A uniform but time varying magnetic field `B=C-Kt`, where K and C are positive constants and t is time ( in second ) , is applied perpendicular to the plane of a circular loop of radius `'a'` and resistance R. Find the total charge ( in coulomb) that will pass through any point of loop by the time B becomes zero.
[ Given `a=2m,R=pi Omega,C=2T]`

Answer

8

Explanation

`phi=vec(B).vec(A),epsilon=-(d phi)/(dt)=Kpi a^(2),i=(epsilon)/(R)=(Kpia^(2))/(R)`
And at `t=T, B=0implies0=C-KTimpliesT=(C )/(K)`
`q=ixxT=(pi a^(2)C)/(R)=8C`