Electromagnetic Induction - Result Question 15
15. 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 $\Delta t$ is represented by
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(a) $Q=R \cdot \frac{\Delta \phi}{\Delta t}$
(b) $Q=\frac{1}{R} \cdot \frac{\Delta \phi}{\Delta t}$
(c) $Q=\frac{\Delta \phi}{R}$
(d) $Q=\frac{\Delta \phi}{\Delta t}$
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Answer:
Correct Answer: 15. (c)
Solution:
(c) $\frac{\Delta \phi}{\Delta t}=\varepsilon=i R \Rightarrow \Delta \phi=(i \Delta t) R=QR$
$\Rightarrow Q=\frac{\Delta \phi}{R}$
