The rotating loop in an ac generator is a square $10\mathrm{.}0$ cm on a side. It is rotated at $65\mathrm{.}0$ Hz in a uniform field of $0\mathrm{.}800$ T$.$ Calculate the following quantities as functions of time t$,$ where t is in seconds.

$($a$)$ the flux through the loop

$$B $=$

mT$$m$2$

$($b$)$ the emf induced in the loop

$=$

V

$($c$)$ the current induced in the loop for a loop resistance of $1\mathrm{.}50$

I $=$

A

$($d$)$ the power delivered to the loop

$=$

W

$($e$)$ the torque that must be exerted to rotate the loop

$=$

mN$$m