Question 1

At what frequency would the reactance of a 10-µF capacitor be 100 $\Omega$

Accepted Answer

A) 318 Hz 
B) 159 Hz 
C) 79.6 Hz 
D) 39.8 Hz 
E) 25.4 Hz 
A) 318 Hz 
B) 159 Hz 
C) 79.6 Hz 
D) 39.8 Hz 
E) 25.4 Hz

Question 2

A series RLC circuit is driven by a 1.0-kHz oscillator.The circuit parameters are Vrms = 12 V,L = 5.0 mH,C = 4.0 $\mu$F,and R = 10 $\Omega$.Under steady-state conditions,the rms potential difference across the capacitor will be

Accepted Answer

A) 9.73 V 
B) 12.2 V 
C) 18.4 V 
D) 25.5 V 
E) 36.6 V 
A) 9.73 V 
B) 12.2 V 
C) 18.4 V 
D) 25.5 V 
E) 36.6 V

Question 3

Use the following figure to answer the next problem:  
-The diagram that correctly represents the phase relationship between the current through the resistor and the voltage across the inductor in a circuit containing an inductor L,a capacitor C,and a resistor R all connected in series is

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
E) 5 
A) 1 
B) 2 
C) 3 
D) 4 
E) 5

Question 4

The current in the primary of a transformer is changing at the rate of 500 A/s and the EMF in the secondary is 30 V.The coefficient of mutual inductance of this transformer is

Accepted Answer

A) 30 mH 
B) 60 mH 
C) 17 H 
D) 33 H 
E) 15 kH 
A) 30 mH 
B) 60 mH 
C) 17 H 
D) 33 H 
E) 15 kH

Question 5

You place a 50-mH inductor across an AC generator that has a maximum EMF of 120 V.The inductive reactance when the frequency is 2.0 kHz is approximately

Accepted Answer

A) 0.63 k$\Omega$ 
B) 13 k$\Omega$ 
C) 0.60 k$\Omega$ 
D) 47 $\Omega$ 
E) 19 $\Omega$ 
A) 0.63 k$\Omega$ 
B) 13 k$\Omega$ 
C) 0.60 k$\Omega$ 
D) 47 $\Omega$ 
E) 19 $\Omega$

Question 6

For a capACitor,the

Accepted Answer

A) voltage lags behind the current. 
B) current lags behind the voltage. 
C) current and the voltage are in phase. 
D) current-voltage phase angle is greater than 90º. 
E) current-voltage phase angle is less than 90º. 
A) voltage lags behind the current. 
B) current lags behind the voltage. 
C) current and the voltage are in phase. 
D) current-voltage phase angle is greater than 90º. 
E) current-voltage phase angle is less than 90º.

Question 7

A 5-µF capacitor is charged to 30 V and is then connected in series with a 10-µH inductor and a 50-$\Omega$ resistor.The potential difference across the inductor after a long time has passed will be

Accepted Answer

A) 0 
B) 7 V 
C) 15 V 
D) 30 V 
E) some value that cannot be determined from the given information. 
A) 0 
B) 7 V 
C) 15 V 
D) 30 V 
E) some value that cannot be determined from the given information.

Question 8

A series RLC circuit with L = 5 H,C = 10 µF,and R = 10 $\Omega$ is driven by a generator with a maximum EMF of 100 V and a variable frequency.The resonant frequency f0 of this circuit is

Accepted Answer

A) 22.5 Hz 
B) 45.0 Hz 
C) 90.0 Hz 
D) 180 Hz 
E) 360 Hz 
A) 22.5 Hz 
B) 45.0 Hz 
C) 90.0 Hz 
D) 180 Hz 
E) 360 Hz

Question 9

A series RLC circuit with L = 5 H,C = 10 µF,and R = 10 $\Omega$ is driven by a generator with a maximum EMF of 100 V and a variable frequency.The maximum current Im at resonance is

Accepted Answer

A) 3.21 A 
B) 5.32 A 
C) 7.64 A 
D) 9.55 A 
E) 10.0 A 
A) 3.21 A 
B) 5.32 A 
C) 7.64 A 
D) 9.55 A 
E) 10.0 A

Question 10

A 15-$\Omega$ resistor is connected ACross a sinusoidal source that has a peak value of 75 V.The rms current drawn from this source is approximately

Accepted Answer

A) 5.0 A 
B) 0.20 A 
C) 7.1 A 
D) 3.5 A 
E) 0.28 A 
A) 5.0 A 
B) 0.20 A 
C) 7.1 A 
D) 3.5 A 
E) 0.28 A

Question 11

Use the following figure for the next problem.  
-The figure shows the voltage and current for a(n)

Accepted Answer

A) inductor. 
B) capacitor. 
C) resistor. 
D) inductor and capacitor. 
E) inductor and resistor. 
A) inductor. 
B) capacitor. 
C) resistor. 
D) inductor and capacitor. 
E) inductor and resistor.

