Answer :

The output frequency of an AC generator (alternator) depends on the rotational speed of the generator's rotor.

The output frequency of an AC generator, often referred to as an alternator, is determined by the rotational speed of its rotor. Specifically, it follows a simple relationship known as the "generator equation" or "generator formula." According to this equation, the frequency (f) of the alternating current produced by the generator is directly proportional to the number of rotor revolutions per second (N) and is also influenced by a constant value (K):

f = K * N

In practical terms, this means that as the rotor spins faster, it induces more cycles of alternating current per second, resulting in a higher frequency output. Conversely, slowing down the rotor decreases the frequency.

The rotor's rotational speed can be controlled through various means, such as adjusting the mechanical input (e.g., changing the speed of a turbine or engine connected to the generator) or using electronic control systems. This ability to control the output frequency is crucial in various applications, including power generation, where matching the frequency to the grid's standard is essential for stable and synchronized electrical distribution.

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