Question

A generator is built with 500 turns.The area of each turn is 0.02 m^2 , and the external magnetic field through the coils is 0.30 T. If a turbine rotates the coil at 960 rpm, what is the induced rms voltage?

Answer 1

213.18 volt

Step-by-step explanation:

N = 500, A = 0.02 m^2, B = 0.30 T, f = 960 rpm = 960 / 60 = 16 rps

The maximum value of induced emf is given by

e0 = N x B x A x ω

e0 = N x B x A x 2 x π x f

e0 = 500 x 0.3 x 0.02 x 2 x 3.14 x 16

e0 = 301.44 Volt

The rms value of induced emf is given by

`e_(rms) = (e_(0))/(√(2))`

`e_(rms) = (301.44)/(√(2))`

e rms = 213.18 volt