Question: What is the relationship between the RMS and average value of a sinusoidal AC current? (2023)
Options:
RMS = Average
RMS = Average × √2
RMS = Average / √2
RMS = Average × 2
Correct Answer: RMS = Average / √2
Exam Year: 2023
Solution:
For a sinusoidal AC current, the relationship is RMS = Average / √2.
What is the relationship between the RMS and average value of a sinusoidal AC cu
Practice Questions
Q1
What is the relationship between the RMS and average value of a sinusoidal AC current? (2023)
RMS = Average
RMS = Average × √2
RMS = Average / √2
RMS = Average × 2
Questions & Step-by-Step Solutions
What is the relationship between the RMS and average value of a sinusoidal AC current? (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 current.
Step 2: Understand what the average value means. The average value of a sinusoidal AC current is the mean value over one complete cycle.
Step 3: Know the relationship between RMS and average for sinusoidal AC. For a sinusoidal waveform, the RMS value is always less than the average value.
Step 4: Learn the formula. The formula that relates RMS and average value for sinusoidal AC current is: RMS = Average / √2.
Step 5: Use the formula. If you have the average value, you can find the RMS value by dividing the average by √2 (approximately 1.414).
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