Question 1

The average value of sin2$\omega$t for a complete cycle is

Accepted Answer

A)  1. 
B)  0. 
C)  0.707. 
D)  0.500. 
E)  0.250. 
A)  1. 
B)  0. 
C)  0.707. 
D)  0.500. 
E)  0.250. D

Question 2

Two 100 W bulbs differ in that one is designed for the American 120 V rms and the other is designed for the European 220 V rms.Which bulb has the greater resistance,and what is that resistance?

Accepted Answer

A)  American,288 $\Omega$ 
B)  American,144 $\Omega$ 
C)  European,484 $\Omega$ 
D)  European,242 $\Omega$ 
E)  they are the same,265 $\Omega$ 
A)  American,288 $\Omega$ 
B)  American,144 $\Omega$ 
C)  European,484 $\Omega$ 
D)  European,242 $\Omega$ 
E)  they are the same,265 $\Omega$ C

Question 3

If an AC circuit consists of a 220 mH inductor in series with a 75 k$\Omega$ resistor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 25 kHz,what is the rms voltage drop across the inductor?

Accepted Answer

A)  7.0 V 
B)  2.6 V 
C)  9.4 V 
D)  5.0 V 
A)  7.0 V 
B)  2.6 V 
C)  9.4 V 
D)  5.0 V D

Question 4

A series RLC circuit has a resistance of 500 $\Omega$, and inductance of 20.0 mH, and a capacitance of 2.00 $\mu$F. The power source provides a voltage of v = (170 sin(377t))V. What is the peak current in this circuit?

Accepted Answer

A)  92.4 mA 
B)  101 mA 
C)  121 mA 
D)  170 mA 
E)  240 mA 
A)  92.4 mA 
B)  101 mA 
C)  121 mA 
D)  170 mA 
E)  240 mA

Question 5

A capacitor is connected to the terminals of a variable frequency oscillator.The peak voltage of the source in kept fixed while the frequency is increased.Which statement is true?

Accepted Answer

A)  The rms current through the capacitor decreases. 
B)  The rms current through the capacitor increases. 
C)  The phase angle between the current and source voltage changes. 
D)  The current becomes zero when the frequency is large enough. 
A)  The rms current through the capacitor decreases. 
B)  The rms current through the capacitor increases. 
C)  The phase angle between the current and source voltage changes. 
D)  The current becomes zero when the frequency is large enough.

Question 6

What is the capacitance of a capacitor with a reactance of 20.0 $\Omega$ at a frequency of 60.0 Hz?

Accepted Answer

A)  50.0 mF 
B)  50.0 $\mu$F 
C)  133 mF 
D)  133 $\mu$F 
E)  833 $\mu$F 
A)  50.0 mF 
B)  50.0 $\mu$F 
C)  133 mF 
D)  133 $\mu$F 
E)  833 $\mu$F

Question 7

An RLC series circuit has a 200 $\Omega$ resistance,a 3.0 mH inductor,and a 100 $\mu$F capacitor.At resonance,what is the inductive reactance?

Accepted Answer

A)  21 $\Omega$ 
B)  5.5 $\Omega$ 
C)  11 $\Omega$ 
D)  25 $\Omega$ 
E)  30 $\Omega$ 
A)  21 $\Omega$ 
B)  5.5 $\Omega$ 
C)  11 $\Omega$ 
D)  25 $\Omega$ 
E)  30 $\Omega$

Question 8

An ac circuit has a 20 $\mu$F capacitor,an 80 mH inductor,and a 60 $\Omega$ resistor in series.If the voltage source has an angular frequency of 1000 rad/s,what is the phase constant for the circuit?

Accepted Answer

A)  27$^{\circ}$ 
B)  53$^{\circ}$ 
C)  45$^{\circ}$ 
D)  63$^{\circ}$ 
E)  88$^{\circ}$ 
A)  27$^{\circ}$ 
B)  53$^{\circ}$ 
C)  45$^{\circ}$ 
D)  63$^{\circ}$ 
E)  88$^{\circ}$

Question 9

The voltage supplied to an ac circuit is given by v = 120 sin(60t).What are the rms voltage and the frequency?

Accepted Answer

A)  120 V, 60 Hz 
B)  120 V, 380 Hz 
C)  170 V, 9.5 Hz 
D)  85 V, 9.5 Hz 
E)  240 V, 30 Hz 
A)  120 V, 60 Hz 
B)  120 V, 380 Hz 
C)  170 V, 9.5 Hz 
D)  85 V, 9.5 Hz 
E)  240 V, 30 Hz

Question 10

An ac circuit has a resistance of 120 $\Omega$ and an impedance of 200 $\Omega$.What is the power factor for this circuit?

