The magnetic flux through a coil of resistanc | vedclass

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(C) From Faraday's law of electromagnetic induction,the induced electromotive force (emf) $e$ in the circuit is given by:$e = -\frac{\Delta \phi}{\Del

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$\frac{\Delta \phi}{R}$

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(C) From Faraday's law of electromagnetic induction,the induced electromotive force (emf) $e$ in the circuit is given by:$e = -\frac{\Delta \phi}{\Delta t}$Given the resistance of the coil is $R$,the induced current $I$ is:$I = \frac{|e|}{R} = \frac{\Delta \phi}{R \cdot \Delta t}$The total charge $Q$ that flows through the circuit in time $\Delta t$ is given by:$Q = I \cdot \Delta t$Substituting the expression for $I$:$Q = \left( \frac{\Delta \phi}{R \cdot \Delta t} \right) \cdot \Delta t$$Q = \frac{\Delta \phi}{R}$Thus,the total quantity of induced electric charge is $\frac{\Delta \phi}{R}$.

The magnetic flux through a coil of resistance $R$ changes by an amount $\Delta \phi$ in time $\Delta t$. The total quantity of induced electric charge $Q$ is

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