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

[2004]

(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) $\frac{\Delta \phi}{\Delta t}=\varepsilon=i R \Rightarrow \Delta \phi=(i \Delta t) R=QR$

$\Rightarrow Q=\frac{\Delta \phi}{R}$