Over a solenoid of 50cm length and 2cm radius and having 500turns is would another wire of 50 turns near the centre. Calculate
(i) mutual inductance of the two coils
(ii) Induced emf in the second coil when the current in the primary changes from 0 to 5A in 0.02 sec.

Explanation

To solve the given problem, we will break it down into two parts: calculating the mutual inductance of the two coils and then calculating the induced emf in the second coil.

### Step 1: Calculate Mutual Inductance (M)

The formula for mutual inductance \( M \) between two coils is given by:

\[
M = \frac{\mu_0 \cdot N_1 \cdot N_2 \cdot A}{L}
...