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A copper disc of radius \( 0.1 \mathrm{~m} \) is rotated about its centre with \( 10 \) revolutions per second in a uniform magnetic field of \( 0.1 \) tesla with its plane perpendicular to the field. The emf induced across the radius of disc is
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Verified Answer
The correct answer is:
\( \pi \times 10^{-2} \mathrm{~V} \)
Given,
The magnitude of the magnetic field,
The radius of disk,
Rotational speed,
Consider a small radial segment at distance from the center.
The emf generated in this small elemental rod will be,
, here is the velocity of rod.
We know at any radial distance , linear velocity will be,
Since all these differential rods are connected in series, so net emf will be,
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