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Question

A copper wire bent in the shape of a semicircle of radius r translates in its plane with a constant velocity v. A uniform magnetic field B exists in the direction perpendicular to the ends of the wire if

(a) The velocity is perpendicular to the diameter joining free ends,

(b) The velocity is parallel to this diamneter.

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Solution

(a) Component of length moving perpendicular to V is 2R,

E = Bv 2R

(b) Component of length perpendicular to velocity = 0

E =0


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