A coil $3\mathrm{.}85$ cm

in radius, containing $500$ turns, is placed in a uniform magnetic field that varies with time according to B$=($

$1\mathrm{.}20102$ T$/$s

$)$t$+($

$3\mathrm{.}50105$ T$/$s$4$

$)$t$4.$

The coil is connected to a $590$

resistor, and its plane is perpendicular to the magnetic field. You can ignore the resistance of the coil. Part A

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

What is the current in the resistor at time t$0$

$=4\mathrm{.}95$ s

$?$

Express your answer with the appropriate units.