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JEE Main 2019 (9 Apr, Shift 1) · Self-Inductance & Energy

Self-Inductance & Energy question from JEE Main 2019 (9 Apr, Shift 1)

Q74JEE Main 2019 · 9 APR · SHIFT 1Medium

Self-Inductance & Energy

The total number of turns and cross-section area in a solenoid is fixed. However, its length L is varied by adjusting the separation between windings. The inductance of solenoid will be proportional to:

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Answer: (b)

$L = \dfrac{\mu_0 N^2 A}{L_{\text{len}}}$ with total $N$ and $A$ fixed.
So inductance $\propto \dfrac{1}{L}$ .
So the answer is (b) $1/L$ .

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