ElectroMagnetic InductionHard

Question

A semicircular wire of radius R is rotated with constant angular velocity w about an axis passing through one end and perpendicular to the plane of the wire. There is a uniform magnetic field of strength B. The induced e.m.f. between the ends is:

Options

A.B ωR2/2
B.2 BωR2/2
C.is variable
D.none of these

Solution

Here effective length is 2R
ε =1/2 Bω(2R)2 = 2BωR2

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