Question 12

You connect a 100-$\Omega$ resistor,a 800-mH inductor,and a 10.0-$\mu$F capacitor in series across a 60.0-Hz,120-V (peak)source.In this circuit,

Accepted Answer

A) the voltage and current are in phase. 
B) the current leads the voltage by 20.3º. 
C) the current leads the voltage by 37.6º. 
D) the voltage leads the current by 20.3º. 
E) the voltage leads the current by 37.6º. 
A) the voltage and current are in phase. 
B) the current leads the voltage by 20.3º. 
C) the current leads the voltage by 37.6º. 
D) the voltage leads the current by 20.3º. 
E) the voltage leads the current by 37.6º.

Question 13

How much does the maximum EMF produced by a generator (a rotating coil)change if its magnetic field is halved?

Accepted Answer

A) it is the same 
B) it is increased by a factor of sixteen 
C) it is decreased by a factor of two 
D) it is increased by a factor of four 
E) it is impossible to tell given the information provided 
A) it is the same 
B) it is increased by a factor of sixteen 
C) it is decreased by a factor of two 
D) it is increased by a factor of four 
E) it is impossible to tell given the information provided

Question 14

A 200-turn coil rotates in a magnetic field of magnitude 0.25 T at a frequency of 60 Hz.The area of the coil is 5.0 cm2.What is the maximum EMF in the coil?

Accepted Answer

A) 1.5 V 
B) 4.5 V 
C) 9.0 V 
D) 9.4 V 
E) 24 V 
A) 1.5 V 
B) 4.5 V 
C) 9.0 V 
D) 9.4 V 
E) 24 V

Question 15

At what frequency would the reactance of a 100-pF capactor be 1000 $\Omega$?

Accepted Answer

A) 3.18 MHz 
B) 15.9 MHz 
C) 1.59 MHz 
D) 3.98 MHz 
E) 2.54 Mhz 
A) 3.18 MHz 
B) 15.9 MHz 
C) 1.59 MHz 
D) 3.98 MHz 
E) 2.54 Mhz

Question 16

If you double the peak voltage in an AC circuit,the rms voltage

Accepted Answer

A) increases by a fACtor of 2. 
B) decreases by a fACtor of 2. 
C) increases by a fACtor of   . 
D) decreases by a fACtor of   . 
E) does not change. 
A) increases by a fACtor of 2. 
B) decreases by a fACtor of 2. 
C) increases by a fACtor of   . 
D) decreases by a fACtor of   . 
E) does not change.

Question 17

If you connect a 12-V rms AC power supply that operates at 5.0 kHz to a 20-$\mu$F capACitor,what is the rms current in the circuit? (neglect any resistance)

Accepted Answer

A) 1.2 A 
B) 7.5 A 
C) 19 A 
D) 8.4 A 
E) 11 A 
A) 1.2 A 
B) 7.5 A 
C) 19 A 
D) 8.4 A 
E) 11 A

Question 18

An inductor is placed across an AC generator that has a maximum EMF of 170 V.For a frequency of 3000 Hz,the rms current through the inductor is 5.0 A.Find the value of the inductor.

Accepted Answer

A) 8.0 $\times$ 10-3 H 
B) 9.2 $\times$ 10-4 H 
C) 1.8 $\times$ 10-3 H 
D) 1.3 $\times$ 10-3 H 
E) 5.6 $\times$ 10-3 H 
A) 8.0 $\times$ 10-3 H 
B) 9.2 $\times$ 10-4 H 
C) 1.8 $\times$ 10-3 H 
D) 1.3 $\times$ 10-3 H 
E) 5.6 $\times$ 10-3 H

Question 19

You have a 30-µH inductor and want to form a 1.0-MHz parallel,resonant circuit.You need a capacitor of

Accepted Answer

A) approximately 0.84 nF. 
B) approximately 1.2 nF. 
C) approximately 2.1 µF. 
D) approximately 33 µF. 
E) None of these is correct. 
A) approximately 0.84 nF. 
B) approximately 1.2 nF. 
C) approximately 2.1 µF. 
D) approximately 33 µF. 
E) None of these is correct.

