Since the motor develops a 100 V back emf (electromotive force) at its normal operating speed, its current is 1.67 A.
The relation between current (I), voltage(V), and resistor (R) in a direct current circuit is:
V = I . R
At start:
V = 120 V
I = 10 A
Hence, we can find the equivalent resistor:
R = V/ I = 120 / 10 = 12 Ohm
When the motor is running, it develops 100 V back emf.
Therefore, the net voltage is
= 120 V - 100 V = 20 V
and hence, the current:
I = 20 / 12 = 1.67 A
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