A generator has 200 turns of wire on a coil of radius 2.00 cm. What rotational speed is necessary to produce an emf of amplitude 4.50 V if the magnetic field in the region of the coil is 0.180 T?
A) 60.0 rad/s
B) 16.0 rpm
C) 100 rpm
D) 500 rpm
E) 950 rpm

Question

Quizplus · Accepted Answer

The emf amplitude is given by the formula: emf = NABωsin(ωt), where N is the number of turns, A is the area of the coil, B is the magnetic field, and ω is the angular velocity. Solving for ω, we find ω = emf / (NAB). Substituting the given values, we calculate ω and convert it to rpm, resulting in approximately 950 rpm.

A Generator Has 200 Turns of Wire on a Coil