits. In which circuit will the voltage lead the current?

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\varOmegaΩ resistor. -What is the impedance of the circuit?

An ac generator supplies a peak (not rms) voltage of 150 V at 60.0 Hz. The generator is connected in series with a 35-mH inductor, a 45-µF capacitor and an 85- Ω\varOmegaΩ resistor. -Which one of the following statements concerning this circuit is true?

An ac voltage source that has a frequency f is connected across the terminals of a capacitor. Which one of the following statements correctly indicates the effect on the capacitive reactance when the frequency is increased to 4f?

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\varOmegaΩ resistor and a 0.500-H inductor. -What is the rms voltage of the generator?

The voltage across and the current through a single circuit element connected to an ac generator are shown in the graph. -Determine the reactance of this circuit element.

The voltage across and the current through a single circuit element connected to an ac generator are shown in the graph. -Which one of the following statements concerning this circuit element is true?

What is the capacitive reactance of a circuit comprised of a 65.0-µF capacitor and a 50.0-Hz generator?

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\varOmegaΩ resistor. -What is the phase angle for this circuit?

Note the following circuit elements: (1) resistors, (2) capacitors, and (3) inductors. Which of these elements uses no energy, on average, in an ac circuit?

Three 4.0-µF capacitors are connected in parallel across the terminals of a 60.0-Hz generator. What is the capacitive reactance of the circuit?

The reactance of a capacitor in a circuit at 110 Hz is 35 Ω\varOmegaΩ . Determine the capacitance.

The current in a certain ac circuit is independent of the frequency at a given voltage. Which combination of elements is most likely to comprise the circuit?

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

The graph shows the voltage across and the current through a single circuit element connected to an ac generator. -Determine the rms current through this element.

A series RCL circuit contains a 222- Ω\varOmegaΩ resistor, a 1.40-µF capacitor, and a 0.125-H inductor. The 360-Hz ac generator in the circuit has an rms voltage of 208 V. What is the average electric power dissipated by the circuit?

Introduction and Mathematical Concepts

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Forces and Newtons Laws of Motion

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Interference and the Wave Nature of Light

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Nuclear Physics and Radioactivity

Ionizing Radiation, Nuclear Energy, and Elementary Particles

Filters

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- $\varOmega$ resistor and a 0.500-H inductor. -What is the inductive reactance of the circuit?

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- $\varOmega$ resistor. -What is the peak (not rms) voltage across the inductor?

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- $\varOmega$ resistor. -What is the impedance of the circuit?

An ac generator supplies a peak (not rms) voltage of 150 V at 60.0 Hz. The generator is connected in series with a 35-mH inductor, a 45-µF capacitor and an 85- $\varOmega$ resistor. -Which one of the following statements concerning this circuit is true?

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- $\varOmega$ resistor and a 0.500-H inductor. -What is the rms voltage of the generator?

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- $\varOmega$ resistor. -What is the phase angle for this circuit?

The reactance of a capacitor in a circuit at 110 Hz is 35 $\varOmega$ . Determine the capacitance.

A series RCL circuit contains a 222- $\varOmega$ resistor, a 1.40-µF capacitor, and a 0.125-H inductor. The 360-Hz ac generator in the circuit has an rms voltage of 208 V. What is the average electric power dissipated by the circuit?