(D) The magnetic flux $\phi$ linked with the loop is given by $\phi = B \cdot A$,where $A = L^2$ is the area of the square loop.Since the magnetic fie

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(D) The magnetic flux $\phi$ linked with the loop is given by $\phi = B \cdot A$,where $A = L^2$ is the area of the square loop.Since the magnetic field $B$ is uniform in time and space,and the loop moves within this field,the area $A$ enclosed by the loop remains constant.According to Faraday's law of electromagnetic induction,the induced electromotive force $(EMF)$ is given by $\varepsilon = -\frac{d\phi}{dt}$.Since $\phi = B \cdot L^2$ is constant,$\frac{d\phi}{dt} = 0$.Therefore,the induced $EMF$ $\varepsilon = 0$.Consequently,the induced current $I = \frac{\varepsilon}{R} = 0$.

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

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$A$ conducting square loop of side $L$ and resistance $R$ moves in its plane with a uniform velocity $v$ perpendicular to one of its sides. $A$ magnetic induction $B$ constant in time and space,pointing perpendicular and into the plane of the loop exists everywhere. The current induced in the loop is

IIT 1989 All IIT

A
$\frac{BLv}{R}$ clockwise
B
$\frac{BLv}{R}$ anticlockwise
C
$\frac{2BLv}{R}$ anticlockwise
D
Zero

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Electromagnetic Induction

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Faraday's and Lenz's Law

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IIT 1989 Paper All IIT years →

There are two square loops $A$ and $B$. When $A$ moves towards $B$,a current starts flowing in $B$ as shown in the figure,and the current in $B$ stops when $A$ stops moving. From this,we can infer that (Assume loop $B$ is at rest):

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$A$ conducting loop is placed in a uniform magnetic field with its plane perpendicular to the field. An $emf$ is induced in the loop if:
$(a)$ It is translated (inside the field)
$(b)$ It is rotated about its axis
$(c)$ It is rotated about a diameter
$(d)$ It is deformed

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An aluminium ring $B$ faces an electromagnet $A$. The current $I$ through $A$ can be altered. Which of the following statements is correct?

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$A$ coil of $n$ turns and resistance $R \ \Omega$ is connected in series with a resistance $R/2$. The combination is moved for time $t$ seconds through a magnetic flux change from $\Phi_1$ to $\Phi_2$. The induced current in the circuit is:

MediumMHT CET 2025

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At what rate should a single conductor cut the magnetic flux so that a current of $1.5 \, mA$ flows through it when a resistance of $5 \, \Omega$ is connected across its ends?

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There are two square loops $A$ and $B$. When $A$ moves towards $B$,a current starts flowing in $B$ as shown in the figure,and the current in $B$ stops when $A$ stops moving. From this,we can infer that (Assume loop $B$ is at rest):

$A$ conducting loop is placed in a uniform magnetic field with its plane perpendicular to the field. An $emf$ is induced in the loop if:$(a)$ It is translated (inside the field)$(b)$ It is rotated about its axis$(c)$ It is rotated about a diameter$(d)$ It is deformed

An aluminium ring $B$ faces an electromagnet $A$. The current $I$ through $A$ can be altered. Which of the following statements is correct?

$A$ coil of $n$ turns and resistance $R \ \Omega$ is connected in series with a resistance $R/2$. The combination is moved for time $t$ seconds through a magnetic flux change from $\Phi_1$ to $\Phi_2$. The induced current in the circuit is:

At what rate should a single conductor cut the magnetic flux so that a current of $1.5 \, mA$ flows through it when a resistance of $5 \, \Omega$ is connected across its ends?

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$A$ conducting loop is placed in a uniform magnetic field with its plane perpendicular to the field. An $emf$ is induced in the loop if:
$(a)$ It is translated (inside the field)
$(b)$ It is rotated about its axis
$(c)$ It is rotated about a diameter
$(d)$ It is deformed