$8.$ A $50-$turn rectangular coil with dimensions rotates in a uniform magnetic

field of magnitude $0\mathrm{.}75$ T at $3600$ rev$/$min$.($a$)$ Determine the emf induced in the coil as a

function of time. $($b$)$ If the coil is connected to a $1000-$W resistor, what is the power as a function

of time required to keep the coil turning at $3600$ rpm$?($c$)$ Answer part $($b$)$ if the coil is connected

to a $2000-$ W resistor