Q.

A copper wire of length l is bent into a semicircle. It is moved with a velocity v normal to its diameter in a region of uniform magnetic field strength B normal to the plane of the wire,then the induced EMF across the ends of wire is

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a

Blv

b

B1πv

c

B2lπv

d

None of these

answer is C.

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Detailed Solution

πr=l  r=lπ ε=B(2r)v=B(2lπ)v
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A copper wire of length l is bent into a semicircle. It is moved with a velocity v normal to its diameter in a region of uniform magnetic field strength B normal to the plane of the wire,then the induced EMF across the ends of wire is