Series RC, RL, LC, LCR, Resonance, Quality Factor and Bandwidth questions with solutions

Showing 1–10 of 48 questions

• Multi-correctmediumAC CircuitsSeries RC, RL, LC, LCR, Resonance, Quality Factor and Bandwidth

  A series LCR circuit is at resonance. The capacitance is changed from C to 4C while the source frequency remains fixed. Which statements are correct in the new steady state?

  Select all that apply

  • Option A

    Xᴄ becomes one-fourth of its original value

  • Option B

    Xʟ remains unchanged

  • Option C

    The circuit becomes inductive

  • Option D

    The current becomes smaller than the original resonant current

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• NumericeasyAC CircuitsSeries RC, RL, LC, LCR, Resonance, Quality Factor and Bandwidth

  A series RL circuit has R = 30 Ω and Xʟ = 40 Ω. It is connected to a 250 V RMS source. Calculate the RMS voltage across the inductor in volt.

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• A/RmediumAC CircuitsSeries RC, RL, LC, LCR, Resonance, Quality Factor and Bandwidth

  Read the following assertion and reason and choose the correct option.

  Assertion

  Assertion (A): The voltage across the inductor in a series LCR circuit can be greater than the applied source voltage.

  Reason

  Reason (R): The voltages Vᵣ, Vʟ and Vᴄ are always added as ordinary algebraic numbers.

  Options

  • Option A

    Both A and R are true and R is the correct explanation of A.

  • Option B

    Both A and R are true but R is NOT the correct explanation of A.

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

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• MCQeasyAC CircuitsSeries RC, RL, LC, LCR, Resonance, Quality Factor and Bandwidth

  A capacitor of capacitance C = 100 μF is connected to a 50 Hz AC source. Taking π = 3.14, determine Xᴄ to the nearest ohm.

  Options

  • Option A

    16 Ω

  • Option B

    32 Ω

  • Option C

    63 Ω

  • Option D

    100 Ω

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• NumericmediumAC CircuitsSeries RC, RL, LC, LCR, Resonance, Quality Factor and Bandwidth

  A series RC circuit carries 5 A RMS. The RMS voltage across R is 60 V and the applied RMS voltage is 100 V. Determine Xᴄ in ohm.

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• MCQmediumAC CircuitsSeries RC, RL, LC, LCR, Resonance, Quality Factor and Bandwidth

  A series LCR circuit has L = 0.20 H and C = 50 μF. Which value is closest to its resonant angular frequency?

  Options

  • Option A

    100 rad/s

  • Option B

    200 rad/s

  • Option C

    316 rad/s

  • Option D

    500 rad/s

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• MCQmediumAC CircuitsSeries RC, RL, LC, LCR, Resonance, Quality Factor and Bandwidth

  A series LCR circuit is at resonance with a 100 V RMS source. If R = 10 Ω and Xʟ = 200 Ω at resonance, determine Vʟ.

  Options

  • Option A

    100 V

  • Option B

    200 V

  • Option C

    1000 V

  • Option D

    2000 V

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• MCQeasyAC CircuitsSeries RC, RL, LC, LCR, Resonance, Quality Factor and Bandwidth

  A series RC circuit is connected to a 50 V RMS source. If the RMS voltage across the capacitor is 40 V, determine the RMS voltage across the resistor.

  Options

  • Option A

    10 V

  • Option B

    20 V

  • Option C

    30 V

  • Option D

    90 V

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• MCQeasyAC CircuitsSeries RC, RL, LC, LCR, Resonance, Quality Factor and Bandwidth

  In a series RL circuit, the RMS voltage across the resistor is equal to the RMS voltage across the inductor. What is the power factor of the circuit?

  Options

  • Option A

    1/2

  • Option B

    1/√2

  • Option C

    √3/2

  • Option D

    1

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• MCQmediumAC CircuitsSeries RC, RL, LC, LCR, Resonance, Quality Factor and Bandwidth

  A series resonant circuit has L = 0.50 H, R = 10 Ω and quality factor Q = 50. Determine the capacitance C.

  Options

  • Option A

    2 μF

  • Option B

    5 μF

  • Option C

    20 μF

  • Option D

    50 μF

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