the magnetic flux through stationary loop with resistance R changes by an amount d(fie) in time dt then the total quantity of electric charge Q that during this time passes any point of circuit is given by......

$\int E.ds=-d\phi/dt \\=>E.2\pi R=-d\phi/dt \\=>I=E/R \\=>I.dt=E.R.dt \\=>Q=-d\phi/2\pi R$