Question

If the flux of magnetic induction through a coil of resistance $R$ and having $n$ turns changes from $\phi_{1}$ to $\phi_{2}$, then the magnitude of the charge that passes through the coil is (A) $\frac{\left(\phi_{2}-\phi_{1}\right)}{R}$ (B) $\frac{n\left(\phi_{2}-\phi_{1}\right)}{R}$ (C) $\frac{\left(\phi_{2}-\phi_{1}\right)}{n R}$ (D) $\frac{n R}{\left(\phi_{2}-\phi_{1}\right)}$

Name: Problem 48, Chapter 16: A Complete Resource Book in Physics for JEE Main
Uploaded: 2021-10-08T16:47:51-08:00
Duration: 1 min 57 s
Channel: Ankur S
Description: If the flux of magnetic induction through a coil of resistance R and having n turns changes from ϕ1 to ϕ2, then the magnitude of the charge that passes through the coil is (A) ((ϕ2-ϕ1))/(R) (B) (n(ϕ2-ϕ1))/(R) (C) ((ϕ2-ϕ1))/(n R) (D) (n R)/((ϕ2-ϕ1))

   If the flux of magnetic induction through a coil of resistance $R$ and having $n$ turns changes from $\phi_{1}$ to $\phi_{2}$, then the magnitude of the charge that passes through the coil is
(A) $\frac{\left(\phi_{2}-\phi_{1}\right)}{R}$
(B) $\frac{n\left(\phi_{2}-\phi_{1}\right)}{R}$
(C) $\frac{\left(\phi_{2}-\phi_{1}\right)}{n R}$
(D) $\frac{n R}{\left(\phi_{2}-\phi_{1}\right)}$

A Complete Resource Book in Physics for JEE Main

Sanjeev Kumar 1st Edition

Chapter 16, Problem 48

Instant Answer

Solved by Expert Ankur S

10/08/2021

Step 1

For a single coil, this is given by: \[E = -\frac{d\phi}{dt}\] where $\phi$ is the magnetic flux and $t$ is time. Show more…

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If the flux of magnetic induction through a coil of resistance $R$ and having $n$ turns changes from $\phi_{1}$ to $\phi_{2}$, then the magnitude of the charge that passes through the coil is (A) $\frac{\left(\phi_{2}-\phi_{1}\right)}{R}$ (B) $\frac{n\left(\phi_{2}-\phi_{1}\right)}{R}$ (C) $\frac{\left(\phi_{2}-\phi_{1}\right)}{n R}$ (D) $\frac{n R}{\left(\phi_{2}-\phi_{1}\right)}$

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Key Concepts

Magnetic Flux

Magnetic flux is a measure of the total magnetic field passing through a given area. It quantifies the amount of magnetic field lines intersecting a surface and is a key factor in determining the degree of electromagnetic induction in circuits.

Faraday's Law of Electromagnetic Induction

Faraday's law states that a change in magnetic flux through a circuit induces an electromotive force (emf) in the circuit. This principle is foundational in understanding how time-varying magnetic fields can generate an electric current in conductive loops.

Ohm's Law

Ohm's law relates the voltage across a conductor to the current flowing through it and the resistance of the conductor. In the context of electromagnetic induction, integrating the induced current over time, while considering the resistance, yields the total charge transferred.

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