Problem $32\mathrm{.}34$

If we move a refrigerator magnet back and forth, we generate an electromagnetic wave that propagates away from us$.$ Assume we move the magnet along the zz$-$axis centered on the origin with an amplitude of $10$ cmcm and with a frequency of $2\mathrm{.}0$ HzHz$.$ Consider a loop in the xyxy$-$plane centered on the origin with a radius of $2\mathrm{.}0$ cmcm$.$ Assume that when the magnet is closest to the loop, the magnetic field within the loop has a spatially uniform value of $0\mathrm{.}010$ TT$.$ When the magnet has moved $10$ cmcm in the direction away from the loop, the field in the loop becomes negligible.