The number of turns in the coil of an A.C. generator is 100 and its cross-sectional area is 2.5 m². The coil is revolving in a uniform magnetic field of strength 0.3 T with a uniform angular velocity of 60 rad s⁻¹. The maximum value of the emf produced is _.

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(2) 4.50 kV. Given: N=100, A=2.5 m², B=0.3 T and ω=60 rad s⁻¹. Idea: the flux linkage of the rotating coil is NBA cos ω t, so the induced emf is ε=NBAω sin ω t. The emf is largest when sin ω t=1, with the plane of the coil parallel to the field: ε₀=NBAω. ε₀=100×0.3×2.5×60=4500 V. So the maximum emf is 4.50 kV.

The number of turns in the coil of an A.C. generator is 100 and its cross-sectional area is 2.5 m². The coil is revolving in a uniform magnetic field of strength 0.3 T with a uniform angular velocity of 60 rad s⁻¹. The maximum value of the emf produced is _____.

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