A coil is wound on a transformer of rectangular $$cross-section$$. If all the linear dimensions of the transformer are increased by a factor $$2$$ and the number of turns per unit length of the coil remain the same, the $$self-inductance$$ is increased by a factor of

Question

Infinity Learn · Accepted Answer

$$Self-inductance$$, $$L=$$μ$$0N2A/l=$$μ$$0n2lAWhere$$ n is the number of turns per unit length and N is the total number of turns, i.e., N $$=$$ nlIn the given question n is same. A is increased $$4$$ times and l is increased $$2$$ times and hence L will be increased $$8$$ times.

A coil is wound on a transformer of rectangular cross-section. If all the linear dimensions of the transformer are increased by a factor 2 and the number of turns per unit length of the coil remain the same, the self-inductance is increased by a factor of

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