Question 1

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?
A)70.7 kHz
B)17.9 kHz
C)22.5 kHz
D)35.3 kHz
E)11.3 kHz

Accepted Answer

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Question 2

A series LRC circuit consists of a 12.0-mH inductor,a 15.0-µF capacitor,a resistor,and a 110-V (rms)ac voltage source.If the impedance of this circuit is 45.0 Ω at resonance,what is its impedance at a frequency twice the resonance frequency?

Accepted Answer

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Question 3

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?

Accepted Answer

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Question 4

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?
A)1.0 mC
B)0.00 mC
C)2.1 mC
D)4.2 mC
E)8.4 mC

Accepted Answer

Resonance occurs when the capacitive reactance and inductive reactance in the circuit cancel each other out. At this point, the impedance is purely resistive and is equal to the resistance in the circuit.
The frequency of resonance can be calculated using the formula f = 1/(2π√(LC)), where L is the inductance and C is the capacitance in the circuit. Plugging in the values, we get:
f = 1/(2π√(0.60 H x 20 µF)) = 2.11 kHz
At resonance, the maximum charge on the capacitor can be calculated using the formula Q = CV, where C is the capacitance and V is the voltage of the AC source. The maximum voltage of the AC source is 30V, so the maximum charge on the capacitor is:
Q = (20 µF) x (30V) = 0.6 mC
Therefore, the best choice is C, 2.1 mC, since this is approximately the maximum charge on the capacitor at resonance.

Quiz 32: Ac Circuits

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?

A series LRC circuit consists of a 12.0-mH inductor,a 15.0-µF capacitor,a resistor,and a 110-V (rms)ac voltage source.If the impedance of this circuit is 45.0 Ω at resonance,what is its impedance at a frequency twice the resonance frequency?

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?

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?