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Time for an AC current to go between two given values

This type of question, asked 5 times: 2021 Paper 9, 2021 Paper 15, 14 Jun 2022, 27 Jun 2022, 30 Jan 2024. All 5 questions below, oldest first.

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  1. Question 1

    2021 Paper 9

    17
    An AC source rated 220 V,50 Hz220\text{ }V,50\text{ }Hz is connected to a resistor. The time taken by the current to change from its maximum to the rms value is:

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  2. Question 2

    2021 Paper 15

    18
    In an AC circuit having resistance of 10Ω10\Omega, find the time taken by current to reach RMS value from maximum value. Frequency and RMS voltage of the source is 50 Hz50\text{ }Hz and 220 V220\text{ }V respectively.

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  3. Question 3

    14 Jun 2022

    11
    A resistance of 40Ω40\Omega is connected to a source of alternating current rated 220 V,50 Hz220\text{ }V,50\text{ }Hz. Find the time taken by the current to change from its maximum value to rms value:

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  4. Question 4

    27 Jun 2022

    11
    The current flowing through an ac circuit is given by
    I=5sin⁡(120πt)AI = 5\sin(120\pi t)A
    How long will the current take to reach the peak value starting from zero?

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  5. Question 5

    30 Jan 2024

    98
    An alternating voltage V(t)=220sin⁡100πtV(t) = 220\sin100\pi t volt is applied to a purely resistive load of 50Ω50\Omega. The time taken for the current to rise from half of the peak value to the peak value is:

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