A rectangular loop of height L and width a moves with speed v along +x through a perpendicular field B(x)=B₀ $e^(-kx).$ If its left edge is at x, find the induced EMF magnitude.
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Question

A rectangular loop of height L and width a moves with speed v along +x through a perpendicular field B(x)=B₀e^(−kx). If its left edge is at x, find the induced EMF magnitude.

G1 Physics · Accepted Answer

Φ = L∫x^(x+a)B₀e^(−kx')dx'. Differentiation with dx/dt=v gives |ε| = B₀Lv e^(−kx)(1−e^(−ka)).