Question 1

The graph shows the voltage across and the current through a single circuit element connected to an ac generator.  
-What is the reactance of this element?

Accepted Answer

A) 20 $\varOmega$ 
B) 25 $\varOmega$ 
C) 30 $\varOmega$ 
D) 35 $\varOmega$ 
E) 40 $\varOmega$ 
A) 20 $\varOmega$ 
B) 25 $\varOmega$ 
C) 30 $\varOmega$ 
D) 35 $\varOmega$ 
E) 40 $\varOmega$

Question 2

Complete the following statement: When the current in an oscillating LC circuit is zero,

Accepted Answer

A) the charge on the capacitor is zero. 
B) the energy in the electric field is maximum. 
C) the energy in the magnetic field is a maximum. 
D) the charge is moving through the inductor. 
E) the energy is equally shared between the electric and magnetic fields. 
A) the charge on the capacitor is zero. 
B) the energy in the electric field is maximum. 
C) the energy in the magnetic field is a maximum. 
D) the charge is moving through the inductor. 
E) the energy is equally shared between the electric and magnetic fields.

Question 3

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.
-What is the inductive reactance for this circuit?

Accepted Answer

A) 13 $\varOmega$ 
B) 23 $\varOmega$ 
C) 59 $\varOmega$ 
D) 85 $\varOmega$ 
E) 99 $\varOmega$ 
A) 13 $\varOmega$ 
B) 23 $\varOmega$ 
C) 59 $\varOmega$ 
D) 85 $\varOmega$ 
E) 99 $\varOmega$

Question 4

Two 0.20-H inductors and one 0.44-H inductor are connected in series across the terminals of a 60.0-Hz ac generator. What is the total inductive reactance of this circuit?

Accepted Answer

A) 230 $\varOmega$ 
B) 320 $\varOmega$ 
C) 158 $\varOmega$ 
D) 56 $\varOmega$ 
E) 27 $\varOmega$ 
A) 230 $\varOmega$ 
B) 320 $\varOmega$ 
C) 158 $\varOmega$ 
D) 56 $\varOmega$ 
E) 27 $\varOmega$

Question 5

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 inductive reactance?

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 6

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.
-Determine the rms voltage of the generator.

Accepted Answer

A) 220 V 
B) 110 V 
C) 82 V 
D) 75 V 
E) 53 V 
A) 220 V 
B) 110 V 
C) 82 V 
D) 75 V 
E) 53 V

Question 7

A battery is used to drive a circuit. After a certain amount of time, the current is zero amperes. When the same circuit is driven by an ac generator, the current is non-zero and alternates. 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 8

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.
-Determine the impedance of the circuit.

Accepted Answer

A) 50 $\varOmega$ 
B) 190 $\varOmega$ 
C) 195 $\varOmega$ 
D) 240 $\varOmega$ 
E) 210 $\varOmega$ 
A) 50 $\varOmega$ 
B) 190 $\varOmega$ 
C) 195 $\varOmega$ 
D) 240 $\varOmega$ 
E) 210 $\varOmega$

Question 9

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 resistor?

Accepted Answer

A) 120 V 
B) 140 V 
C) 190 V 
D) 260 V 
E) 290 V 
A) 120 V 
B) 140 V 
C) 190 V 
D) 260 V 
E) 290 V

Question 10

The following table gives the reactance and rms voltage across the elements of a series RCL circuit:  
-What is the impedance of the circuit?

Accepted Answer

A) 11 $\varOmega$ 
B) 22 $\varOmega$ 
C) 349 $\varOmega$ 
D) 486 $\varOmega$ 
E) 1240 $\varOmega$ 
A) 11 $\varOmega$ 
B) 22 $\varOmega$ 
C) 349 $\varOmega$ 
D) 486 $\varOmega$ 
E) 1240 $\varOmega$

Question 11

In the circuit shown in the drawing, the generator supplies the same amount of rms current at either very small or very large frequencies. What can be deduced about the resistances R1, R2, and R3 from this information?

Accepted Answer

A) R1 = R2 = R3 
B) R1 = 2R2 
C) R1 = R2 
D) R1 = R3 
E) R2 = R3 
A) R1 = R2 = R3 
B) R1 = 2R2 
C) R1 = R2 
D) R1 = R3 
E) R2 = R3

Question 12

The voltage across and the current through a single circuit element connected to an ac generator are shown in the graph.  
-At what frequency do charges oscillate in this circuit?

Accepted Answer

A) 0.01 Hz 
B) 0.04 Hz 
C) 0.09 Hz 
D) 11 Hz 
E) 25 Hz 
A) 0.01 Hz 
B) 0.04 Hz 
C) 0.09 Hz 
D) 11 Hz 
E) 25 Hz

Question 13

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

Accepted Answer

A) 1.0 A 
B) 1.4 A 
C) 2.0 A 
D) 2.8 A 
E) 4.0 A 
A) 1.0 A 
B) 1.4 A 
C) 2.0 A 
D) 2.8 A 
E) 4.0 A

Question 14

An ac circuit consists of a series combination of an inductor and a capacitor. What is the phase angle between the voltages across these two circuit elements?

