#$2**$

A loop of wire $($radius r$)$ is placed in a B field that is perpendicular to the loop. Assume that the

magnitude of B varies as B$($t$)=$

$$t $+$

$,$ where

$$ and

$$ are constant.

a$.$ Find the $($magnetic$)$ flux through the loop when t $=0$

b$.$ What is induced in the loop?

c$.$ If the resistance is R$,$ find the induced current.

d$.$ What is the power delivered to the resistance of the loop