A $122-$turn coil has a diameter of $29\mathrm{.}4$ I cm $.$ The coil is placed in a spatially uniform magnetic field of magnitude $7\mathrm{.}1$ T so that the plane of the coil is at and angle $59\mathrm{.}2$deg to the magnetic field. Find the magnitude of the emf induced in the coil if the magnetic field is reduced to $66\mathrm{.}6\%$ of its initial value uniformly in $0\mathrm{.}377$ s $($in Volts$).$