RLC Circuits and Resonance problems
- 1. In a certain series resonant circuit, VC = 125 V, VL = 125 V, and VR = 40 V. The value of the source voltage is
Options- A. 125 V
- B. 250 V
- C. 290 V
- D. 40 V Discuss
Correct Answer: 40 V
- 2. A 10 Ω resistor, a 90 mH coil, and a 0.015 µF capacitor are in series across an ac source. The impedance magnitude at 1,200 Hz below fr is
Options- A. 1,616 Ω
- B. 161 Ω
- C. 3,387 Ω
- D. 1,771 Ω Discuss
Correct Answer: 1,616 Ω
- 3. If the resistance in parallel with a parallel resonant circuit is reduced, the bandwidth
Options- A. disappears
- B. becomes sharper
- C. increases
- D. decreases Discuss
Correct Answer: decreases
- 4. 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
Options- A. 1,878 Ω
- B. 18,780 Ω
- C. 18,750 Ω
- D. 626 Ω Discuss
Correct Answer: 18,780 Ω
- 5. 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
Options- A. 12.28∠12.34° Ω
- B. 12.57∠12.34° Ω
- C. 9.95∠12.34° Ω
- D. 12.62∠12.34° Ω Discuss
Correct Answer: 12.28∠12.34° Ω
- 6. 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
Options- A. 60 V
- B. 660 V
- C. 30 V
- D. 300 V Discuss
Correct Answer: 300 V
- 7. To tune a parallel resonant circuit to a higher frequency, the capacitance should be
Options- A. increased
- B. decreased
- C. left alone
- D. replaced with inductance Discuss
Correct Answer: decreased
- 8. The impedance at the resonant frequency of a series RLC circuit with L = 20 mH, C = 0.02 µF, and RW = 90 Ω is
Options- A. 0 Ω
- B. 90 Ω
- C. 20 kΩ
- D. 40 kΩ Discuss
Correct Answer: 90 Ω
- 9. A 12 Ω resistor, a 40 µF capacitor, and an 8 mH coil are in series across an ac source. The resonant frequency is
Options- A. 28.1 Hz
- B. 281 Hz
- C. 2,810 Hz
- D. 10 kHz Discuss
Correct Answer: 281 Hz
- 10. Referring to Problem 8, the total current is
Options- A. 1.5 A
- B. 573 mA
- C. 5.73 A
- D. 1.19 A Discuss
Correct Answer: 5.73 A
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