AC Circuits questions with solutions

Showing 1–10 of 290 questions

• IntegerdifficultAC CircuitsParallel AC Circuits: Impedance, Admittance and Resonance

  In the AC circuit shown in the original figure, R = 100 kΩ and C = 100 pF. The phase difference between $V_in$ and ($V_B-V_A)$ is 90°. The input angular frequency is 10ˣ rad/s. Find x.

  

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  JEE Mains 2025 7 April Morning Shift

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• MCQeasyAC CircuitsSeries AC Circuits: Impedance, Phase Difference, Resonance and Power Factor

  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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• MCQeasyAC CircuitsSeries AC Circuits: Impedance, Phase Difference, Resonance and Power Factor

  A 40 μF capacitor is connected to 200 V, 50 Hz AC supply. The RMS current is approximately:

  Options

  • Option A

    2.05 A

  • Option B

    2.5 A

  • Option C

    25.1 A

  • Option D

    1.7 A

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  NEET 2026

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• MCQmediumAC Circuits

  An RLC circuit has an inductance of 25mH and a capacitance of 5.0μF. The charge on the capacitor does NOT oscillate but rather decays exponentially to zero. The resistance in the circuit must be:

  Options

  • Option A

    R≥100√2 Ω

  • Option B

    50√2 Ω<R<100√2 Ω

  • Option C

    25√2 Ω<R<50√2 Ω

  • Option D

    0<R<25√2 Ω

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• NumericmediumAC Circuits

  A series R-C combination is connected to an AC source of angular frequency ω=500 rad s⁻¹. If the impedance magnitude is R√1.25, find the time constant in milliseconds.

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  JEE Advanced

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• MCQmediumAC Circuits

  In the shown series LR circuit, the applied voltage is V=V₀sinωt+(V₀/2)cosωt. The current amplitude is:

  

  Options

  • Option A

    √5V₀/[2√(ω²L²+R²)]

  • Option B

    V₀/[2√(ω²L²+R²)]

  • Option C

    √5V₀/[2√(ω²L²-R²)]

  • Option D

    √5V₀/[2√(R²-ω²L²)]

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• MCQmediumAC Circuits

  In a series LR circuit Xₗ=3R. A capacitor with X꜀=R is added in series. The ratio of the new power factor to the old power factor is:

  Options

  • Option A

    1

  • Option B

    2

  • Option C

    1/√2

  • Option D

    √2

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• MCQmediumAC CircuitsSeries AC Circuits: Impedance, Phase Difference, Resonance and Power Factor

  Given below are two statements :

  Statement I : In an LCR series circuit, current is maximum at resonance.

  Statement II : Current in a purely resistive circuit can never be less than that in a series LCR circuit when connected to same voltage source.

  In the light of the above statements, choose the correct from the options given below :

  Options

  • Option A

    Statement I is true but Statement II is false

  • Option B

    Statement I is false but Statement II is true

  • Option C

    Both Statement I and Statement II are true

  • Option D

    Both Statement I and Statement II are false

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  JEE Mains 2024 06 Apr Morning Shift

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• NumericmediumAC Circuits

  Two LR circuits are magnetically coupled as shown. The self-inductances, resistances, mutual inductance and battery voltages are given in the figure. After both switches are closed simultaneously, find the total work done by the batteries against induced emf until steady state, in mJ.

  

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  JEE Advanced 2020

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• NumericmediumAC Circuits

  In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance CuF across a 200V, 50Hz supply. The power consumed by the lamp is 500W while the voltage drop across it is 100V. Assume that there is no inductive load in the circuit. Take rms values of the voltages. The magnitude of the phase-angle (in degrees) between the current and the supply voltage is j. Assume,

  1V3 =5.The value of j is______.

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  JEE Advanced 2021

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