Final answer:
Using Ohm's Law (V = I * R), the voltage of the source for a motor with a resistance of 31 ohms and a current of 3.8A is calculated as 117.8 V, matching option A.
Step-by-step explanation:
The question asks for the voltage of the source for a motor with an operating resistance of 31 ohms and a current of 3.8A flowing through it. To calculate the voltage of the source, we can use Ohm's Law, which states that Voltage (V) equals Current (I) multiplied by Resistance (R), or V = I * R.
Plugging in the given values:
V = 3.8A * 31Ω
V = 117.8 V
Therefore, the voltage of the source is 117.8 V, which corresponds to option A.