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What is the root mean square (RMS) value of an alternating current (AC) that has

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Question: What is the root mean square (RMS) value of an alternating current (AC) that has a peak value of 10 A?

Options:

  1. 5 A
  2. 7.07 A
  3. 10 A
  4. 14.14 A

Correct Answer: 7.07 A

Solution: 

The RMS value of an AC is given by I_rms = I_peak / √2. Therefore, I_rms = 10 A / √2 = 7.07 A.

What is the root mean square (RMS) value of an alternating current (AC) that has

Practice Questions

Q1
What is the root mean square (RMS) value of an alternating current (AC) that has a peak value of 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) that has a peak value of 10 A?
  • Step 1: Understand that the peak value of the AC current is given as 10 A.
  • Step 2: Know that the formula to find the RMS value 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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