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  4. A coil of cross-sectional area 400 cm2 having 30 turns is making 1800 rev/min in a magnetic field of 1 T. The peak value of the induced emf is

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Q. A coil of cross-sectional area $ 400\,\,c{{m}^{2}} $ having 30 turns is making 1800 rev/min in a magnetic field of 1 T. The peak value of the induced emf is

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Solution:

Induced emf $ {{e}_{\max }}=NBA\omega $ $ \therefore $ $ {{e}_{\max }}=30\times 1\times \left( \frac{400}{10000} \right)\times \left( 1800\times \frac{2\pi }{60} \right) $ $ {{e}_{\max }}=226\,V $