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A 1.0 m long metallic rod is rotated wit...

A 1.0 m long metallic rod is rotated with an angular frequency of `"400 rad s"^(-1)` about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic field of 0.5 T parallel to the axis exists everywhere. Calculate the emf developed between the centre and the ring.

Text Solution

Verified by Experts

Here emf induced between centre and rim of ring is the emf induced across the given rod. This emf is,
`epsilon=1/2B omegaL^2`
`=1/2xx0.5xx400xx(1)^2`
`therefore epsilon`=100 V
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