What is the voltage at its peak negative value after a generator has turned 270 degrees?

When considering the relationship between the angle of rotation of a generator and the voltage it produces, it's important to visualize how alternating current (AC) voltage varies throughout a complete cycle. One full cycle of AC voltage encompasses 360 degrees. As a generator rotates, it produces a sinusoidal voltage waveform.

At 0 degrees, the output voltage begins at zero. As the generator rotates to 90 degrees, the voltage reaches its maximum positive value. Continuing to 180 degrees, the voltage returns to zero again. At 270 degrees, the generator has rotated three-quarters of the way around, which corresponds to the point where the sinusoidal waveform achieves its maximum negative value.

This is because the sine function, which describes AC voltage, takes on its lowest point at 270 degrees, resulting in the peak negative value of the waveform. Thus, after the generator has turned 270 degrees, the voltage equals the maximum negative value, confirming that the correct answer is indeed the maximum negative peak.