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Two coils with currents rising at the same rate and equal power: ratio of energies stored

The same question, asked 2 times: 17 Apr 2026 S1*, 19 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    17 Apr 2026 S1

    134
    Two coils have self inductance L1L_1 and L2L_2. The current through them is increasing at constant rate. If the power dissipated in both the coils is same, then the ratio of energy stored in the coil having inductance L1L_1 to that in L2L_2 is

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  2. Question 2

    19 Apr 2026 S1

    134
    Two different coils have self-inductance 3L3L and LL. The current in both the coils is increased at the same constant rate. At certain instant of time, the power given to the two coils is same. At that time there was current and voltage induced in the two coils. At the same instant, the ratio of energy stored in the first coil to that in the second coil is

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