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

Showing 1–10 of 48 questions

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

  In a series RC circuit, the measured RMS voltages are Vᵣ = 60 V and Vᴄ = 80 V. Determine the applied RMS voltage and the power factor of the circuit.

  Options

  • Option A

    140 V and 3/7

  • Option B

    100 V and 3/5

  • Option C

    100 V and 4/5

  • Option D

    20 V and 3/5

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

  A series RC circuit contains R = 20 Ω and C = 250 μF. It is connected to v = 100 sin(200t) V. Determine the steady-state current.

  Options

  • Option A

    (5/√2) sin(200t + 45°) A

  • Option B

    (5/√2) sin(200t - 45°) A

  • Option C

    5 sin(200t + 45°) A

  • Option D

    2.5 sin(200t + 45°) A

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

  A series LCR circuit is at resonance with a 200 V RMS source and has R = 25 Ω. Calculate the average power consumed in watt.

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

  A series LCR circuit is operated at either of its half-power frequencies. Which statements are correct?

  Select all that apply

  • Option A

    The current is Iₘₐₓ/√2

  • Option B

    The average power is Pₘₐₓ/2

  • Option C

    |Xʟ - Xᴄ| = R

  • Option D

    The magnitude of the power factor is 1/√2

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

  A series RL circuit has an impedance magnitude of 50 Ω and a power factor of 0.6. Determine the resistance R in ohm.

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

  At resonance in a series LCR circuit, Vʟ = Vᴄ = 500 V while the applied RMS voltage is 100 V. If R = 20 Ω, determine Xʟ at resonance in ohm.

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

  A series LCR circuit has resonant frequency 1000 Hz and bandwidth 50 Hz. Determine its quality factor.

  Options

  • Option A

    5

  • Option B

    10

  • Option C

    20

  • Option D

    50

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

  A series LCR circuit has R = 20 Ω, Xʟ = 60 Ω and Xᴄ = 40 Ω. It is connected to v = 200 sinωt V. Which statements are correct?

  Select all that apply

  • Option A

    The current amplitude is 5√2 A

  • Option B

    The current lags the voltage by 45°

  • Option C

    The peak voltage across R is 100√2 V

  • Option D

    The peak voltage across L is 300√2 V

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

  A series circuit contains R = 8 Ω, Xʟ = 15 Ω and Xᴄ = 9 Ω and carries an RMS current of 10 A. If the source voltage is written as 10√N V, determine N.

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

  Match each resonance quantity in List 1 with its correct expression in List 2 and choose the correct option.

  List 1

  1. Resonant angular frequency

  2. Quality factor

  3. Angular-frequency bandwidth

  4. Maximum current at resonance

  List 2

  1. 1/√(LC)

  2. ω₀L/R

  3. R/L

  4. V/R

  Options

  • Option A

    P-1, Q-2, R-3, S-4

  • Option B

    P-2, Q-3, R-4, S-1

  • Option C

    P-3, Q-1, R-2, S-4

  • Option D

    P-4, Q-2, R-1, S-3

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