Accepted Answer

A)  53$^{\circ}$ 
B)  32$^{\circ}$ 
C)  0.60 
D)  1.7 
E)  1.3 
A)  53$^{\circ}$ 
B)  32$^{\circ}$ 
C)  0.60 
D)  1.7 
E)  1.3

Question 11

What is the resonant frequency of a 1.0 $\mu$F capacitor and 15 mH coil in series?

Accepted Answer

A)  15 kHz 
B)  1.3 kHz 
C)  0.87 kHz 
D)  57 kHz 
A)  15 kHz 
B)  1.3 kHz 
C)  0.87 kHz 
D)  57 kHz

Question 12

I the inductance and the capacitance both double in an LRC series circuit,the resonate frequency of that circuit will

Accepted Answer

A)  decrease by a factor of 1/2. 
B)  decrease by a factor of 1/4. 
C)  increase by a factor of 2. 
D)  increase by a factor of 4. 
A)  decrease by a factor of 1/2. 
B)  decrease by a factor of 1/4. 
C)  increase by a factor of 2. 
D)  increase by a factor of 4.

Question 13

If an AC circuit consists of a 220 mH inductor in series with a 25 pF capacitor and an AC generator with rms voltage of 12 V.At what frequency will the rms voltage drop across the capacitor be equal to that across the inductor?

Accepted Answer

A)  94 kHz 
B)  15 kHz 
C)  68 kHz 
D)  426 kHz 
A)  94 kHz 
B)  15 kHz 
C)  68 kHz 
D)  426 kHz

Question 14

What is the inductance for an inductor with a reactance of 20 $\Omega$ at a frequency of 60 Hz?

Accepted Answer

A)  12 H 
B)  19 H 
C)  3.0 H 
D)  53 mH 
E)  27 mH 
A)  12 H 
B)  19 H 
C)  3.0 H 
D)  53 mH 
E)  27 mH

Question 15

What is the average power for an 8.00 mF capacitor attached to a 120 V rms 60.0 Hz source?

Accepted Answer

A)  240 W 
B)  120 W 
C)  85.0 W 
D)  60.0 W 
E)  0.000 
A)  240 W 
B)  120 W 
C)  85.0 W 
D)  60.0 W 
E)  0.000

Question 16

A series RLC circuit has resistance 200 $\Omega$,inductance 0.200 H, and capacitance 0.500 $\mu$F.If the circuit is at resonance with a 120 V rms source,what is the average power dissipated?

Accepted Answer

A)  144 W 
B)  120 W 
C)  77.0 W 
D)  72.0 W 
E)  100 W 
A)  144 W 
B)  120 W 
C)  77.0 W 
D)  72.0 W 
E)  100 W

Question 17

In an RLC ac circuit the current in the inductor and the current in the resistor are

Accepted Answer

A)  out of phase by 90$^{\circ}$with the current in the inductor leading. 
B)  out of phase by 90$^{\circ}$with the current in the resistor leading. 
C)  in phase with each other. 
D)  out of phase by an amount proportional to frequency. 
E)  out of phase by an amount inversely proportional to frequency. 
A)  out of phase by 90$^{\circ}$with the current in the inductor leading. 
B)  out of phase by 90$^{\circ}$with the current in the resistor leading. 
C)  in phase with each other. 
D)  out of phase by an amount proportional to frequency. 
E)  out of phase by an amount inversely proportional to frequency.

Question 18

An RLC series circuit has a 400 $\Omega$ resistance,a 2.5 mH inductor,and a capacitor.If the circuit is in resonance at 30 kHz and is attached to a 20 mV rms power supply,what is the power dissipated by the circuit?

Accepted Answer

A)  1.0 $\mu$W 
B)  2.0 $\mu$W 
C)  24 mW 
D)  1.2 $\mu$W 
E)  1.2 mW 
A)  1.0 $\mu$W 
B)  2.0 $\mu$W 
C)  24 mW 
D)  1.2 $\mu$W 
E)  1.2 mW

Question 19

If an AC circuit consists of a 220 mH inductor in series with a 25 pF capacitor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 55 kHz,what will the rms voltage drop across the inductor be?

Accepted Answer

A)  5.4 V 
B)  11.80 V 
C)  6.6 V 
D)  0.20 V 
A)  5.4 V 
B)  11.80 V 
C)  6.6 V 
D)  0.20 V

Question 20

What is the period for a frequency of 60 Hz?

Accepted Answer

A)  60 s 
B)  (1/60)s 
C)  120 s 
D)  (1/120)s 
E)  (1/377)s 
A)  60 s 
B)  (1/60)s 
C)  120 s 
D)  (1/120)s 
E)  (1/377)s

Exam 21: Alternating Current

The average value of sin2 ω\omegaω t for a complete cycle is

Two 100 W bulbs differ in that one is designed for the American 120 V rms and the other is designed for the European 220 V rms.Which bulb has the greater resistance,and what is that resistance?