Question 20

The reACtance of an inductor is 10 $\Omega$ at 1 kHz.The inductance of this inductor is

Accepted Answer

A) 1.00 mH 
B) 1.59 mH 
C) 2.06 mH 
D) 2.86 mH 
E) 3.45 mH 
A) 1.00 mH 
B) 1.59 mH 
C) 2.06 mH 
D) 2.86 mH 
E) 3.45 mH

Exam 29: Alternating-Current Circuits

At what frequency would the reactance of a 10-µF capacitor be 100 Ω\OmegaΩ

A series RLC circuit is driven by a 1.0-kHz oscillator.The circuit parameters are Vrms = 12 V,L = 5.0 mH,C = 4.0 μ\muμ F,and R = 10 Ω\OmegaΩ .Under steady-state conditions,the rms potential difference across the capacitor will be

Use the following figure to answer the next problem: -The diagram that correctly represents the phase relationship between the current through the resistor and the voltage across the inductor in a circuit containing an inductor L,a capacitor C,and a resistor R all connected in series is

The current in the primary of a transformer is changing at the rate of 500 A/s and the EMF in the secondary is 30 V.The coefficient of mutual inductance of this transformer is

You place a 50-mH inductor across an AC generator that has a maximum EMF of 120 V.The inductive reactance when the frequency is 2.0 kHz is approximately

For a capACitor,the

A 5-µF capacitor is charged to 30 V and is then connected in series with a 10-µH inductor and a 50- Ω\OmegaΩ resistor.The potential difference across the inductor after a long time has passed will be

A series RLC circuit with L = 5 H,C = 10 µF,and R = 10 Ω\OmegaΩ is driven by a generator with a maximum EMF of 100 V and a variable frequency.The resonant frequency f0 of this circuit is

A series RLC circuit with L = 5 H,C = 10 µF,and R = 10 Ω\OmegaΩ is driven by a generator with a maximum EMF of 100 V and a variable frequency.The maximum current Im at resonance is

A 15- Ω\OmegaΩ resistor is connected ACross a sinusoidal source that has a peak value of 75 V.The rms current drawn from this source is approximately

Use the following figure for the next problem. -The figure shows the voltage and current for a(n)

You connect a 100- Ω\OmegaΩ resistor,a 800-mH inductor,and a 10.0- μ\muμ F capacitor in series across a 60.0-Hz,120-V (peak)source.In this circuit,

How much does the maximum EMF produced by a generator (a rotating coil)change if its magnetic field is halved?

A 200-turn coil rotates in a magnetic field of magnitude 0.25 T at a frequency of 60 Hz.The area of the coil is 5.0 cm2.What is the maximum EMF in the coil?

At what frequency would the reactance of a 100-pF capactor be 1000 Ω\OmegaΩ ?

If you double the peak voltage in an AC circuit,the rms voltage

If you connect a 12-V rms AC power supply that operates at 5.0 kHz to a 20- μ\muμ F capACitor,what is the rms current in the circuit? (neglect any resistance)

An inductor is placed across an AC generator that has a maximum EMF of 170 V.For a frequency of 3000 Hz,the rms current through the inductor is 5.0 A.Find the value of the inductor.

You have a 30-µH inductor and want to form a 1.0-MHz parallel,resonant circuit.You need a capacitor of

The reACtance of an inductor is 10 Ω\OmegaΩ at 1 kHz.The inductance of this inductor is

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Filters

At what frequency would the reactance of a 10-µF capacitor be 100 $\Omega$

A series RLC circuit is driven by a 1.0-kHz oscillator.The circuit parameters are V_rms = 12 V,L = 5.0 mH,C = 4.0 $\mu$ F,and R = 10 $\Omega$ .Under steady-state conditions,the rms potential difference across the capacitor will be

A 5-µF capacitor is charged to 30 V and is then connected in series with a 10-µH inductor and a 50- $\Omega$ resistor.The potential difference across the inductor after a long time has passed will be

A series RLC circuit with L = 5 H,C = 10 µF,and R = 10 $\Omega$ is driven by a generator with a maximum EMF of 100 V and a variable frequency.The resonant frequency f₀ of this circuit is

A series RLC circuit with L = 5 H,C = 10 µF,and R = 10 $\Omega$ is driven by a generator with a maximum EMF of 100 V and a variable frequency.The maximum current I_m at resonance is

A 15- $\Omega$ resistor is connected ACross a sinusoidal source that has a peak value of 75 V.The rms current drawn from this source is approximately

You connect a 100- $\Omega$ resistor,a 800-mH inductor,and a 10.0- $\mu$ F capacitor in series across a 60.0-Hz,120-V (peak)source.In this circuit,

A 200-turn coil rotates in a magnetic field of magnitude 0.25 T at a frequency of 60 Hz.The area of the coil is 5.0 cm².What is the maximum EMF in the coil?

At what frequency would the reactance of a 100-pF capactor be 1000 $\Omega$ ?

If you connect a 12-V rms AC power supply that operates at 5.0 kHz to a 20- $\mu$ F capACitor,what is the rms current in the circuit? (neglect any resistance)

The reACtance of an inductor is 10 $\Omega$ at 1 kHz.The inductance of this inductor is