avg value and rms value of ac questions with solutions

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• MCQeasyAc Cirucuitsavg value and rms value of ac

  If I=$I_A$ sinωt + $I_B$ cosωt, the rms value of current is:

  Options

  • Option A

    $I_A+I_B$

  • Option B

    √($I_A²+I_B²)$

  • Option C

    √[($I_A²+I_B²)/2]$

  • Option D

    (1/2)√($I_A²+I_B²)$

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  JEE Mains 2025 24 Jan Morning Shift

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• MCQmediumAc Cirucuitsavg value and rms value of ac

  An electric bulb rated 100 W, 220 V is connected to an AC source of rms voltage 220 V. According to the source paper, the peak value of current through the bulb is:

  Options

  • Option A

    2.2 A

  • Option B

    0.32 A

  • Option C

    0.45 A

  • Option D

    0.64 A

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  JEE Mains 2025 3 April Evening Shift

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• MCQmediumAc Cirucuitsavg value and rms value of ac

  Suppose a long solenoid of 100 cm length, radius 2 cm having 500 turns per unit length, carries a current I = 10 sin (ωt) A, where ω = 1000 rad./s. A circular conducting loop (B) of radius 1 cm coaxially slided through the solenoid at a speed v = 1 cm/s. The r.m.s. current through the loop when the coil B is inserted 10 cm inside the solenoid is α/√2 μA. The value of α is _________.

  [Resistance of the loop = 10 Ω]

  Options

  • Option A

    197

  • Option B

    80

  • Option C

    280

  • Option D

    100

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  JEE Mains 202623 January Evening Shift

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• MCQeasyAc Cirucuitsavg value and rms value of ac

  An alternating current is represented by i = 100√2 sin(100πt) A. The RMS current and frequency are:

  Options

  • Option A

    100 A, 50 Hz

  • Option B

    100/√2 A, 100 Hz

  • Option C

    50√2 A, 50 Hz

  • Option D

    100√2 A, 100 Hz

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  JEE Mains 2025 4 April Morning Shift

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• MCQeasyAc Cirucuitsavg value and rms value of ac

  The electric current in the circuit is given as i = i₀(t/T). The r.m.s current for the period t = 0 to t = T is ________.

  Options

  • Option A

    i₀/√2

  • Option B

    i₀

  • Option C

    i₀/√6

  • Option D

    i₀/√3

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  JEE Mains 202628 January Morning Shift

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• MCQmediumAc Cirucuitsavg value and rms value of ac

  An alternating current is represented by i = 5√2 + 10cos(650πt + π/6) ampere. The RMS value of the current is:

  Options

  • Option A

    50 A

  • Option B

    100 A

  • Option C

    10 A

  • Option D

    5√2 A

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  JEE Mains 2025 7 April Morning Shift

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• MCQeasyAc Cirucuitsavg value and rms value of ac

  In an a.c. circuit, voltage and current are given by : V = 100 sin (100 t) V and I = 100 sin (100 t + π/3) mA respectively. The average power dissipated in one cycle is :

  Options

  • Option A

    5 W

  • Option B

    10 W

  • Option C

    2.5 W

  • Option D

    25 W

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  JEE Mains 2024 29 Jan Evening Shift

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• MCQmediumAc Cirucuitsavg value and rms value of ac

  An AC voltage V = 20 sin 200πt is applied to a series LCR circuit which drives a current I = 10 sin(200πt + π/3). The average power dissipated is:

  Options

  • Option A

    21.6 W

  • Option B

    200 W

  • Option C

    173.2 W

  • Option D

    50 W

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  JEE Mains 2024 31 Jan Evening Shift

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• NumericmediumAc Cirucuitsavg value and rms value of ac

  An alternating current at any instant is given by i = [6 + √56 sin(100πt + π/3)] A. The rms value of the current is ______ A.

  Your answer

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  JEE Mains 2024 04 Apr Morning Shift

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