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Potential difference across a branch with an inductor while the current changes

This type of question, asked 4 times: 12 May 2024 S1, 16 Apr 2026 S2, 18 Apr 2026 S1, 20 Apr 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    12 May 2024 S1

    38
    In the given circuit, if dIdt=−1 A/s\frac{dI}{dt}=-1\,\text{A/s} then the value of VA−VBV_{A}-V_{B} at this instance will be

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  2. Question 2

    16 Apr 2026 S2

    136
    In the given circuit, if dI/dt=−1dI/dt = -1 A/s then the value of VABV_{AB} at this instant will be

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  3. Question 3

    18 Apr 2026 S1

    135
    In the circuit shown, when the current 'ii' is 33 A and increasing at the rate of 1 A/s1\ \mathrm{A/s} the measurement of the potential difference between A and B is 1212 V. But when the same current 33 A is decreasing at the rate of 1 A/s1\ \mathrm{A/s}, the measured potential difference VABV_{AB} between A and B is 66 V. The value of 'R' in the circuit is

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  4. Question 4

    20 Apr 2026 S1

    139
    In the circuit shown charge q varies with time t as q=t2−5q = t^2 - 5, where q is in coulomb and t is in second. At time t=3t = 3 second, voltage VABV_{AB} in volt will be

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