2 A rectangular coil of length 0.5m and breadth 0.4m has resistance 5ohm. The coil is placed in a magnetic field of induction 0.05 T and its direction is perpendicular to the plane of the coil. If the magnetic induction is uniformly reduced to zero in 5 milliseconds, find the emf and current induced in the coil.
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Given : Length of rectangular coil = 0.5 m, breadth = 0.4 m, resistance = 5 ohm, magnetic field = 0.05 T, time = 5 milliseconds
To find : The emf and current induced in the coil.
Solution : We know that, emf is given as
• ∆Φ = ∆B.A / ∆t
e = 0.05×0.5×0.4×1000 / 5
= 5×0.4
e = 2 volt
• Now for current, we know that
• Where r = resistance of coil and e = emf induced in the coil.
i = 2 / 5
i = 0.4 A
Hence, fhe emf and current induced in the coil is 2 volt and 0.4 A respectively
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