The magnetic flux through a circuit of resistance ' $R$ ' changes by an amount $\Delta \phi$ in the time…
The magnetic flux through a circuit of resistance ' $R$ ' changes by an amount $\Delta \phi$ in the time $\Delta t$. The total quantity of electric charge ' $Q$ ' which passes during this time through any point of the circuit is
According to Faraday's law of electromagnetic induction,
$\begin{aligned}
& \varepsilon=\frac{\Delta \phi}{\Delta t} \\
& I R=\frac{\Delta \phi}{\Delta t} \\
& I=\frac{\Delta \phi}{\Delta t \times R} \\
& I \times \Delta t=\frac{\Delta \phi}{R}
\end{aligned}$
$\therefore \quad$ The total quantity of electric charge passing through the circuit is
$\mathrm{Q}=\frac{\Delta \phi}{\mathrm{R}}$