The magnetic flux through a circuit of resistance R changes by an amount Δ φ in a time Δ t . Then the total quantity of electric charge Q that passes any point in the circuit during the time Δ t is represented by:

Correct answer: B. Q=(Δ φ)/(R) According to the question on induced emf is: aligned & and current I=(Q)/(Δ t)=(Δ φ)/(Δ t) · (1)/(R) & q=(Δ φ)/(R) aligned

NEET 2004

Exam: NEET
Year: 2004
Subject: Physics
Chapter: Electromagnetic Induction

NEET 2004 · Physics · Electromagnetic Induction

The magnetic flux through a circuit of resistance R changes by an...

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:

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 $Q=R \cdot \frac{\Delta \phi}{\Delta t}$

Correct answer

B. $Q=\frac{\Delta \phi}{R}$

Step-by-step 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}

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