Exam 32: Ac Circuits
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An ac circuit is shown in the figure.The rms current in the circuit is 1.3 A.What is the peak magnetic energy in the inductance? 

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(Multiple Choice)
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Correct Answer:
A
An ac series circuit consists of a voltage source,an 880-Ω resistor,and an inductance L.(There is no capacitance in the circuit.)The current amplitude is 0.60 A,and the phase angle between the source voltage and the current has a magnitude of 41°.
(a)Does the source voltage lag or lead the current?
(b)What is the voltage amplitude of the source?
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(Essay)
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Correct Answer:
(a)The source voltage leads the current.
(b)700 volts
The 60-Hz ac source of the series circuit shown in the figure has a voltage amplitude of
120 V.The capacitive reactance is 790 Ω,the inductive reactance is 270 Ω,and the resistance is 500Ω.
(a)What is the capacitance of the capacitor?
(b)What is the inductance of the inductor?

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(Short Answer)
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Correct Answer:
(a)3.4 µF (b)720 mH
A series LRC circuit has a sinusoidal voltage supplied to it at
with a peak voltage of
a
resistance,a
capacitor,and a
inductance.What is the peak current for this circuit?





(Multiple Choice)
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The inductor in a radio receiver carries a current of amplitude 200 mA when a voltage of amplitude 2.40 V is across it at a frequency of 1400 kHz.What is the value of the inductance?
(Multiple Choice)
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A series LRC ac circuit has a peak voltage of
and a peak current of
If the current lags the voltage by
what is the average power of the circuit?



(Multiple Choice)
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A 25.0-mH inductor,a 2.00-μF capacitor,and a certain resistor are connected in series across an ac voltage source at 1000 Hz.If the impedance of this circuit is 200 Ω,what is the resistance of the resistor?
(Multiple Choice)
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A series ac circuit consists of an inductor having a reactance of 80 Ω and an inductance of 190 mH,a 40-Ω resistor,a capacitor whose reactance is 100 Ω,and an ac source.The rms current in the circuit is measured to be 2.2 A.What is the rms voltage of the source?
(Multiple Choice)
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An LRC ac series circuit has R = 15 Ω,L = 25 mH,and C = 30 μF.The circuit is connected to a 120-V (rms)ac source with frequency 200 Hz.
(a)What is the average power dissipated by the circuit?
(b)What is the power factor for the circuit?
(Short Answer)
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A 120-V rms voltage at 60.0 Hz is applied across an inductor,a capacitor,and a resistor in series.If the peak current in this circuit is 0.8484 A,what is the impedance of this circuit?
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An LRC series circuit consists of an 85.0-Ω resistor,a 14.0-μF capacitor,a 1.50-mH inductor,and a variable frequency ac source of voltage amplitude 13.25 V.At what angular frequency will the inductive reactance be 4.00 times as large as the capacitive reactance?
(Multiple Choice)
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If the voltage amplitude across an 8.50-nF capacitor is equal to 12.0 V when the current amplitude through it is 3.33 mA,the frequency is closest to
(Multiple Choice)
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An ac source of period T and maximum voltage V is connected to a single unknown ideal element that is either a resistor,and inductor,or a capacitor.At time t = 0 the voltage is zero.At time t = T/4 the current in the unknown element is equal to zero,and at time t = T/2 the current is I = -Imax,where Imax is the current amplitude.What is the unknown element?
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A series LRC circuit consists of a 100-Ω resistor,a 0.100-μF capacitor and a 2.00-mH inductor connected across a 120-V rms ac voltage source operating at
.At what frequency will this circuit be in resonance?

(Multiple Choice)
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An LRC ac circuit has a reactance (due to its capacitance)of 17 kΩ,a reactance (due to its inductance)of 9.0 kΩ,and a resistance of 28 kΩ.What is the power factor of the circuit?
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An ac source having a maximum voltage output of 30 V is connected in series with a 50-Ω resistor,a 0.60-H inductor,and a 20-µF capacitor.What is the maximum charge on the capacitor when the frequency of the source is adjusted so that the circuit is in resonance?
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A series circuit has a resistance of 4.0 Ω,a reactance (due to the capacitance)of 21.0 Ω,and a reactance (due to the inductance)of 17.0 Ω.Find the impedance of the circuit.
(Multiple Choice)
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A series LRC ac circuit has a resistance of 4.0 kΩ,a capacitance of 33.0 μF,and an inductance of 23.0 H.If the frequency of the alternating current is 2.0/π kHz,what is the phase angle between the voltage and the current?
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An ac circuit is shown in the figure.The rms current in the circuit is measured to be 1.8 A.What is the capacitance of the capacitor? 

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A series LRC circuit consists of a 5.00-pF capacitor,a 7.25-mH inductor,a 75.0-Ω resistor,and a 50.0-V ac power source of variable frequency.At what frequency will the impedance of this circuit be equal to 75.0 Ω?
(Short Answer)
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