$29\mathrm{.}6$ CALC A coil $4\mathrm{.}00$ cm in radius, containing $500$ turns, is

placed in a uniform magnetic field that varies with time according to

B $=10\mathrm{.}0120$ T$>$s$2$t $+13\mathrm{.}00*10$

$-5$

T$>$s

$4$

$2$t

$4$

$.$ The coil is connected to

a $600$ resistor, and its plane is perpendicular to the magnetic field.

You can ignore the resistance of the coil. $($a$)$ Find the magnitude of the

induced emf in the coil as a function of time. $($b$)$ What is the current in

the resistor at time t $=5\mathrm{.}00$ s$?$