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TS EAMCET · Physics · Electromagnetic Induction

A metal disc of radius \(30 \mathrm{~cm}\) rotates with a constant angular velocity \(\omega=100 \mathrm{rad} / \mathrm{s}\) about its axis. Find the magnitude of potential difference between the centre and the rim of the disc of external uniform magnetic field of induction \(\mathrm{B}=4 \mathrm{mT}\) is directed perpendicular to the disc.

  1. A \(15 \mathrm{mV}\)
  2. B \(18 \mathrm{mV}\)
  3. C \(22 \mathrm{mV}\)
  4. D \(20 \mathrm{mV}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(18 \mathrm{mV}\)

Step-by-step Solution

Detailed explanation

Let us consider a small circular strip at distance ' \(\mathrm{r}\) ' from centre having width ' \(\mathrm{dr}\) '. So, area of strip \(=2 \pi \mathrm{rdr}\) \(\mathrm{d} \phi=\mathrm{B} \times 2 \pi \mathrm{r} \mathrm{dr}\)…
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