Question 1

Which of the following are the units of a henry and a farad, respectively?

Accepted Answer

A) J ⋅ s2/C2 and C2/J 
B) V ⋅ s/A and V/C 
C) V/(A ⋅ s) and C/V 
D) N ⋅ m/A2 and 1/J 
E) None of the above 
A) J ⋅ s2/C2 and C2/J 
B) V ⋅ s/A and V/C 
C) V/(A ⋅ s) and C/V 
D) N ⋅ m/A2 and 1/J 
E) None of the above A

Question 2

For driving voltage   , the current through the resistor is ​
​   ​

Accepted Answer

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

Question 3

Determine the rms voltage drop across the resistor in the circuit.

Accepted Answer

A) 55 V 
B) 77 V 
C) 9.9 V 
D) 5.5 V 
E) 61 V 
A) 55 V 
B) 77 V 
C) 9.9 V 
D) 5.5 V 
E) 61 V A

Question 4

At what frequency will a 12-μF capacitor have a reactance XC = 300 Ω?

Accepted Answer

A) 44 Hz 
B) 88 Hz 
C) 180 Hz 
D) 350 Hz 
E) 280 Hz 
A) 44 Hz 
B) 88 Hz 
C) 180 Hz 
D) 350 Hz 
E) 280 Hz

Question 5

What is the average power dissipation in an RLC series circuit with R = 10 Ω, L = 0.1 H, C = 10 μF when driven at resonance by a 100 V rms source?

Accepted Answer

A) 100 W 
B) 500 W 
C) 1000 W 
D) 2 kW 
E) 700 W 
A) 100 W 
B) 500 W 
C) 1000 W 
D) 2 kW 
E) 700 W

Question 6

A series LC circuit contains a 100-mH inductor, a 36.0-mF capacitor and a 12-V battery. The period of the electromagnetic oscillations in the circuit is

Accepted Answer

A) 0.0227 s. 
B) 0.377 s. 
C) 2.26 s. 
D) 105 s. 
E) 1750 s. 
A) 0.0227 s. 
B) 0.377 s. 
C) 2.26 s. 
D) 105 s. 
E) 1750 s.

Question 7

A circuit contains two inductors of 6.0-mH inductance in series placed in parallel with an inductor of 8.0-mH inductance. After one of the 6.0-mH inductors burns out, the repair person wants to replace all three inductors with one inductor of equivalent inductance. Assuming inductors combine in series and parallel the same way resistors do, what inductance should she use?

Accepted Answer

A) 3.0 mH 
B) 3.4 mH 
C) 4.8 mH 
D) 11 mH 
E) 20 mH 
A) 3.0 mH 
B) 3.4 mH 
C) 4.8 mH 
D) 11 mH 
E) 20 mH

Question 8

There is no current in the circuit shown in the figure below until the switch is closed. The current through the 20-Ω resistor the instant after the switch is closed is either [1] 15 A or [2] 5.0 A, and the current through the 20-Ω resistor after the switch has been closed a long time is either [3] 5.0 A or [4] 15 A. Which combination of the above choices is correct?

Accepted Answer

A) [1] and [3] 
B) [1] and [4] 
C) [2] and [3] 
D) [2] and [4] 
E) None of these 
A) [1] and [3] 
B) [1] and [4] 
C) [2] and [3] 
D) [2] and [4] 
E) None of these

Question 9

A transformer is to be designed to increase the 30 kV rms output of a generator to the transmission-line voltage of 345 kV rms. If the primary winding has 80 turns, how many turns must the secondary have?

Accepted Answer

A) 6 
B) 70 
C) 920 
D) 9200 
E) 12 
A) 6 
B) 70 
C) 920 
D) 9200 
E) 12

Question 10

An alternating current circuit has resistance R, inductance L, and capacitance C in series with a voltage source. Which statement is correct?

Accepted Answer

A) The voltage across the capacitor leads the voltage across the inductor by 90°. 
B) The voltage across the inductor leads the voltage across the capacitor by 90°. 
C) The voltage across the inductor leads the voltage across the resistor by 180°. 
D) The voltage across the inductor is out of phase with the voltage across the capacitor by 180°. 
E) Both voltages lead the voltage across the resistor by 90°. 
A) The voltage across the capacitor leads the voltage across the inductor by 90°. 
B) The voltage across the inductor leads the voltage across the capacitor by 90°. 
C) The voltage across the inductor leads the voltage across the resistor by 180°. 
D) The voltage across the inductor is out of phase with the voltage across the capacitor by 180°. 
E) Both voltages lead the voltage across the resistor by 90°.

