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Question

A square frame with side a and a long straight wire carrying a current i are located in the same plane as shown in figure. The frame translates to the right with constant velocity v. Find the emf induced in the frame as a function of distance x.
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A
μ07π2ia3vx(x+a)
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B
μ04π2ia2vx(x+a)
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C
μ02π2ia4vx(x+a)
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D
μ03π7ia2vx(x+a)
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Solution

The correct option is B μ04π2ia2vx(x+a)
enet=e1e2
=B1vaB1va
=[μ02πixμ02πix+a]va

=μ04π2ia2vx(x+a)

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