Calculate the self-inductance of an air-cored solenoid 50 cm long and 2 cm radius if the number of turns in the coil of solenoid is 400.

Explanation

To calculate the self-inductance of an air-cored solenoid, we can use the formula:

\[ L = \frac{\mu_0 n^2 A}{l} \]

Where:
- \( L \) = self-inductance (in Henry)
- \( \mu_0 \) = permeability of free space = \( 4\pi \times 10^{-7} \, \text{H/m} \)
- \( n \) = number of turns per unit length (in turns/meter)
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