RLC Circuits and Resonance

37 MCQs

MCQs

37 questions · 35 min · 37 marks

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Sample questions

The first 5 of 37. Try each one, then tap to see the answer.

  1. Question 1

    The impedance of an RLC series circuit is:

    • AZ = R + XL + Xc
    • BZ = sqrt(R² + (XL + Xc)²)
    • CZ = R + (XL - Xc)
    • DZ = sqrt(R² + (XL - Xc)²)
    Show answer

    Answer: D

    XL and Xc act in opposite directions so the net reactance is XL - Xc.

  2. Question 2

    At high frequency an RLC series circuit behaves like an:

    • ARC series circuit
    • BRL series circuit
    • CPure resistor
    • DOpen circuit
    Show answer

    Answer: B

    At high frequency XL is much larger than Xc so inductance dominates.

  3. Question 3

    At low frequency an RLC series circuit behaves like an:

    • ARC series circuit
    • BRL series circuit
    • CPure inductor
    • DShort circuit
    Show answer

    Answer: A

    At low frequency Xc is much larger than XL so capacitance dominates.

  4. Question 4

    The resonance condition in an RLC series circuit is:

    • AXL = R
    • BXc = R
    • CXL = Xc
    • DXL = 2Xc
    Show answer

    Answer: C

    At resonance the inductive and capacitive reactances are equal and opposite.

  5. Question 5

    The resonance frequency of an RLC series circuit is:

    • Af0 = 2π sqrt(LC)
    • Bf0 = 1/(2π sqrt(LC))
    • Cf0 = sqrt(LC)/2π
    • Df0 = 1/(LC)
    Show answer

    Answer: B

    Setting ωL = 1/ωC gives f0 = 1/(2π sqrt(LC)).

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