Consider a generator with a 450 turn coil on its armature an

Consider a generator with a 450 turn coil on its armature and a uniform magnetic field of 7.4 T. The diameter of the coil is 9.5 cm.

(a) If the V_RMS is 2450 V, at what frequency should we rotate the coil?
____________ RPM (revolutions per minute)

Rms Voltage

V_rms=2450 Volts

Maximum Induced emf

E_max=sqrt(2)*V_RMS =sqrt[2]*2450

E_max=3465 Volts

Area of the coil

A=pi*D²/4 =pi*0.095²/4 =7.088*10^-3 m²

Since

E_max=NBAW

=>W=E_max/NBA =3465/450*7.4*(7.088*10^-3)

W=146.8 rad/s

1 Radian/second =60 RPM

W=146.8*60

W=8808 RPM