Accepted Answer

A) 0° 
B) 90° 
C) 180° 
D) 270° 
E) 360° 
A) 0° 
B) 90° 
C) 180° 
D) 270° 
E) 360°

Question 15

The table below shows the values of the resistance, capacitive reactance, and inductive reactance for five RCL circuits. Which circuit will have a negative phase angle?

Accepted Answer

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

Question 16

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 peak current through the resistor?

Accepted Answer

A) 2.40 A 
B) 1.71 A 
C) 1.33 A 
D) 0.617 A 
E) 0.437 A 
A) 2.40 A 
B) 1.71 A 
C) 1.33 A 
D) 0.617 A 
E) 0.437 A

Question 17

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.
-What is the power factor for this circuit?

Accepted Answer

A) 0.47 
B) 0.54 
C) 0.64 
D) 0.88 
E) 28.3 
A) 0.47 
B) 0.54 
C) 0.64 
D) 0.88 
E) 28.3

Question 18

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

Accepted Answer

A) 0.14 Hz 
B) 7.14 Hz 
C) 12.5 Hz 
D) 25.0 Hz 
E) 50.0 Hz 
A) 0.14 Hz 
B) 7.14 Hz 
C) 12.5 Hz 
D) 25.0 Hz 
E) 50.0 Hz

Question 19

Two 3.25-µF capacitors are connected in series across the terminals of a 50.0-Hz ac generator that has a peak voltage of 244 V. Determine the rms current in the circuit.

Accepted Answer

A) 0.917 A 
B) 0.802 A 
C) 0.308 A 
D) 0.621 A 
E) 0.125 A 
A) 0.917 A 
B) 0.802 A 
C) 0.308 A 
D) 0.621 A 
E) 0.125 A

Question 20

The graph shows the impedance as a function of frequency for a series RCL circuit. At what frequency will this circuit resonate?

Accepted Answer

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

Exam 23: Alternating Current Circuits

The graph shows the voltage across and the current through a single circuit element connected to an ac generator. -What is the reactance of this element?

Complete the following statement: When the current in an oscillating LC circuit is zero,

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. -What is the inductive reactance for this circuit?

Two 0.20-H inductors and one 0.44-H inductor are connected in series across the terminals of a 60.0-Hz ac generator. What is the total inductive reactance of this 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 inductive reactance?

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. -Determine the rms voltage of the generator.

A battery is used to drive a circuit. After a certain amount of time, the current is zero amperes. When the same circuit is driven by an ac generator, the current is non-zero and alternates. Which combination of elements is most likely to comprise the circuit?

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. -Determine the impedance 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 resistor?

The following table gives the reactance and rms voltage across the elements of a series RCL circuit: -What is the impedance of the circuit?

In the circuit shown in the drawing, the generator supplies the same amount of rms current at either very small or very large frequencies. What can be deduced about the resistances R1, R2, and R3 from this information?

The voltage across and the current through a single circuit element connected to an ac generator are shown in the graph. -At what frequency do charges oscillate in this circuit?

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

An ac circuit consists of a series combination of an inductor and a capacitor. What is the phase angle between the voltages across these two circuit elements?

The table below shows the values of the resistance, capacitive reactance, and inductive reactance for five RCL circuits. Which circuit will have a negative phase angle?

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 peak current through the resistor?

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. -What is the power factor for this circuit?

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

Two 3.25-µF capacitors are connected in series across the terminals of a 50.0-Hz ac generator that has a peak voltage of 244 V. Determine the rms current in the circuit.

The graph shows the impedance as a function of frequency for a series RCL circuit. At what frequency will this circuit resonate?

Introduction and Mathematical Concepts

Kinematics in One Dimension

Kinematics in Two Dimensions

Forces and Newtons Laws of Motion

Dynamics of Uniform Circular Motion

Work and Energy

Impulse and Momentum

Rotational Kinematics

Rotational Dynamics

Simple Harmonic Motion and Elasticity

Fluids

Temperature and Heat

The Transfer of Heat

The Ideal Gas Law and Kinetic Theory

Thermodynamics

Waves and Sound

The Principle of Linear Superposition and Interference Phenomena

Electric Forces and Electric Fields

Electric Potential Energy and the Electric Potential

Electric Circuits

Magnetic Forces and Magnetic Fields

Electromagnetic Induction

Electromagnetic Waves

The Refl Ection of Light: Mirrors

The Refraction of Light: Lenses and Optical Instruments

Interference and the Wave Nature of Light

Special Relativity

Particles and Waves

The Nature of the Atom

Nuclear Physics and Radioactivity

Ionizing Radiation, Nuclear Energy, and Elementary Particles

Filters

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. -What is the inductive reactance for this 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 inductive reactance?

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. -Determine the rms voltage of the generator.

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. -Determine the impedance 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 resistor?

In the circuit shown in the drawing, the generator supplies the same amount of rms current at either very small or very large frequencies. What can be deduced about the resistances R₁, R₂, and R₃ from this information?

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 peak current through the resistor?

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. -What is the power factor for this circuit?