The magnetic field in a region is given by B⇀=k∧B0Ly 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⇀=v0i∧, find the emf induced between the ends of the rod.
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a
2B0v0l
b
B0v0l
c
B0v0l2
d
None of these
answer is C.
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Detailed Solution
Consider an element of width dy at a distance y from origin.Induced emf across its ends is Bv0dy. where B=B0LyIntegrating from 0 to L, ∫dε=∫0lB0v0ydyL ε=B0v0l2