A conducting ring of radius 1 m kept in a uniform magnetic field B of 0.01 T , rotates uniformly wit

Question

A conducting ring of radius 1 m kept in a uniform magnetic field B of 0.01 T , rotates uniformly with an angular velocity $100 \mathrm{rads}^{-1}$ with its axis of rotation perpendicular to B . The maximum induced emf in it is\

Professor PC Thomas Classes · Answer

The maximum induced emf is\ $\varepsilon_{	ext {max }}=\mathrm{BA} \omega$\ Here, $\mathrm{B}=0.01 \mathrm{~T}, \mathrm{~A}=\pi \mathrm{R}^{2}=\pi 	imes(1 \mathrm{~m})^{2}=\pi \mathrm{m}^{2}$\ $\omega=100 \mathrm{rad} \mathrm{s}^{-1}$\ $	herefore \varepsilon_{	ext {max }}=0.01 	imes \pi 	imes 100 \mathrm{~V}=\pi \mathrm{V}$