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MHT CET 2024 (3 May, Shift 2) · Rotating Conductors & AC Generator

Rotating Conductors & AC Generator question from MHT CET 2024 (3 May, Shift 2)

Q10MHT CET 2024 · 3 MAY · SHIFT 2Easy

Rotating Conductors & AC Generator

A rod of length ' $l$ ' is rotated with angular velocity ' $\omega$ ' about its one end, perpendicular to a magnetic field of induction ' $B$ '. The e.m.f. induced in the rod is

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Answer: (b)

A point at distance $x$ moves with $v = \omega x$ ; $de = B\omega x\,dx$ .
$e = \int_0^l B\omega x\,dx = \tfrac{1}{2}Bl^2\omega$
So the answer is (b) $0.5\,Bl^2\omega$ .

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