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  4. A copper disc of radius 0.1 m is rotated about its centre with 10 rev / s in a uniform magnetic field of 0.1 T with its plane perpendicular to field. The emf induced across the radius of disc is

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Q. A copper disc of radius $0.1\, m$ is rotated about its centre with $10\, rev / s$ in a uniform magnetic field of $0.1 \,T$ with its plane perpendicular to field. The emf induced across the radius of disc is

Electromagnetic Induction

Solution:

$\varepsilon=\frac{1}{2} B \omega R^{2}, $
$R=0.1 \,m , $
$B=0.1 \,T , $
$W=20 \frac{\pi}{ s }$
$\varepsilon=\frac{1}{2}(0.1)(0.1)^{2}(20 \pi)$
$=\frac{\pi}{100}$ volt