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What is the root mean square (RMS) value of an alternating current (AC) if its p

Practice Questions

Q1
What is the root mean square (RMS) value of an alternating current (AC) if its peak value is 10 A?
  1. 5 A
  2. 7.07 A
  3. 10 A
  4. 14.14 A

Questions & Step-by-Step Solutions

What is the root mean square (RMS) value of an alternating current (AC) if its peak value is 10 A?
Correct Answer: 7.07 A
  • Step 1: Understand that the peak value of the AC current is given as 10 A.
  • Step 2: Know the formula to find the RMS value, which is I_rms = I_peak / √2.
  • Step 3: Substitute the peak value into the formula: I_rms = 10 A / √2.
  • Step 4: Calculate √2, which is approximately 1.414.
  • Step 5: Divide 10 A by 1.414 to find the RMS value: I_rms = 10 A / 1.414.
  • Step 6: Perform the division to get I_rms ≈ 7.07 A.
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