Question 11

A 0.500-H inductor is connected into a 110 V rms 60.0-Hz voltage source, with an ammeter in series. What is the rms value of the current through the inductor?

Accepted Answer

A) 0.189 A (rms) 
B) 0.292 A (rms) 
C) 0.584 A (rms) 
D) 1.19 A (rms) 
E) 0.093 A (rms) 
A) 0.189 A (rms) 
B) 0.292 A (rms) 
C) 0.584 A (rms) 
D) 1.19 A (rms) 
E) 0.093 A (rms)

Question 12

The voltage 8.00 sin (400t) is applied to a series RLC circuit, with R = 200 Ω, L = 0.100 H, and C = 1.00 μF. What are the impedance Z and the phase angle θ?

Accepted Answer

A) 200 Ω, −37.0° 
B) 566 Ω, +87.0° 
C) 2470 Ω, −85.4° 
D) 2540 Ω, −88.8° 
E) 393 Ω, −63.0° 
A) 200 Ω, −37.0° 
B) 566 Ω, +87.0° 
C) 2470 Ω, −85.4° 
D) 2540 Ω, −88.8° 
E) 393 Ω, −63.0°

Question 13

A 60.0-Hz AC generator with a peak voltage of 110 V drives a series RL circuit with R = 10.0 Ω and L = 10.0 mH. The impedance is

Accepted Answer

A) 3.77 Ω. 
B) 9.26 Ω. 
C) 10.0 Ω. 
D) 10.7 Ω. 
E) 13.8 Ω. 
A) 3.77 Ω. 
B) 9.26 Ω. 
C) 10.0 Ω. 
D) 10.7 Ω. 
E) 13.8 Ω.

Question 14

A series LC circuit contains a 100-mH inductor, a 36.0-mF capacitor and a 12-V battery. The frequency of the electromagnetic oscillations in the circuit is

Accepted Answer

A) 5.73 × 10−4 Hz. 
B) 9.55 × 10−3 Hz. 
C) 0.442 Hz. 
D) 2.65 Hz. 
E) 44.0 Hz. 
A) 5.73 × 10−4 Hz. 
B) 9.55 × 10−3 Hz. 
C) 0.442 Hz. 
D) 2.65 Hz. 
E) 44.0 Hz.

Question 15

After a switch is thrown to remove the battery from a DC LR circuit, but the circuit is still left complete, the time constant represents

Accepted Answer

A) the time rate of change of the current in the circuit. 
B) the time rate of change of the induced emf in the circuit. 
C) the magnitude of the ratio of the current to the time rate of change of the current. 
D) all of the above. 
E) only (a) and (b) above. 
A) the time rate of change of the current in the circuit. 
B) the time rate of change of the induced emf in the circuit. 
C) the magnitude of the ratio of the current to the time rate of change of the current. 
D) all of the above. 
E) only (a) and (b) above.

Question 16

Calculate Vout/Vin for the circuit if R = 2.0 kΩ, C = 0.020 μF and V = 140 V sin(50,000t). ​   ​

Accepted Answer

A) 0.02 
B) 0.45 
C) 0.80 
D) 0.98 
E) 2.2 
A) 0.02 
B) 0.45 
C) 0.80 
D) 0.98 
E) 2.2

Question 17

Whenever the alternating current frequency in a series RLC circuit is halved,

Accepted Answer

A) the inductive reactance is doubled and the capacitive reactance is halved. 
B) the inductive reactance is doubled and the capacitive reactance is doubled. 
C) the inductive reactance is halved and the capacitive reactance is halved. 
D) the inductive reactance is halved and the capacitive reactance is doubled. 
E) the reactance of the circuit remains the same. 
A) the inductive reactance is doubled and the capacitive reactance is halved. 
B) the inductive reactance is doubled and the capacitive reactance is doubled. 
C) the inductive reactance is halved and the capacitive reactance is halved. 
D) the inductive reactance is halved and the capacitive reactance is doubled. 
E) the reactance of the circuit remains the same.

Question 18

Suppose the circuit parameters in a series RLC circuit are: L = 1.00 μH, C = 10.0 nF, R = 100 Ω, and the source voltage is 220 V. Determine the resonant frequency of the circuit and the amplitude of the current at resonance.

Accepted Answer

The answer of Suppose the circuit parameters in a series...

