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If the peak current in an AC circuit is 5 A, what is the average current over on

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Question: If the peak current in an AC circuit is 5 A, what is the average current over one complete cycle?

Options:

  1. 5 A
  2. 2.5 A
  3. 0 A
  4. 7.07 A

Correct Answer: 2.5 A

Solution:

The average current over one complete cycle is I_avg = I_peak/√2 = 5/√2 = 2.5 A.

If the peak current in an AC circuit is 5 A, what is the average current over on

Practice Questions

Q1
If the peak current in an AC circuit is 5 A, what is the average current over one complete cycle?
  1. 5 A
  2. 2.5 A
  3. 0 A
  4. 7.07 A

Questions & Step-by-Step Solutions

If the peak current in an AC circuit is 5 A, what is the average current over one complete cycle?
  • Step 1: Understand that in an AC circuit, the current varies over time and has a peak value, which is the maximum current reached.
  • Step 2: The peak current given in the question is 5 A.
  • Step 3: To find the average current over one complete cycle, we use the formula: I_avg = I_peak / √2.
  • Step 4: Substitute the peak current value into the formula: I_avg = 5 A / √2.
  • Step 5: Calculate √2, which is approximately 1.414.
  • Step 6: Divide 5 A by 1.414 to find the average current: I_avg β‰ˆ 5 A / 1.414 β‰ˆ 3.54 A.
  • Step 7: Therefore, the average current over one complete cycle is approximately 3.54 A.
  • AC Circuit Current – Understanding the relationship between peak current and average current in an alternating current (AC) circuit.
  • RMS vs Average Current – Recognizing the difference between root mean square (RMS) current and average current in AC circuits.
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