The average emf induced into the coil is given by:
, where Φ is the magnetic flux, N is the number of turns, and t is the time.
, where B is the magnetic field, A is the cross-sectional area of the coil, and θ is the angle between the plane of the coil and the magnetic field.
(Figure 1) shows a 100-turn coil of wire of radius 11cm in a 0.35T magnetic field.
The coil is rotated 90° in 0.30 s, ending up parallel to the field. What is the average emf induced in the coil as it rotates?
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