If an AC circuit consists of a 220 mH inductor in series with a 75 k Ω\OmegaΩ resistor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 25 kHz,what is the rms voltage drop across the inductor?

A series RLC circuit has a resistance of 500 Ω\OmegaΩ , and inductance of 20.0 mH, and a capacitance of 2.00 μ\muμ F. The power source provides a voltage of v = (170 sin(377t))V. What is the peak current in this circuit?

A capacitor is connected to the terminals of a variable frequency oscillator.The peak voltage of the source in kept fixed while the frequency is increased.Which statement is true?

What is the capacitance of a capacitor with a reactance of 20.0 Ω\OmegaΩ at a frequency of 60.0 Hz?

An RLC series circuit has a 200 Ω\OmegaΩ resistance,a 3.0 mH inductor,and a 100 μ\muμ F capacitor.At resonance,what is the inductive reactance?

An ac circuit has a 20 μ\muμ F capacitor,an 80 mH inductor,and a 60 Ω\OmegaΩ resistor in series.If the voltage source has an angular frequency of 1000 rad/s,what is the phase constant for the circuit?

The voltage supplied to an ac circuit is given by v = 120 sin(60t).What are the rms voltage and the frequency?

An ac circuit has a resistance of 120 Ω\OmegaΩ and an impedance of 200 Ω\OmegaΩ .What is the power factor for this circuit?

What is the resonant frequency of a 1.0 μ\muμ F capacitor and 15 mH coil in series?

I the inductance and the capacitance both double in an LRC series circuit,the resonate frequency of that circuit will

If an AC circuit consists of a 220 mH inductor in series with a 25 pF capacitor and an AC generator with rms voltage of 12 V.At what frequency will the rms voltage drop across the capacitor be equal to that across the inductor?

What is the inductance for an inductor with a reactance of 20 Ω\OmegaΩ at a frequency of 60 Hz?

What is the average power for an 8.00 mF capacitor attached to a 120 V rms 60.0 Hz source?

A series RLC circuit has resistance 200 Ω\OmegaΩ ,inductance 0.200 H, and capacitance 0.500 μ\muμ F.If the circuit is at resonance with a 120 V rms source,what is the average power dissipated?

In an RLC ac circuit the current in the inductor and the current in the resistor are

An RLC series circuit has a 400 Ω\OmegaΩ resistance,a 2.5 mH inductor,and a capacitor.If the circuit is in resonance at 30 kHz and is attached to a 20 mV rms power supply,what is the power dissipated by the circuit?

If an AC circuit consists of a 220 mH inductor in series with a 25 pF capacitor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 55 kHz,what will the rms voltage drop across the inductor be?

What is the period for a frequency of 60 Hz?

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Filters

The average value of sin² $\omega$ t for a complete cycle is

If an AC circuit consists of a 220 mH inductor in series with a 75 k $\Omega$ resistor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 25 kHz,what is the rms voltage drop across the inductor?

A series RLC circuit has a resistance of 500 $\Omega$ , and inductance of 20.0 mH, and a capacitance of 2.00 $\mu$ F. The power source provides a voltage of v = (170 sin(377t))V. What is the peak current in this circuit?

What is the capacitance of a capacitor with a reactance of 20.0 $\Omega$ at a frequency of 60.0 Hz?

An RLC series circuit has a 200 $\Omega$ resistance,a 3.0 mH inductor,and a 100 $\mu$ F capacitor.At resonance,what is the inductive reactance?

An ac circuit has a 20 $\mu$ F capacitor,an 80 mH inductor,and a 60 $\Omega$ resistor in series.If the voltage source has an angular frequency of 1000 rad/s,what is the phase constant for the circuit?

An ac circuit has a resistance of 120 $\Omega$ and an impedance of 200 $\Omega$ .What is the power factor for this circuit?

What is the resonant frequency of a 1.0 $\mu$ F capacitor and 15 mH coil in series?

What is the inductance for an inductor with a reactance of 20 $\Omega$ at a frequency of 60 Hz?

A series RLC circuit has resistance 200 $\Omega$ ,inductance 0.200 H, and capacitance 0.500 $\mu$ F.If the circuit is at resonance with a 120 V rms source,what is the average power dissipated?

An RLC series circuit has a 400 $\Omega$ resistance,a 2.5 mH inductor,and a capacitor.If the circuit is in resonance at 30 kHz and is attached to a 20 mV rms power supply,what is the power dissipated by the circuit?