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The armature resistance (Ra) of a Permanent Magnet DC (PMDC) motor can be calculated using the formula:
[ Ra = frac{V – E}{I} ]
Where:
– (Ra) is the armature resistance.
– (V) is the applied voltage across the motor terminals.
– (E) is the back electromotive force (EMF) in the motor.
– (I) is the armature current flowing through the motor.
This formula is derived from Ohm’s Law, considering that the voltage drop across the armature resistance (which is (I times Ra)) plus the back EMF (generated due to the motor’s rotation) sums up to the applied voltage (V).