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Exam 30: Alternating Current Circuits

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Question 41

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A series LRC circuit is driven by an ideal sinusoidal AC voltage generator with a peak emf of 12 V.If L = 30.0 mH,R = 200 ohms,and C = 0.040 mF,what is the average power dissipated in the resistor if the circuit is driven at the resonance frequency?

A) 0.016 W
B) 0.21 W
C) 0.36 W
D) 0.72 W
E) 770 W

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Question 42

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An AC source with $\Delta$ V_max = 220 V and f = 60.0 Hz is connected to an RLC series combination.The resistance,R,inductance,L and capacitance,C of this circuit are 80.0 $\varOmega$ ,0.300 H,and 0.02 mF,respectively.The maximum current through the circuit is

A) 5.98 A.
B) 2.75 A.
C) 1.44 A.
D) 2.67 A.
E) 5.56 A.

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Question 43

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A 5.00- $\mu$ F capacitor was fully charged by being connected to a 12.0-V battery.The fully charged capacitor is then connected to an RL series combination with R = 72.0 $\varOmega$ and L= 0.500 H.Calculate the frequency of the damped oscillation of the circuit.

In the circuit shown,R = 100 W,L = 50 mH,C = 10 mF,and the ideal AC emf source has a peak voltage of 120V.What angular frequency $\omega$ should be used to produce the largest current in the resistor?

An LRC oscillator circuit consists of a 50- $\varOmega$ resistor and a 100 nF capacitor.What inductance is necessary for the decay rate of the circuit (the 1/e value) to be equal to the oscillation period?

What is the maximum current when a 220 mH inductor is connected to a 240 V_rms,50-Hz power supply?

A 100 v resistor,a 20 mH inductor and a capacitor are connected in series with a time varying emf of 10.0 V and frequency 1000 Hz.The impedance of the circuit is 339 $\varOmega$ .What is the capacitance of the capacitor?

You want to make an AM radio that can receive electromagnetic waves of frequency 889 kHz.You have an 8- mH inductor.What capacitance would you choose for your radio?

An LC circuit is driven by an AC source at what frequency if the inductor and capacitor have values of 1.5 mH and 22 nF,respectively,and if the rms voltage across each circuit element is half the supply rms voltage?

At what frequency will a 20 mH inductor have a reactance X_L = 500 $\varOmega$ ?

Determine the phase constant and the impedance of the RLC circuit shown in the figure when the frequency of the time-varying emf is 1 kHz,where C = 100 $\mu$ F,L = 10 mH,and R = 100 $\varOmega$ .

A transformer has 1000 turns in its primary coil and 10000 in its secondary coil.If the primary is connected to a 12000-V alternating voltage,the voltage at the secondary will be

A radio tuner has a capacitance of 25.0 nF,and an inductance of 3.00 mH.If the power in the circuit is 3.9 W when the signal produces an rms voltage across the antenna of 1.50 mV and it is at the resonance frequency,what is the resistance of the tuner?

What is the resonance frequency of the series RLC circuit shown in the figure,where C = 4 $\mu$ F,L = 5 mH,and R = 1 k $\varOmega$ ?

The total amount of energy stored in an LC series circuit is 8.00 J.When the current through the inductor is equal to half its maximum value,how much energy is stored in the electric field?

A series LRC circuit is driven by an ideal sinusoidal AC voltage generator with a peak emf of 12 V.If L = 30.0 mH,R = 200 ohms,and C = 0.040 mF,what is the average power dissipated in the resistor if the circuit is driven at a frequency equal to ten times the resonance frequency?

A transformer consists of 2000 coils in its primary core to 1000 coils in its secondary core.What is the ratio of power dissipated in the primary to the secondary?

You are given three series RL circuits: circuit A has resistance R/2,inductance L;circuit B has resistance R,inductance L;and circuit C has resistance 2R and inductance L.Rank in order from largest to smallest quality factors,Q_A,Q_B, and Q_C for the resonant frequency 5 MHz.