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Home Electrical Engineering RLC Circuits and Resonance Comments

  • Question
  • 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

  • Correct Answer
  • 12.28∠12.34° Ω 


  • RLC Circuits and Resonance problems


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    • 1. 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
    • 2. 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
    • 3. 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
    • 4. 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
    • 5. In a series RLC circuit that is operating above the resonant frequency, the current

    • Options
    • A. lags the applied voltage
    • B. leads the applied voltage
    • C. is in phase with the applied voltage
    • D. is zero
    • Discuss
    • 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
    • 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
    • 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
    • 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
    • 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


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