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Question: Answered & Verified by Expert
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:
PhysicsElectromagnetic InductionJEE Main
Options:
  • A $\mathrm{Q}=\frac{1}{R} \cdot \frac{\Delta \phi}{\Delta t}$
  • B $Q=\frac{\Delta \phi}{R}$
  • C $Q=\frac{\Delta \phi}{\Delta t}$
  • D $Q=R \cdot \frac{\Delta \phi}{\Delta t}$
Solution:
1717 Upvotes Verified Answer
The correct answer is: $Q=\frac{\Delta \phi}{R}$
According to the question on induced emf is:
$$
\begin{aligned}
& \text { and current } I=\frac{Q}{\Delta t}=\frac{\Delta \phi}{\Delta t} \cdot \frac{1}{R} \\
& \Rightarrow \quad q=\frac{\Delta \phi}{R}
\end{aligned}
$$

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