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A copper wire is wound on a wooden fra...

A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle .If the number of turns of the coil per units length of the frame remains the same but the linear dimension of the frame is increased to 3 times , then the self inductance of the coil:

A

decreases by a factor of 9

B

increases by a factor of 27

C

increases by a factor of 3

D

decreases by a factor of `9sqrt(3)`

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