As each turn of the armature coil is moving from one field to another, links a different number of lines of flow, this change in flux linkages which induces a voltage in the conductor, the voltage over gr ande induced at the moment that this change is the biggest, this is , the instant in which the conductor cuts the field angle.
As the rotor rotates at a constant speed induces a sine wave voltage, v alue of this voltage depends on the speed of the rotor, the faster the voltage is higher.
voltage value also depends and n of the magnetic field strength, the higher the field strength greater induced voltage.
For a three-phase generator, it must have three armature coils which are displaced each 120 °, each of the coils or groups of coils are called Phase , so that three phases are designated as Phase A, Phase B and Phase C. 
The magnitude of the voltage in each phase is calculated as: Emax = Bm LWR (volts) Where
Bm: maximum flux density produced by the rotor field, expressed in tesla.
l: length of both sides of the magnetic field coil m.
W: angular velocity of rotor (= 2Π x frequency rad / sec)
r: radius of Armor m.
voltage waves obtained for each phase are given by the changes in flux linkages magnates, when the field is directly opposite to the coil is given the maximum change in flux linkages and the maximum induced voltage is given in that instant.
Source: The practical book of generators, transformers and electric motors - Gilberto Enriquez Harper Bm: maximum flux density produced by the rotor field, expressed in tesla.
l: length of both sides of the magnetic field coil m.
W: angular velocity of rotor (= 2Π x frequency rad / sec)
r: radius of Armor m.
voltage waves obtained for each phase are given by the changes in flux linkages magnates, when the field is directly opposite to the coil is given the maximum change in flux linkages and the maximum induced voltage is given in that instant.
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