A flat coil enclosing an area of 0.14 m2 is rotating at 62 rev/s, with its axis

Question

A flat coil enclosing an area of 0.14 m2 is rotating at 62 rev/s, with its axis of rotation perpendicular to a 0.25 T magnetic field.

(a) If there are 995 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? (Choose one)
__The plane of the coil is at a 41° angle to the magnetic field.
__The plane of the coil is parallel to the magnetic field.
__The plane of the coil is at a 62° angle to the magnetic field.
__The plane of the coil is perpendicular to the magnetic field.

Explanation / Answer

a)E = N (d/dt)

= BAcos(wt)

take derivative of with respect to t
you get

d = BAw sin(wt)
E = NBAw sin(wt)
sin max when wt = 90° or /2 ...sin(90) = 1 = sin(/2)
convert rev/s to rad/sec ........... 62rev/sec = 124 rad/s = w
E = (995)(0.14m^2)(.25T)(124)(1)
E = 13.5 KV = voltage

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

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