Over a solenoid of 50 cm length and 2 cm radius having 500 turns. Is wound another wire of 50 turns near the centre. Calculate mutual inductance of the two coils. If currents in primary changes From 0 to 5 a in 0.02 s, what is the emf induced in secondary coil ?

Explanation

To solve the problem step by step, we will calculate the mutual inductance of the two coils and then find the induced EMF in the secondary coil when the current in the primary coil changes.

### Step 1: Identify the given parameters
- Length of the solenoid (l) = 50 cm = 0.5 m
- Radius of the solenoid (r) = 2 cm = 0.02 m
- Number of turns in the solenoid (N1) = 500
- Number of turns in the secondary coil (N2) = 50
- Change in current (ΔI) = 5 A (from 0 to 5 A)
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