Registered Electrical Engineering Licensure Practice Exam

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How is the frequency of an AC generator calculated for a 1500 rpm, 2-pole machine?

20 Hz

25 Hz

To determine the frequency of an AC generator, you can use the formula that relates the speed of the generator (in revolutions per minute), the number of poles, and the resulting frequency in hertz. The formula is:

\[ \text{Frequency (Hz)} = \frac{\text{Speed (RPM)} \times \text{Number of Poles}}{120} \]

In this instance, for a 1500 rpm, 2-pole machine, you substitute the values into the formula:

1. Speed = 1500 rpm

2. Number of Poles = 2

Plugging in the values:

\[ \text{Frequency} = \frac{1500 \times 2}{120} \]

Calculating that gives:

\[ \text{Frequency} = \frac{3000}{120} = 25 \text{ Hz} \]

Thus, the frequency of the AC generator is 25 Hz. This calculation is essential in understanding how the mechanical design and operational characteristics of the generator directly affect the electrical output frequency. The frequency determines how the AC power can be utilized and is crucial for synchronization within power systems and equipment.

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