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MHT CET 2025 (21 Apr, Shift 2) · Self-Inductance & Energy

Self-Inductance & Energy question from MHT CET 2025 (21 Apr, Shift 2)

Q28MHT CET 2025 · 21 APR · SHIFT 2Medium

Self-Inductance & Energy

A coil is wound on a core of rectangular cross-section. If all the linear dimensions of core are increased by a factor 3 and number of turns per unit length of coil remains same, the self- inductance increases by a factor

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Answer: (d)

$L = \mu_0 n^2 A l$ with $n$ (turns per unit length) fixed, so $L \propto A l$ .
Linear size $\times 3$ : $A \times 9$ , $l \times 3$ , so $L \times 27$ .
So the answer is (d) 27.

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