A coil $3\mathrm{.}70$ cmcm radius, containing $430$ turns, is placed in a uniform magnetic field that varies with time according to B$=($B$=(1\mathrm{.}20102$ T$/$sT$/$s $)$t$+()$t$+(3\mathrm{.}40105$ T$/$s$4$T$/$s$4)$t$4)$t$4.$ The coil is connected to a $540-$ resistor, and its plane is perpendicular to the magnetic field. You can ignore the resistance of the coil.

Find the magnitude of the induced emf in the coil as a function of time.

What is the current in the resistor at time t$0$t$0=4\mathrm{.}65$ ss $?$