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Two inductors in parallel: ratio of the currents through them

The same question, asked 2 times: 12 May 2026 S1, 19 May 2026 S2. Every wording below, oldest first.

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  1. Question 1

    12 May 2026 S1

    135
    Two inductors, L1L_1 and L2L_2, are connected in parallel and time-varying current flows the combination. If I1I_1 and I2I_2 are the currents passing through the inductor L1L_1 and L2L_2 respectively, the ratio I2I1\dfrac{I_2}{I_1} is

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  2. Question 2

    19 May 2026 S2

    136
    Two inductors, L1L_1 and L2L_2 are connected in parallel and a time varying current flows as shown in the figure. The ratio of currents I2I1\dfrac{I_2}{I_1} at any time, it is

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