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  • 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 tunrs per unit length of the coil remain

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 tunrs per unit length of the coil remains the same, the self inductance increases by a factor of

Option: 1

16


Option: 2

12


Option: 3

8


Option: 4

4


Answers (1)

best_answer

\mathrm{ \mathrm{L}=\mu_0 \mathrm{~N}^2 \mathrm{~A} / \mathrm{l}=\mu_0(\mathrm{~N} / 1)^2 \mathrm{Al} }
Here \mathrm{(\mathrm{N} / \mathrm{l}) } remains unchanged. When linear dimensions are increased by a factor 2, area becomes 4 times and the length becomes two times. Therefore, the coefficient of self induction becomes 8 times.

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