A generator output voltage of 12 kV is equivalent to what corrected RMS voltage?

To determine the corrected RMS voltage from a generator output voltage of 12 kV, it's important to understand the relationship between the different types of voltages. In this case, the generator is likely providing a peak voltage output.

The output voltage stated as 12 kV is often considered as a peak value. To convert peak voltage to root mean square (RMS) voltage in AC systems, the formula that is commonly used is:

RMS Voltage = Peak Voltage / √2.

Using this formula, we can convert the 12 kV peak voltage to RMS voltage:

RMS Voltage = 12,000 Volts / √2 ≈ 12,000 Volts / 1.414 ≈ 8,485 Volts, which can be rounded to about 8484 Volts.

This calculation aligns with the choice provided, making it apparent that the corrected RMS voltage based on the generator output of 12 kV translates to approximately 8484 Volts. Thus, the relevance of this calculation is useful in practical applications where understanding the distinction between peak and RMS voltages is essential for safe and effective electrical system design and implementation.