First slide

Magnetic flux and induced emf

Question

A metal rod moves at a constant velocity in a direction perpendicular to its length. A constant uniform magnetic field exists in space in a direction perpendicular to the rod as well as its velocity. Select the correct statement(s) from the following

Moderate

A

The entire rod is at the same electric potential
B

There is an electric field in the rod
C

The electric potential is highest at the centre of the rod and decreases towards its ends
D

The electric potential is lowest at the centre of the rod and increases towards its ends

Solution

A motional emf $e = Bvl$ is induced in the rod, or we can say, a potential difference is induced between the two ends of the rod AB, with P at higher potential and Q at lower potential. Due to this potential difference, there is an electric field in the rod.

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