A 10.0-F capacitor is plugged into a 110 V rms 60.0-Hz voltage source, with an ammeter in series. What is the rms value of the current through the capacitor?
a. 0.202 A (rms)
b. 0.415 A (rms)
c. 0.626 A (rms)
d. 0.838 A (rms)
e. 0.066 A (rms)
[Ques. 2] A 2.0-F capacitor in series with a 2.0-k resistor is connected to a 60-Hz AC source. Calculate the impedance of the circuit.
a. 1500 ohms
b. 1800 ohms
c. 2100 ohms
d. 2400 ohms
e. 8600 ohms
[Ques. 3] At what frequency will a 50.0-mH inductor have a reactance XL = 700 ?
a. 352 Hz
b. 777 Hz
c. 1.25 kHz
d. 2.23 kHz
e. 14 kHz
[Ques. 4] At what frequency will a 12-F capacitor have a reactance XC = 300 ?
a. 44 Hz
b. 88 Hz
c. 180 Hz
d. 350 Hz
e. 280 Hz
[Ques. 5] A high-voltage powerline operates at 500,000 V rms and carries an rms current of 500 A. If the resistance of the cable is 0.050 /km, what is the resistive power loss in 200 km of the powerline?
a. 250 kW
b. 500 kW
c. 1 megawatt
d. 2.5 megawatts
e. 250 megawatts
[Ques. 6] An incandescent lightbulb is rated at 100 watts when plugged into a 110 V rms household outlet. Calculate the resistance of the filament and the rms current.
a. 12.2 , 0.91 A (rms)
b. 10 , 1.0 A (rms)
c. 110 , 1.0 A (rms)
d. 121 , 0.91 A (rms)
e. 11 , 1.1 A (rms)
[Ques. 7] An electric heater draws an average power of 1100 watts when plugged into a 110 V rms outlet. Calculate the resistance of the heater and the rms current.
a. 11 , 10 A (rms)
b. 110 , 10 A (rms)
c. 10 , 11 A (rms)
d. 10 , 110 A (rms)
e. 0.09 , 11 A (rms)
[Ques. 8] An AC generator with peak voltage 100 volts is placed across a 10- resistor. What is the average power dissipated?
a. 100 W
b. 150 W
c. 500 W
d. 1000 W
e. 2000 W
[Ques. 9] If we wished to construct a tank circuit where electric charge originally stored on a capacitor flows through an inductor, then back again, what value of inductance should we place in series with a fully-charged 100-F capacitor to get the circuit to resonate at 60.0 Hz?
[Ques. 10] A 10-mH inductor is connected in series with a 10-ohm resistor, a switch and a 6-volt battery. What is the time constant of the circuit? How long after the switch is closed will the current reach 99 percent of its final value?
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