A square loop of side a moves with speed v along the x-axis in a perpendicular field B(x)=B₀+kx. When its left edge is at x, determine the magnitude of induced EMF.
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Question

A square loop of side a moves with speed v along the x-axis in a perpendicular field B(x)=B₀+kx. When its left edge is at x, determine the magnitude of induced EMF.

G1 Physics · Accepted Answer

Flux is a∫x^(x+a)(B₀+kx')dx'. Differentiating with x=vt gives |ε| = ka²v.