A uniform but time varying magnetic field B = Kt – C ; (0 < t < C/K), where K and C are constants and t is time, is applied perpendicular to the plane of the circular loop of radius ‘a’ and resistance R. Find the total charge that will pass around the loop.

Flux =(Kt-c)$\pi a^2$

EMF=d(flux)/(dt)

=k$\pi a^2$

Current =k$\pi a^2$/R

So the charge flown through it hould be =k$\pi a^2$t/R

But the answer given as C$\pi a^2/ R$