A solenoid is of length `50 cm` and has a radius of `2cm`. It has `500` turns. Around its central section a coil of `50` turns is wound. Calculate the mutual inductance of the system.

Explanation

To calculate the mutual inductance of the system consisting of a solenoid and a coil wound around it, we will follow these steps:

### Step 1: Identify the parameters of the solenoid
- 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 turns

### Step 2: Calculate the number of turns per unit length (n₁) of the solenoid
...