Induced Electric Field from Changing Magnetic Flux
A circular wire loop of radius r is in a uniform magnetic field directed perpendicular to the plane of the loop. The magnetic field strength varies with time t according to the function B(t) = B₀e^(-t/τ), where B₀ and τ are positive 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
(B₀/2τ)e^(-t/τ)
C
(rB₀/τ)e^(-t/τ)
D
(r²B₀/2τ)e^(-t/τ)
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