Question 1

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) C

Question 2

What is the average power dissipation in an RLC series circuit with R = 10Ω,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 C

Question 3

A primary current of 6.0 A exists in an ideal iron-core transformer at a primary voltage of 100 volts.If the current in the secondary is 0.75 A,calculate the output voltage.

Accepted Answer

A) 12.5 V 
B) 40 V 
C) 400 V 
D) 800 V 
E) 200 V 
A) 12.5 V 
B) 40 V 
C) 400 V 
D) 800 V 
E) 200 V D

Question 4

The impedance of the parallel RLC circuit shown is given by

Accepted Answer

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

Question 5

The graphs below represent current and voltage phasors at one instant of time.The solid arrows represent the voltage phasors,ΔV,and the dashed arrows represent the current phasors,Imax.The graph which shows the correct relationship between current and voltage phasors for an inductor in an RL circuit is

Accepted Answer

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

Question 6

In a typical transmission line,the current I is very small and the voltage V is very large.A unit length of line has resistance R.For a power line that supplies power to 10000 households,we can conclude that

Accepted Answer

A) IV = I2R. 
B) I = V/R. 
C) IV 2R. 
D) IV > I2R. 
E) I2R = 0. 
A) IV = I2R. 
B) I = V/R. 
C) IV 2R. 
D) IV > I2R. 
E) I2R = 0.

Question 7

Inductive reactance XL is given by

Accepted Answer

A) Lω 
B) L/ω 
C) 1/Lω 
D) ω/L 
E) ω2L 
A) Lω 
B) L/ω 
C) 1/Lω 
D) ω/L 
E) ω2L

Question 8

An RLC series circuit has R = 100 ohms,C = 25 μF,and L = 0.16 H.For what angular frequency of an ac voltage is the current flow maximum?

Accepted Answer

A) 251 rad/s 
B) 500 rad/s 
C) 757 rad/s 
D) 884 rad/s 
E) 79.6 rad/s 
A) 251 rad/s 
B) 500 rad/s 
C) 757 rad/s 
D) 884 rad/s 
E) 79.6 rad/s

Question 9

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 peak current in the circuit is

Accepted Answer

A) 0.963 A. 
B) 10.3 A. 
C) 11.0 A. 
D) 11.9 A. 
E) 29.2 A. 
A) 0.963 A. 
B) 10.3 A. 
C) 11.0 A. 
D) 11.9 A. 
E) 29.2 A.

Question 10

Determine the rms current for the circuit.

Accepted Answer

A) 55 mA 
B) 77 mA 
C) 99 mA 
D) 0.19 A 
E) 61 mA 
A) 55 mA 
B) 77 mA 
C) 99 mA 
D) 0.19 A 
E) 61 mA

Question 11

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 12

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

Accepted Answer

A) 55 V 
B) 77 V 
C) 110 V 
D) 154 V 
E) 198 V 
A) 55 V 
B) 77 V 
C) 110 V 
D) 154 V 
E) 198 V

Question 13

An ideal step-down transformer has 200 primary turns and 50 secondary turns.If 440 volts (rms)is placed across the primary,what is the current in the secondary when the load resistance is 7.00 ohms?

Accepted Answer

A) 3.6 A (rms) 
B) 7.3 A (rms) 
C) 11.4 A (rms) 
D) 15.7 A (rms) 
E) 12.4 A (rms) 
A) 3.6 A (rms) 
B) 7.3 A (rms) 
C) 11.4 A (rms) 
D) 15.7 A (rms) 
E) 12.4 A (rms)

Question 14

The total impedance Z of an RLC circuit driven by an ac voltage source at angular frequency ω is,

Accepted Answer

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

Question 15

The graphs below show the phasors ΔVmax and Imax for five RLC series circuits.The solid arrows represent the voltage phasors,ΔV,and the dashed arrows represent the current phasors,Imax.The graph which represents a circuit where the capacitive reactance is greater than the inductive reactance is

Accepted Answer

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

Question 16

An LC circuit is to have resonant oscillations at 5.0 MHz.Find the value of a capacitor which will work with a 1.0-mH inductor.

Accepted Answer

A) 2.0 mF 
B) 1.0 μF 
C) 0.020 μF 
D) 1.0 pF 
E) 40 pF 
A) 2.0 mF 
B) 1.0 μF 
C) 0.020 μF 
D) 1.0 pF 
E) 40 pF

Question 17

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

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 18

An ac generator with peak voltage 100 volts is placed across a 10-Ω resistor.What is the average power dissipated?

Accepted Answer

A) 100 W 
B) 150 W 
C) 500 W 
D) 1000 W 
E) 2000 W 
A) 100 W 
B) 150 W 
C) 500 W 
D) 1000 W 
E) 2000 W

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

If an R = 1.0-kΩ resistor,a C = 1.0-μF capacitor,and an L = 0.20-H inductor are connected in series with a V = 150 sin (377t)volts source,what is the maximum current delivered by the source?

Accepted Answer

A) 0.007 0 A 
B) 27 mA 
C) 54 mA 
D) 0.31 A 
E) 0.34 A 
A) 0.007 0 A 
B) 27 mA 
C) 54 mA 
D) 0.31 A 
E) 0.34 A

Exam 33: Alternating-Current Circuits

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?

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

A primary current of 6.0 A exists in an ideal iron-core transformer at a primary voltage of 100 volts.If the current in the secondary is 0.75 A,calculate the output voltage.

The impedance of the parallel RLC circuit shown is given by

In a typical transmission line,the current I is very small and the voltage V is very large.A unit length of line has resistance R.For a power line that supplies power to 10000 households,we can conclude that

Inductive reactance XL is given by

An RLC series circuit has R = 100 ohms,C = 25 μF,and L = 0.16 H.For what angular frequency of an ac voltage is the current flow maximum?

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 peak current in the circuit is

Determine the rms current for the circuit.

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

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

An ideal step-down transformer has 200 primary turns and 50 secondary turns.If 440 volts (rms)is placed across the primary,what is the current in the secondary when the load resistance is 7.00 ohms?

The total impedance Z of an RLC circuit driven by an ac voltage source at angular frequency ω is,

The graphs below show the phasors ΔVmax and Imax for five RLC series circuits.The solid arrows represent the voltage phasors,ΔV,and the dashed arrows represent the current phasors,Imax.The graph which represents a circuit where the capacitive reactance is greater than the inductive reactance is

An LC circuit is to have resonant oscillations at 5.0 MHz.Find the value of a capacitor which will work with a 1.0-mH inductor.

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

An ac generator with peak voltage 100 volts is placed across a 10-Ω resistor.What is the average power dissipated?

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

If an R = 1.0-kΩ resistor,a C = 1.0-μF capacitor,and an L = 0.20-H inductor are connected in series with a V = 150 sin (377t)volts source,what is the maximum current delivered by the source?

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Inductive reactance X_L is given by

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