There is a metal loop centered on the origin in the x$-$y plane with radius R$.$ There is a magnetic field everywhere in the xy plane pointing in the z direction. The B field varies in time given by B$($t$)=$ Bo$($ t T $$ t $2$ T $2)$ where Bo is a constant in tesla and T is a constant in seconds. $($a$)$ In which direction does current flow just after t$=0?($b$)$ Is there a moment when current doesn$$t flow, and if so$,$ when? $($c$)$ When B$($t$)=0$ through the loop, what is the emf around the loop?