APFIVE Induced EMF from Exponentially Decaying Field
A circular loop of wire with radius r is initially in a uniform magnetic field B perpendicular to the plane of the loop. If the magnetic field decreases exponentially with time according to B = B₀e^(-t/τ), where τ is a time constant, what is the magnitude of the induced emf in the loop at time t = τ?
A
(πr²B₀/τ)
B
(πr²B₀/τ)e^(-τ)
C
(πr²B₀/τ)e^(-1)
D
πr²B₀e^(-1)
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