A wire is bent to form a semicircle of the radius $a$ . The wire rotates about its one end with angular velocity $ω$ . Axis of rotation is perpendicular to the plane of the semicircle. In the space, a uniform magnetic field of induction $B$ exists along the axis of rotation as shown in the figure. Then -

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When wire of length l rotates with angular speed omega in external magnetic field then emf is induced in that wire. e = 1 2 B ω l 2 = 1 2 B ω 2 a 2 = 2 B ωa 2

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