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Question

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 remains the same, the self inductance increases by a factor of

A
4
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B
8
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C
12
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D
16
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Solution

The correct option is B 8
We have, self inductance, L=μ0n2AI
Given, n/I is constant, doubling the length would double n also. Besides this, area would become four times on doubling linear dimensions.
So, L2L1=n22n21A2A1×I1I2
Here, L2L1=4×4×12=8
L2=8L1.

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