When the field winding is supplied from external, separate d.c. supply i.e. excitation of field winding is separate then the generator is called separately excited generator. Schematic representation of this type is shown in the Fig.1.
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| Fig. 1 Separately excited generator | 
       The field winding of this type of generator has large number of turns of thin wire. So length of such winding is more with less cross-sectional area. So resistance of this field winding is high in order to limit the field current.
1.1 Voltage and Current Relations
       The field winding is excited separately, so the field current depends on supply voltage and resistance of the field winding.
       For armature side, we can see that it is supplying a load, demanding a load current of IL at a voltage of Vt  which is called terminal voltage.
       Now   Ia = IL 
       The internally induced e.m.f. E is supplying the voltage of the load hence terminal voltage Vt  is a part of E. But E is not equal to Vt   while supplying a load. This is because when armature current Ia flows through armature winding, due to armature winding resistance Ra  ohms, there is a voltage drop across armature winding equal to Ia  Ra    volts. The induced e.m.f. has to supply this drop, along with the terminal voltage Vt. To keep Ia  Ra drop to minimum, the resistance   Ra     is designed to be very very small. In addition to this drop, there is some voltage drop at the contacts of the brush called brush contact drop. But this drop is negligible and hence generally neglected. So in all, induced e.m.f. E has three components namely,
i) Terminal voltage Vt  
ii) Armature resistance drop  Ia   Ra    
iii) Brush contact drop Vbrush  
       So voltage equation for separately excited generator can be written as,
       E = Vt   + Ia   Ra + Vbrush
       Where E = (ΦPNZ)/(60A)
       Generally Vbrush  is neglected as is negligible compared to other voltages.
