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Q.

A coil is wound as 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 increased by a factor of

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a

16

b

12

c

8

d

4

answer is C.

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Detailed Solution

Self inductanceL=μ0N2Aℓ=μ0n2ℓAWhere n is the number of turns per unit length n=Nℓand N is the total number of turnsn=Nℓ⇒N=nℓ . In the given question n is same. A is increased 4 times and l is increased 2times and hence L will be increased 8 times
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A coil is wound as 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 increased by a factor of