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# Voltage And Power Equations of a DC Motor

## Voltage And Power Equations of a DC Motor

Voltage Equation of the DC Motor
Input Voltage provided to the motor armature can perform the following two tasks:
Obtain control on Back E.M.F Eb of the Motor.
Provide supply to the Ohmic IaRa drop.
i.e.

V = Eb + IaRa ………………….(1)

Where
Eb = Back E.M.F
IaRa   = Armature Current  X  Armature Resistance
This is called “Voltage Equation of the DC Motor”.
Power equation of a DC Motor
Multiply both sides of Equation (1) by Ia , we get,

VIa= EbIa +Ia2Ra ………. (2)

where,
VIa = Input Power supply (Armature Input)
EbIa = Mechanical Power developed in Armature (Armature Output)

Ia2Ra= Power loss in armature (Armature Cupper (Cu) Loss)

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