Final answer:
The input power provided to the generator's input shaft must be increased when the load current for a resistive load attached to a Synchronous Generator is increased.
Step-by-step explanation:
When the load current (IT) for a resistive load attached to a Synchronous Generator (SG) is increased, the input power provided to the generator's input shaft must be increased. This is because the increase in load current results in an increase in the resistive power in the coil (P = I² R). The generator needs to provide more power to compensate for the increased power dissipated in the load.According to Lenz's law, the work needed to turn the generator's coils is equal to the energy required to overcome the electromagnetic forces acting against the rotation of the coils. When the load current is increased, the electromagnetic forces resisting the motion of the rotating parts of the generator also increase. Therefore, additional mechanical power is needed to maintain the rotation of the coils at a constant speed to produce the required output voltage and frequency.