The magnetic flux through a circuit of resistance $R$ changes by an amount $\Delta \phi$ in a time $\Delta…

The magnetic flux through a circuit of resistance $R$ changes by an amount $\Delta \phi$ in a time $\Delta t$. Then the total quantity of electric charge $Q$ that passes any point in the circuit during the time $\Delta \mathrm{t}$ is represented by:
  1. $\mathrm{Q}=\frac{1}{R} \cdot \frac{\Delta \phi}{\Delta t}$
  2. $Q=\frac{\Delta \phi}{R}$
  3. $Q=\frac{\Delta \phi}{\Delta t}$
  4. $Q=R \cdot \frac{\Delta \phi}{\Delta t}$

Solution

According to the question on induced emf is: $\begin{aligned} & \text { and current } I=\frac{Q}{\Delta t}=\frac{\Delta \phi}{\Delta t} \cdot \frac{1}{R} \\ & \Rightarrow \quad q=\frac{\Delta \phi}{R} \end{aligned}$

Asked in: NEET 2004

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