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)
  1. RMS = Average
  2. RMS = Average × √2
  3. RMS = Average / √2
  4. 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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