A 440-loop circular armature coil with a diameter of8.0cm rotates at 120rev/s in a uniform magnetic...
A 440-loop circular armature coil with a diameter of8.0cm rotates at 120rev/s in a uniform magnetic field of strength 0.30T .
What is the rms voltage output of the generator? Include appropriate units.
Homework Answers
angular frequency
W=120 rev/s
Converting rev/s to rad/s
1 rev/s =2pi rad/s
W=120*2pi =753.98 rad/s
Area of coil
A=pi*d^2/4 =pi*(0.08^2)/4
A=5.03*10^-3 m^2
Maximum Induced emf is
Emax =NBAW
Emax=440*0.3*5.03*10^-3*753.98
Emax=500.27 Volts
Rms output Voltage is
Erms =Emax/sqrt(2) =500.27/sqrt(2)
Erms=353.74 Volts
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