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Multiple Choice Quiz
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1
A series circuit consisting of an uncharged 2.0-µF capacitor and a 10-MW resistor is connected across a 100-V power source. What are the current in the circuit and the charge on the capacitor (a) after one time constant, and (b) when the capacitor has acquired 90 percent of its final charge?
A)(a) 10.0 µA, 0.2 mC (b) 9.0 µA, 45.0 mC
B)(a) 27.0 µA, 0.54 mC (b) 4.0 µA, 18.0 nC
C)(a) 3.7 µA, 0.13 mC (b) 1.0 µA, 0.18 mC
D)(a) 37.0 kA, 0.10.4 mC (b) 24.6 µA, 0.22 mC
2
A charged capacitor is connected across a 10-kW resistor and allowed to discharge. The potential difference across the capacitor drops to 0.37 of its original value after a time of 7.0 s. What is the capacitance of the capacitor?
A)1.89 mF
B)0.19 mF
C)0.70 mF
D)0.37 mC
3
A coil has resistance of 20 W and inductance of 0.35 H. Compute its reactance and its impedance to an alternating current of 25 cycles/s.
A)55W, b) 59 W
B)2.2W, b) 75 W
C)157W, b) 3425 W
D)0.018W, b) 51 W
4
A coil has an inductance of 0.100 H and resistance of 12.0 W. It is connected to a 110-V, 60.0-Hz line. Determine (a) the reactance of the coil, (b) the impedance of the coil, (c) the current through the coil, (d) the phase angle between current and supply voltage.
A)a) 377W (b) 49.7W (c) 2.92 A (d) voltage leads by 17.7°;
B)a) 0.027W (b) 1565W (c) 9.17 A (d) voltage leads by 72.3°;
C)(a) 37.7W (b) 39.6W (c) 2.78 A (d) voltage leads by 3.14°;
D)a) 0.628W (b) 35.7W (c) 4356 A (d) voltage lags by 72.3°;
5
A 10.0-µF capacitor is in series with a 40.0-W resistance, and the combination is connected to a 110-V, 60.0-Hz line. Calculate (a) the capacitive reactance, (b) the impedance of the circuit, (c) the current in the circuit, (d) the phase angle between current and supply voltage.
A)(a) 0.0038W (b) 305W (c) 0.415 A (d) voltage lags by 8.58°
B)(a) 266W (b) 269W (c) 0.409 A (d) voltage lags by 81.4°
C)(a) 16 kW (b) 72 kW (c) 2.75 A (d) voltage lags by 6.63°
D)(a) 2.6 kW (b) 262W (c) 0.256 MA (d) voltage leads by 81.4°
6
A circuit having a resistance, an inductance, and a capacitance in series is connected to a 110-V ac line. For the circuit, R=9.0 W, XL=28 W, and Xc=16 W. Compute (a) the impedance of the circuit, (b) the current, (c) the phase angle between the current and supply voltage.
A)(a) 15W (b) 7.3 A (c) voltage leads by 53°
B)(a) 33.5W (b) 12.2 A (c) voltage leads by 37°
C)(a) 225W (b) 0.49 A (c) voltage leads by 6.3°
D)(a) 45W (b) 1650 A (c) voltage lags by 53°
7
An experimenter has a coil of inductance 3.0 mH and wishes to construct a circuit whose resonant frequency is 1.0 MHz. What should be the value of the capacitor used?
A)8.4 F
B)8.4 µF
C)0.25 pF
D)8.4 pF
8
A circuit has a resistance of 11 W, a coil of inductive reactance 120 W, and a capacitor with a 120-W reactance, all connected in series with a 110-V, 60-Hz power source. What is the potential difference across each circuit element?
A)(a) VR = 110 V, (b) VL = VC = 1.2 kV
B)(a) VR = 120 V, (b) VL = VC = 2.4 kV
C)(a) VR = 4.8 V, (b) VL = VC = 0 kV
D)(a) VR = 5.0 V, (b) VL = VC = 8.0 V
9
A current of 30 mA is taken by a 4.0-µF capacitor connected across an alternating current line having a frequency of 500 Hz. Compute the reactance of the capacitor and the voltage across the capacitor.
A)(a) 0.32 milliohm, (b) 0.38 mV
B)(a) 2.0 milliohm, (b) 2400 V
C)(a) 0.013 ohm, (b) 2.4 V
D)(a) 80 ohm, (b) 0.12 V
10
A coil of negligible resistance is connected in series with a 90-W resistor across a 120-V, 60-Hz line. A voltmeter reads 36 V across the resistance. Find the voltage across the coil and the inductance of the coil.
A)(a) 114 V, (b) 0.76 H
B)(a) 74 V, (b) 4.8 H
C)(a) 156 V, (b) 46 H
D)(a) 120 V, (b) 0.12 H







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