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 will break down the tasks as follows:

### Step 1: Identify Given Values
- Self-inductance of the first inductor, \( L_1 = 12 \, \text{mH} = 12 \times 10^{-3} \, \text{H} \)
- Self-inductance of the second inductor, \( L_2 = 30 \, \text{mH} = 30 \times 10^{-3} \, \text{H} \)
- The rate of change of current, \( \frac{di}{dt} \), is the same for both inductors.

### Step 2: Calculate the Induced EMF
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