(A) Given: Length $l = 10 \, cm = 0.1 \, m$,Magnetic field $B = 1.0 \, T$,Velocity $v = 20 \, cm/s = 0.2 \, m/s$,Angle $\theta = 60^\circ$.The motiona

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(A) Given: Length $l = 10 \, cm = 0.1 \, m$,Magnetic field $B = 1.0 \, T$,Velocity $v = 20 \, cm/s = 0.2 \, m/s$,Angle $\theta = 60^\circ$.The motional $emf$ induced in a conductor moving in a magnetic field is given by $E = B v l \sin \theta$,where $\theta$ is the angle between the velocity vector and the length of the wire.Substituting the values:$E = 1.0 \times 0.2 \times 0.1 \times \sin 60^\circ$$E = 0.02 \times \frac{\sqrt{3}}{2}$$E = 0.01 \times 1.732$$E = 0.01732 \, V$$E = 17.32 \times 10^{-3} \, V$.Thus,the induced $emf$ is approximately $17 \times 10^{-3} \, V$.

Class 12 Physics Electromagnetic Induction Motional EMI (Induced Parameter)

Medium

$A$ wire of length $10 \, cm$ translates in a direction making an angle of $60^\circ$ with its length. The plane of motion is perpendicular to a uniform magnetic field of $1.0 \, T$ that exists in the space. Find the $emf$ induced between the ends of the rod if the speed of translation is $20 \, cm/s$.

A
$17 \times 10^{-3} \, V$
B
$27 \times 10^{-3} \, V$
C
$7 \times 10^{-3} \, V$
D
$57 \times 10^{-3} \, V$

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Class 12 Questions

Class 12

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Electromagnetic Induction

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Motional EMI (Induced Parameter)

An aeroplane in which the distance between the tips of wings is $50 \ m$ is flying horizontally with a speed of $360 \ km/hr$ over a place where the vertical component of the Earth's magnetic field is $2.0 \times 10^{-4} \ Wb/m^2$. The potential difference between the tips of the wings would be $V$.

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$A$ metal rod of length $2 \, m$ is rotating with an angular velocity of $100 \, rad/s$ in a plane perpendicular to a uniform magnetic field of $0.3 \, T$. The potential difference between the ends of the rod is.......$V$

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$A$ wheel with ten metallic spokes,each $0.50\,m$ long,is rotated with a speed of $120\,rev/min$ in a plane normal to the Earth's magnetic field at the place. If the magnitude of the field is $0.40\,G$,the induced $emf$ between the axle and the rim of the wheel is equal to:

MediumAIIMS 2010

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$A$ rod of length $80 \ cm$ rotates about its midpoint with a frequency of $10 \ rev/s$. The potential difference (in volts) between the two ends of the rod due to a magnetic field $B = 0.5 \ T$ directed perpendicular to the rod is:

MediumTS EAMCET 2019

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$A$ conducting rod $AC$ of length $4l$ is rotated about a point $O$ in a uniform magnetic field $\vec{B}$ directed into the paper. $AO = l$ and $OC = 3l$. Then which of the following is incorrect?

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$A$ metal rod of length $2 \, m$ is rotating with an angular velocity of $100 \, rad/s$ in a plane perpendicular to a uniform magnetic field of $0.3 \, T$. The potential difference between the ends of the rod is.......$V$

$A$ wheel with ten metallic spokes,each $0.50\,m$ long,is rotated with a speed of $120\,rev/min$ in a plane normal to the Earth's magnetic field at the place. If the magnitude of the field is $0.40\,G$,the induced $emf$ between the axle and the rim of the wheel is equal to:

$A$ rod of length $80 \ cm$ rotates about its midpoint with a frequency of $10 \ rev/s$. The potential difference (in volts) between the two ends of the rod due to a magnetic field $B = 0.5 \ T$ directed perpendicular to the rod is:

$A$ conducting rod $AC$ of length $4l$ is rotated about a point $O$ in a uniform magnetic field $\vec{B}$ directed into the paper. $AO = l$ and $OC = 3l$. Then which of the following is incorrect?

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