What is the relationship between RMS and average value of an AC waveform? (2023)

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Question: What is the relationship between RMS and average value of an AC waveform? (2023)

Options:

Correct Answer: RMS = Average / √2

Exam Year: 2023

Solution:

For a sinusoidal AC waveform, the RMS value is related to the average value by RMS = Average / √2.

What is the relationship between RMS and average value of an AC waveform? (2023)

What is the relationship between RMS and average value of an AC waveform? (2023)

Step 1: Understand what RMS means. RMS stands for Root Mean Square, which is a way to calculate the effective value of an AC waveform.
Step 2: Understand what the average value means. The average value of an AC waveform is the mean value over one complete cycle.
Step 3: For a sinusoidal waveform, the RMS value is always higher than the average value.
Step 4: The relationship between RMS and average value for a sinusoidal waveform is given by the formula: RMS = Average / √2.
Step 5: This means if you know the average value, you can find the RMS value by dividing the average by the square root of 2.

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