(A) The motional $emf$ induced in the rod is given by $\varepsilon = B \ell v$.Given: $B = 0.15\, T$,$\ell = 50\, cm = 0.5\, m$,$v = 2\, ms^{-1}$,and

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(A) The motional $emf$ induced in the rod is given by $\varepsilon = B \ell v$.Given: $B = 0.15\, T$,$\ell = 50\, cm = 0.5\, m$,$v = 2\, ms^{-1}$,and $R = 3\,\Omega$.The induced current in the circuit is $I = \frac{\varepsilon}{R} = \frac{B \ell v}{R}$.The magnetic force acting on the rod is $F = I \ell B = \left(\frac{B \ell v}{R}\right) \ell B = \frac{B^2 \ell^2 v}{R}$.Substituting the values:$F = \frac{(0.15)^2 \times (0.5)^2 \times 2}{3} = \frac{0.0225 \times 0.25 \times 2}{3} = \frac{0.01125}{3} = 0.00375\, N$.Thus,$F = 3.75 \times 10^{-3}\, N$.

Class 12 Physics Electromagnetic Induction Motional EMI (Induced Parameter)

Medium

As shown in the figure,a metal rod makes contact with a partial circuit and completes the circuit. The circuit area is perpendicular to a magnetic field with $B = 0.15\, T$. If the resistance of the total circuit is $3\,\Omega$,the force needed to move the rod as indicated with a constant speed of $2\, ms^{-1}$ will be equal to:

A
$3.75\times10^{-3}\, N$
B
$2.75\times10^{-3}\, N$
C
$6.57\times10^{-4}\, N$
D
$4.36\times10^{-4}\, N$

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Electromagnetic Induction

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Motional EMI (Induced Parameter)

The migratory pattern of birds is one of the mysteries in the field of biology and indeed all of science. Explain this in the context of electromagnetic induction.

Medium

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$A$ conducting circular loop is placed in a uniform magnetic field of $0.4\,T$ with its plane perpendicular to the field. The radius of the loop starts expanding at a constant rate of $1\,mm/s$. The magnitude of the induced emf in the loop at an instant when the radius of the loop is $2\,cm$ will be $...........\,\mu V$.

MediumJEE MAIN 2023

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$A$ $20 \ m$ long uniform copper wire held horizontally is allowed to fall under gravity $(g = 10 \ m/s^2)$ through a uniform horizontal magnetic field of $0.5 \ Gauss$ perpendicular to the length of the wire. The induced $EMF$ across the wire after it travels a vertical distance of $200 \ m$ is . . . . . . $mV$.

MediumJEE MAIN 2026

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Two metallic rings of radius $R$ are rolling on a metallic rod. $A$ magnetic field of magnitude $B$ is applied in the region. The magnitude of the potential difference between point $A$ and point $C$ on the two rings (as shown) will be:

Medium

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$A$ rod of length $1.0 \,m$ is rotated in a plane perpendicular to a uniform magnetic field of induction $0.25 \,T$ with a frequency of $12 \,rev/s$. The induced emf across the ends of the rod is (in $\,V$)

DifficultAP EAMCET 2020

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The migratory pattern of birds is one of the mysteries in the field of biology and indeed all of science. Explain this in the context of electromagnetic induction.

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