Alternating Current Circuits
Multiple Choice
1. An ac generator with peak voltage 100 volts is placed across a 10-Ω resistor. What is the average power dissipated?
a. 100 W
b. 150 W
c. 500 W
d. 1000 W
e. 2000 W
2. 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. 11Ω, 10 A (rms)
b. 110Ω, 10 A (rms)
c. 10Ω, 11 A (rms)
d. 10Ω, 110 A (rms)
e. 0.09Ω, 11 A (rms)
3. 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. 12.2Ω, 0.90 A (rms)
b. 10Ω, 1.0 A (rms)
c. 110Ω, 1.0 A (rms)
d. 121Ω, 0.90 A (rms)
e. 11Ω, 1.1 A (rms)
4. 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 0.050Ω/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
219 220 CHAPTER 33
5. A 230 000 V-rms powerline carries an average power PAV = 250 MW a distance of 200 km. If the total resistance of the cables is 10 ohms, what is the resistive power loss?
a. 1.0 MW
b. 2.5 MW
c. 5.4 MW
d. 12 MW
e. 10 kW
6. Inductive reactance XL is given by
a. Lω
b. L/ω
c. 1/Lω
d. ω/L
e. ω2L
7. Capacitive reactance XC is given by
a. 1/ωC
b. ωC
c. ω/C
d. C/ω
e. 1/ω2C
8. The total impedance Z of an RLC circuit driven by an ac voltage source at angular frequency ω is,
a.
b.
222)(CXLR−+ω c.
22)(CLXXR−+ d.
22)(1CLXXR−+ e.
9. At what frequency will a 12-μF capacitor have a reactance XC = 300Ω?
a. 44 Hz
b. 88 Hz
c. 176 Hz
d. 352 Hz
e. 278 Hz Alternating Current Circuits 221
10. At what frequency will a 50-mH inductor have a reactance XL = 700Ω?
a. 352 Hz
b. 777 Hz
c. 1.25 kHz
d. 2.23 kHz
e. 14 kHz
11. A 2-μF capacitor in series with a