The magnetic field in a region is given by B→=B0(1+xa)k∧. A square loop of edge length d is placed with its edge along the x- and y-axes. The loop is moved with a constant velocity v⇀=v0i∧. The emf induced in the loop is
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a
v0B0d2a
b
v0B0d3a2
c
v0B0d
d
Zero
answer is A.
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Detailed Solution
Magnetic fleld at side (1): B1 = B0Induced emf in (l): e1 - B0v0dMagnetic field at side (2):B2=B01+daInduced emf in (2):e2=B01+dav0dInduced emf in 3 and 4 will be zero.Net emf:e=e2-e1=B0v0d2a