A coil $4\mathrm{.}15$ cmcm in radius, containing $550$ turns, is placed in a uniform magnetic field that varies with time according to B$=($B$=(1\mathrm{.}20102$ T$/$sT$/$s $)$t$+()$t$+(2\mathrm{.}60105$ T$/$s$4$T$/$s$4)$t$4.)$t$4.$ The coil is connected to a $680$ 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$0=5\mathrm{.}50$ ss$?$