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Induced Electric Field from Changing Magnetic Flux
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A circular loop of wire with radius r is placed in a uniform magnetic field B that is perpendicular to the plane of the loop. The magnetic field changes with time according to B(t) = B₀e^(-t/τ), where B₀ and τ are constants. What is the magnitude of the induced electric field at a point on the loop at time t?

A

(rB₀/2τ)e^(-t/τ)

B

(r²B₀/2τ)e^(-t/τ)

C

(rB₀/τ)e^(-t/τ)

D

(B₀/2τ)e^(-t/τ)

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