APFIVE Force on a Loop in a Changing Magnetic Field
A circular loop of wire with radius r and mass m is placed in a uniform magnetic field B perpendicular to the plane of the loop. If the magnetic field begins to increase exponentially as B(t)=B₀e^(αt), what is the magnitude of the instantaneous acceleration of the loop at t=0, assuming the loop is initially at rest?
A
$$\dfrac{\pi r^{2} B_0^{2} \alpha}{m}$$
B
$$\dfrac{2\pi^{2}r^{3}B_{0}\alpha}{m}$$
C
0
D
$$\dfrac{\pi r^{2} B_0 \alpha}{m}$$
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