Question:
A conducting rod of length $L$ is moving in a uniform magnetic field $(B) $ with a velocity $v$ without rotation. The velocity of the rod is perpendicular to the rod, and the motion of the rod is confined to a plane perpendicular to the magnetic field. What is the induced emf developed across the rod?
A conducting rod of length $L$ is moving in a uniform magnetic field $(B) $ with a velocity $v$ without rotation. The velocity of the rod is perpendicular to the rod, and the motion of the rod is confined to a plane perpendicular to the magnetic field. What is the induced emf developed across the rod?
Updated On: Jun 14, 2022
- $ BLv $
- $ Bv^{2}L $
- $ \frac{BL}{v} $
- $ BL^{2}v $
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The Correct Option is A
Solution and Explanation
The induced emf developed across the rod
$ e=Blv $
$ e=Blv $
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Concepts Used:
Electromagnetic Induction
Electromagnetic Induction is a current produced by the voltage production due to a changing magnetic field. This happens in one of the two conditions:-
- When we place the conductor in a changing magnetic field.
- When the conductor constantly moves in a stationary field.
Formula:
The electromagnetic induction is mathematically represented as:-
e=N × d∅.dt
Where
- e = induced voltage
- N = number of turns in the coil
- Φ = Magnetic flux (This is the amount of magnetic field present on the surface)
- t = time
Applications of Electromagnetic Induction
- Electromagnetic induction in AC generator
- Electrical Transformers
- Magnetic Flow Meter