The flux linked per each turn of a coil of N turns changes from `phi_1` to `phi_2`. If the total resistance of the circuit including the coil is R. The induced charge in the coil is _____

Options

A. `(N(phi_2-phi_1))/t`
B. `(N(phi_2-phi_1))/R`
C. `(N(phi_2-phi_1))/(Rt)`
D. `N(phi_2-phi_1)`

Answer

B

Explanation

The change in flux associated with coil of N turn
`Deltaphi=Nphi_2-Nphi_1`
`therefore Deltaphi=N(phi_2-phi_1)`
Induced emf in coil `|epsilon|=N(Deltaphi)/(Deltat)`
`therefore IR=N(Deltaphi)/(Deltat) " " [because |epsilon|=IR]`
`therefore Q/(Deltat)=(NDeltaphi)/(RDeltat)`
`therefore Q=(N(phi_2-phi_1))/R`