RLC Circuits – Exercise – 1

11. A 6.8 kΩ resistor, a 7 mH coil, and a 0.02 μF capacitor are in parallel across a 17 kHz ac source. The coil’s internal resistance, R­w, is 30 Ω . The equivalent parallel resistance, R­p(eq), is ________.

(a) 1,878 Ω
(b) 18,780 Ω
(c) 18,750 Ω
(d) 626 Ω

Answer
Answer : (b)
Explanation
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12. If the value of C in a series RLC circuit is decreased, the resonant frequency ________.

(a) is not affected
(b) increases
(c) is reduced to zero
(d) decreases

Answer
Answer : (b)
Explanation
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13. The impedance at the resonant frequency of a series RLC circuit with L = 20 mH, C = 0.02 μF, and R­w = 90 Ω is ________.

(a) 0 Ω
(b) 90 Ω
(c) 20 kΩ
(d) 40 kΩ

Answer
Answer : (b)
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14. A 90 Ω resistor, a coil with 30 Ω of reactance, and a capacitor with 50 Ω of reactance are in series across a 12 V ac source. The current through the resistor is ________.

(a) 9 mA
(b) 90 mA
(c) 13 mA
(d) 130 mA

Answer
Answer : (d)
Explanation
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15. A certain series RLC circuit with a 200 Hz, 15 V ac source has the following values: R = 12 Ω, C = 80 μF, and L = 10 mH. The total impedance, expressed in polar form, is ________.

(a) 12.28 ∠12.34° Ω
(b) 12.57 ∠12.34° Ω
(c) 9.95 ∠12.34° Ω
(d) 12.61 ∠52.34° Ω

Answer
Answer : (a)
Explanation
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