A flat, rectangular coil measuring 0.10 m by 0.20 m and containing 50 turns of wire is rotating at a constant speed of 100π rad/s in a magnetic field of 0.20 T. The maximum EMF induced in this coil is approximately
A) 1.0 V.
B) 10 V.
C) 63 V.
D) 44 V.
E) 0.13 V.

Question

Quizplus · Accepted Answer

The formula for the maximum EMF induced in a rotating coil in a magnetic field is given by:
EMF = NABωsin(ωt) 
where N = number of turns, A = area of the coil, B = magnetic field strength, ω = angular velocity, and t = time.

Substituting the given values, we get:
EMF = 50 x 0.10 x 0.20 x 0.20 x 100π x sin(100πt) 
EMF = 63.66 sin(100πt)

The maximum value of sin(100πt) is 1, so the maximum EMF induced is:
EMFmax = 63.66 x 1 = 63.66 V

Therefore, the best choice is (C) 63 V.

A Flat, Rectangular Coil Measuring 0