$(5$pts$)$

A rectangular loop of wire of length $4\mathrm{.}0$ cm and width $3\mathrm{.}0$ cm is in a uniform magnetic field $B=0\mathrm{.}16T$ what is the magnetic flux in the loop

$($a$)$ when $B$ is perpendicular to the face of the loop?

$($b$)$ when $B$ is at angle of $30$ to the area of the loop?

$($c$)$ What is the magnitude of the average current in the loop if the wire has a resistance of $12\mathrm{.}0m$ and is rotated from position $($b$)$ to position $($a$)$ in $0\mathrm{.}1$ s $?$