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Find the magnetic intensity H at the cen...

Find the magnetic intensity `H` at the centre of a long solenoid having `n` turns per unit length and carrying a current `i` (a) when no material is kept in it and (b) when a long copper rod is inserted in the solenoid.

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To solve the problem, we need to find the magnetic intensity \( H \) at the center of a long solenoid under two different conditions: ### Part (a): When no material is kept in the solenoid 1. **Understanding the solenoid**: A long solenoid is a coil of wire that generates a magnetic field when an electric current passes through it. The magnetic field inside a long solenoid is uniform and parallel to the axis of the solenoid. 2. **Formula for magnetic field \( B \)**: The magnetic field \( B \) inside a long solenoid is given by the formula: \[ ...
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