RLC Circuits – Exercise – 1

6. A 15 Ω resistor, an inductor with 8 Ω inductive reactance, and a capacitor with 12 Ω capacitive reactance are in parallel across an ac voltage source. The circuit impedance is ________.

(a) 12.7 Ω
(b) 127 Ω
(c) 4,436 Ω
(d) 6,174 Ω

Answer
Answer : (a)
Explanation
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7. A 24 Ω resistor, an inductor with a reactance of 120 Ω, and a capacitor with a reactance of 120 Ω are in series across a 60 V source. The circuit is at resonance. The voltage across the inductor is ________.

(a) 60 V
(b) 660 V
(c) 30 V
(d) 300 V

Answer
Answer : (d)
Explanation
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8. A resonant circuit has a lower critical frequency of 7 kHz and an upper critical frequency of 13 kHz. The bandwidth of the circuit is ________.

(a) 7 kHz
(b) 13 kHz
(c) 20 kHz
(d) 6 kHz

Answer
Answer : (d)
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9. A 9 mH coil is in parallel with a 0.015 μF capacitor across an 18 kHz ac source. The coil’s internal resistance, RW, is 60 Ω. The circuit impedance is ________.

(a) 17,340 Ω
(b) 1,734 Ω
(c) 290 Ω
(d) 1,018 Ω

Answer
Answer : (a)
Explanation
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10. A 200 Ω resistor, a coil with 30 Ω of reactance, and a capacitor of unknown reactance are in series across an ac source. The circuit is at resonance. Circuit impedance ________.

(a) is 230 Ω
(b) is 170 Ω
(c) is 200 Ω
(d) cannot be determined

Answer
Answer : (c)
Explanation
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