A conducting wire of 100 turns is wound over and near the centre of a solenoid of 100cm length and 2cm radius having 1000 turns. Calculate the mutual induction of the two coils.

Explanation

To calculate the mutual inductance (M) of the two coils, we can use the formula:

\[ M = \frac{\mu_0 \cdot N_1 \cdot N_2 \cdot A}{l} \]

Where:
- \( \mu_0 \) is the permeability of free space, which is approximately \( 4\pi \times 10^{-7} \, \text{H/m} \).
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