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  4. The self-inductance of a solenoid of length l, area of cross-section A and having N turns is

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Q. The self-inductance of a solenoid of length $ l, $ area of cross-section $A$ and having $N$ turns is

Chhattisgarh PMTChhattisgarh PMT 2004

Solution:

Self-inductance $L=\mu_{0} n^{2} l A$
where $n=\frac{N}{l}$ (turns per unit length)
$\therefore L=\frac{\mu_{0} N^{2}}{l^{2}} . l A=\frac{\mu_{0} N^{2} A}{l}$