Induced EMF from Exponentially Decaying Field
A circular loop of wire with radius r is placed in a uniform magnetic field oriented perpendicular to the loop’s plane. The magnetic field’s magnitude decreases with time t according to the equation B = B₀e^(-t/τ), where B₀ and τ are constants. Determine the magnitude of the induced emf in the loop at time t = τ.
A
(πr²B₀/τ)e^(-1)
B
(πr²B₀/τ)
C
πr²B₀e^(-1)
D
(πr²B₀/τ)e^(-τ)
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