(A) According to Faraday's law of electromagnetic induction, the induced electromotive force $(e)$ is given by $e = -n \frac{d\phi}{dt}$.Here, the cha

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

$\frac{4n(\phi_1 - \phi_2)}{5Rt}$

(A) According to Faraday's law of electromagnetic induction, the induced electromotive force $(e)$ is given by $e = -n \frac{d\phi}{dt}$.Here, the change in flux is $\Delta\phi = \phi_2 - \phi_1$.So, the magnitude of induced emf is $|e| = n \frac{|\phi_2 - \phi_1|}{t} = \frac{n(\phi_1 - \phi_2)}{t}$.The total resistance of the circuit is $R_{total} = R + R/4 = 5R/4$.The induced current $(I)$ is given by $I = \frac{|e|}{R_{total}}$.Substituting the values, $I = \frac{n(\phi_1 - \phi_2) / t}{5R/4} = \frac{4n(\phi_1 - \phi_2)}{5Rt}$.Therefore, the correct option is $A$.

Class 12 Physics Electromagnetic Induction Faraday's and Lenz's Law

Difficult

$A$ coil of $n$ turns and resistance $R \text{ } \Omega$ is connected in series with a resistance $R/4$. The combination is moved for time $t$ second through flux $\phi_1$ to $\phi_2$. The induced current in the circuit is

MHT CET 2026 All MHT CET

A
$\frac{4n(\phi_1 - \phi_2)}{5Rt}$
B
$\frac{5n^2(\phi_1 - \phi_2)}{4Rt}$
C
$\frac{2n(\phi_1 - \phi_2)}{3Rt}$
D
$\frac{3n(\phi_1 - \phi_2)}{4Rt}$

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Physics Questions

Chapter

Electromagnetic Induction

Subtopic

Faraday's and Lenz's Law

Previous Year

MHT CET 2026 Paper All MHT CET years →

$A$ coil of resistance $200 \Omega$ is placed in a magnetic field. If the magnetic flux $\phi$ (in weber) linked with the coil varies with time $t$ (in second) as per the equation $\phi = 50t^2 + 4$,then the current induced in the coil at a time $t = 2 \ s$ is (in $A$)

MediumAP EAMCET 2025

View Solution

The magnetic flux through a coil perpendicular to its plane is varying according to the relation $\phi = (5t^3 + 4t^2 + 2t - 5) \; Wb$. If the resistance of the coil is $5 \; \Omega$,then the induced current through the coil at $t = 2 \; s$ will be $.... \; A$. (in $.6$)

MediumJEE MAIN 2022

View Solution

$A$ $10 \Omega$ coil of $180$ turns and diameter $4 \text{ cm}$ is placed in a uniform magnetic field so that the magnetic flux is maximum through the coil's cross-sectional area. When the field is suddenly removed, a charge of $360 \mu \text{C}$ flows through a $618 \Omega$ galvanometer connected to the coil. Find the magnetic field. (in $\text{ T}$)

DifficultTS EAMCET 2019

View Solution

The magnetic flux linked with a coil,in webers,is given by the equation $\phi = 3t^2 + 4t + 9$. The magnitude of the induced $e.m.f.$ at $t = 2 \ s$ will be $...... \ V$.

Easy

View Solution

$A$ bar magnet is passing through a conducting loop of radius $R$ with velocity $v$. The radius of the bar magnet is such that it just passes through the loop. The induced $e.m.f.$ in the loop can be represented by the approximate curve:

DifficultJEE MAIN 2021

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

$A$ coil of $n$ turns and resistance $R \text{ } \Omega$ is connected in series with a resistance $R/4$. The combination is moved for time $t$ second through flux $\phi_1$ to $\phi_2$. The induced current in the circuit is

Similar Questions

$A$ coil of resistance $200 \Omega$ is placed in a magnetic field. If the magnetic flux $\phi$ (in weber) linked with the coil varies with time $t$ (in second) as per the equation $\phi = 50t^2 + 4$,then the current induced in the coil at a time $t = 2 \ s$ is (in $A$)

The magnetic flux through a coil perpendicular to its plane is varying according to the relation $\phi = (5t^3 + 4t^2 + 2t - 5) \; Wb$. If the resistance of the coil is $5 \; \Omega$,then the induced current through the coil at $t = 2 \; s$ will be $.... \; A$. (in $.6$)

The magnetic flux linked with a coil,in webers,is given by the equation $\phi = 3t^2 + 4t + 9$. The magnitude of the induced $e.m.f.$ at $t = 2 \ s$ will be $...... \ V$.

$A$ bar magnet is passing through a conducting loop of radius $R$ with velocity $v$. The radius of the bar magnet is such that it just passes through the loop. The induced $e.m.f.$ in the loop can be represented by the approximate curve:

Vedclass Test Series

Exam Paper Generator

Online Exam Module