A generator is designed to produce a maximum emf of 170 V while rotating at 3200 rpm.The coils of the generator are circular with diameter 7.5 cm.Assuming the magnetic field in the generator is 0.075 T,what is the number of loops needed in the generator coil?
A) 160
B) 1530
C) 6120
D) 4810
E) 25

Question

Quizplus · Accepted Answer

The correct answer is B.The emf of a generator is given by the equation:emf = NABωrwhere N is the number of loops in the coil, A is the area of the coil, B is the magnetic field strength, ω is the angular velocity, and r is the radius of the coil.In this problem, we are given the following information:emf = 170 VB = 0.075 Tω = 3200 rpm = 335 rad/sr = 7.5 cm = 0.075 mWe can use this information to solve for N:N = emf / (ABωr)N = 170 V / (0.075 T * 335 rad/s * 0.075 m)N = 1530 loops

A Generator Is Designed to Produce a Maximum Emf of 170