A flat coil enclosing an area of 0.12 meters squared is rotating at 55 rev/s, wi

Question

A flat coil enclosing an area of 0.12 meters squared is rotating at 55 rev/s, with its axis of rotation perpendicular to a 0.16 T magnetic field. (a) If there are 997 turns on the coil, what is the maximum voltage induced in the coil? answer in V (b) When the maximum induced voltage occurs, what is the orientation of the coil with respect to the magnetic field? Choose on of the following The plane of the coil is parallel to the magnetic field. The plane of the coil is at a 37° angle to the magnetic field. The plane of the coil is perpendicular to the magnetic field. The plane of the coil is at a 55° angle to the magnetic field.

Explanation / Answer

(1)

E = N (d/dt)
= BAcos(wt)
d = BAwsin(wt)
E = NBAwsin(wt)

sin max when wt = 90° or /2

E =NBAW

=997*0.16*0.12*2**55

= 6615.14 V OR 6.6 kV

(2)

The plane of the coil is parallel to the magnetic field.

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