A copper wire is wound on a wooden frame

Asked by admin @ 16/08/2021 in Physics viewed by 275 People

A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of each side of the frame is increased by a factor of 3, keeping the number of turns of the coil per unit length of the frame the same, then 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 9 3

Answered by admin @ 16/08/2021

Given:

The frame increase factor by 3

The number of coils be N

The self inductance of the coil be L

To find:

The increase the in the self inductance of the coil.

Solution:

As the self inductance is directly proportional to the frame factor

L∝ a×N

Now according to the statement a=3a

Then L ∝ 3a×NT

Which means the self inductance will increase by 3

The correct option is C, increases by factor 3

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