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Force on a Loop in a Changing Magnetic Field

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A circular wire loop with radius r and mass m is placed in a uniform magnetic field oriented perpendicular to the loop’s plane. The magnetic field’s magnitude varies with time t according to the function B(t) = B₀e^(αt). If the loop is initially at rest, what is the magnitude of its acceleration at t = 0?

A

2π2r3B0αm\dfrac{2\pi^{2}r^{3}B_{0}\alpha}{m}

B

0

C

πr2B0αm\dfrac{\pi r^{2} B_0 \alpha}{m}

D

πr2B02αm\dfrac{\pi r^{2} B_0^{2} \alpha}{m}

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