A flat coil enclosing an area of 0.27 m2 is rotating at 56 rev/s, with its axis

Question

A flat coil enclosing an area of 0.27 m2 is rotating at 56 rev/s, with its axis of rotation perpendicular to a 0.15 T magnetic field. (a) If there are 1015 turns on the coil, what is the maximum voltage induced in the coil? V (b) When the maximum induced voltage occurs, what is the orientation of the coil with respect to the magnetic field? The plane of the coil is perpendicular to the magnetic field. The plane of the coil is at a 56° angle to the magnetic field. The plane of the coil is at a 37° angle to the magnetic field. The plane of the coil is parallel to the magnetic field.

Explanation / Answer

(a)EMF INDUCED IN A COIL IN A MAGNETIC FIELD;

emf = N*B*A*w

N = Number of turns of coil; = 1025 turns

B = Magnetic flux; = 0.15T

A = Area; = 0.27 m2

= angular velocity (radians/s)= 2R

emf =1015*0.15*0.27*(2*3.14*56)

        = 14.464*103 V

(b) maximum induced voltage occurs when the plane of the coil is parallel to the filed.

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