The current through two inductors of self inductance 12 mH and 30 mH is increasing with time at the same rate. Draw graphs showing the variation of the (a ) e.m.f. induced with the rate of change of current in each inductor. (b) enargy stored in each inductor with the current flowing through it.
Compare the energy stored in the coils if power dissipated in the coil is same.

Explanation

To solve the problem step by step, we need to analyze the two parts of the question: (a) the induced e.m.f. in each inductor and (b) the energy stored in each inductor.

### Part (a): Induced e.m.f. in Each Inductor

1. **Identify the Self-Inductance Values**:
- For the first inductor (L1): \( L_1 = 12 \, \text{mH} = 12 \times 10^{-3} \, \text{H} \)
- For the second inductor (L2): \( L_2 = 30 \, \text{mH} = 30 \times 10^{-3} \, \text{H} \)

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