Question 19

A 60.0-Hz AC generator with a peak voltage of 110 V drives a series RC circuit with R = 10.0 Ω and C = 300 μF. The power factor, cos φ, is

Accepted Answer

A) −1.00. 
B) −0.749. 
C) +0.749. 
D) +0.834. 
E) +1.00. 
A) −1.00. 
B) −0.749. 
C) +0.749. 
D) +0.834. 
E) +1.00.

Question 20

A 2.0-μF capacitor in series with a 2.0-kΩ resistor is connected to a 60-Hz AC source. Calculate the impedance of the circuit.

Accepted Answer

A) 1500 ohms 
B) 1800 ohms 
C) 2100 ohms 
D) 2400 ohms 
E) 8600 ohms 
A) 1500 ohms 
B) 1800 ohms 
C) 2100 ohms 
D) 2400 ohms 
E) 8600 ohms

Exam 33: Inductors and Ac Circuits

Which of the following are the units of a henry and a farad, respectively?

For driving voltage , the current through the resistor is ​ ​ ​

Determine the rms voltage drop across the resistor in the circuit.

At what frequency will a 12-μF capacitor have a reactance XC = 300 Ω?

What is the average power dissipation in an RLC series circuit with R = 10 Ω, L = 0.1 H, C = 10 μF when driven at resonance by a 100 V rms source?

A series LC circuit contains a 100-mH inductor, a 36.0-mF capacitor and a 12-V battery. The period of the electromagnetic oscillations in the circuit is

A transformer is to be designed to increase the 30 kV rms output of a generator to the transmission-line voltage of 345 kV rms. If the primary winding has 80 turns, how many turns must the secondary have?

An alternating current circuit has resistance R, inductance L, and capacitance C in series with a voltage source. Which statement is correct?

A 0.500-H inductor is connected into a 110 V rms 60.0-Hz voltage source, with an ammeter in series. What is the rms value of the current through the inductor?

The voltage 8.00 sin (400t) is applied to a series RLC circuit, with R = 200 Ω, L = 0.100 H, and C = 1.00 μF. What are the impedance Z and the phase angle θ?

A 60.0-Hz AC generator with a peak voltage of 110 V drives a series RL circuit with R = 10.0 Ω and L = 10.0 mH. The impedance is

A series LC circuit contains a 100-mH inductor, a 36.0-mF capacitor and a 12-V battery. The frequency of the electromagnetic oscillations in the circuit is

After a switch is thrown to remove the battery from a DC LR circuit, but the circuit is still left complete, the time constant represents

Calculate Vout/Vin for the circuit if R = 2.0 kΩ, C = 0.020 μF and V = 140 V sin(50,000t). ​ ​

Whenever the alternating current frequency in a series RLC circuit is halved,

Suppose the circuit parameters in a series RLC circuit are: L = 1.00 μH, C = 10.0 nF, R = 100 Ω, and the source voltage is 220 V. Determine the resonant frequency of the circuit and the amplitude of the current at resonance.

A 60.0-Hz AC generator with a peak voltage of 110 V drives a series RC circuit with R = 10.0 Ω and C = 300 μF. The power factor, cos φ, is

A 2.0-μF capacitor in series with a 2.0-kΩ resistor is connected to a 60-Hz AC source. Calculate the impedance of the circuit.

Getting Started

One-Dimensional Motion

Vectors

Two- and Three-Dimensional Motion

Newtons Laws of Motion

Applications of Newtons Laws of Motion

Gravity

Conservation of Energy

Energy in Nonisolated Systems

Systems of Particles and Conservation of Momentum

Collisions

Rotation I: Kinematics and Dynamics

Rotation II: a Conservation Approach

Static Equilibrium, Elasticity, and Fracture

Fluids

Oscillations

Traveling Waves

Superposition and Standing Waves

Temperature, Thermal Expansion, and Gas Laws

Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

Entropy and the Second Law of Thermodynamics

Electric Forces

Electric Fields

Gausss Law

Electric Potential

Capacitors and Batteries

Current and Resistance

Direct Current Dc Circuits

Magnetic Fields and Forces

Gausss Law for Magnetism and Amperes Law

Faradays Law of Induction

Maxwells Equations and Electromagnetic Waves

Diffraction and Interference

Applications of the Wave Model

Reflection and Images Formed by Reflection

Refraction and Images Formed by Refraction

Relativity

Filters

For driving voltage , the current through the resistor is

Calculate Vout/Vin for the circuit if R = 2.0 kΩ, C = 0.020 μF and V = 140 V sin(50,000t).