A cooper 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 the self inductance of the coil?
A
Decrease by a factor of 9
B
Increase by a factor of 27
C
Decrease by a factor of 3
D
Increases by a factor of 
Text Solution
Verified by ExpertsThe correct answer is:
C
JEE MAIN 2019
As total length L of the wire will remain constant
and length of winding 
(d = diameter of wire)
Self-inductance 
Self-inductance 
Now, ‘a’ increased to ‘3a’
So self-inductance will become 3 times.
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