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 is the same, then the self inductance of the coil :
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Question

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 is the same, then the self inductance of the coil :

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G1 Physics · Accepted Answer

Use εₗ=−L(dI/dt), U=½LI², and for mutual induction ε₂=−M(dI₁/dt). Applying the stated geometry/circuit condition gives Increases by a factor of 3.