1.

The magnetic field inn a region is given by `vec B = veck (B_0)/(L) y` where L is a fixed length. A conducting rod of length L lies along the Y - axis between the origin and the point (0,L, 0). If the rod moves with a velocity `v= v_0` , find the emf induced between the ends of the rod.A. `2 B_(0)v_(0)l`B. `(B_(0)v_(0)l`C. `(B_(0)v_(0)l)/(2)`D. None of these

Answer» Correct Answer - C
Consider an element of width dy at a distance y form origin.
Induced emf across its ends is `Bv_(0)dy`, where `B=(B_(0))/(L) y`.
Intergrating from 0 to L, `E=(B_(0)v_(0)l)/(2)`.


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