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Q. A conducting rod of mass $m$ and length $l$ is free to move without friction on two parallel long conducting rails, as shown below. There is a resistance $R$ across the rails. In the entire space around, there is a uniform magnetic field $B$ normal to the plane of the rod and rails. The rod is given an impulsive velocity $\upsilon_{0}$
image
Finally, the initial energy $\frac{1}{2}m\upsilon^{2}_{0}$

KVPYKVPY 2012Electromagnetic Induction

Solution:

Due to motion of conductor in region of magnetic field, anemf is generated in the conducting loop.
Induced current produces heat when it flows through resistor