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What is the root mean square (RMS) value of an alternating current (AC) if its p
What is the root mean square (RMS) value of an alternating current (AC) if its peak value is 10 A?
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Practice Questions
1 question
Q1
What is the root mean square (RMS) value of an alternating current (AC) if its peak value is 10 A?
5 A
7.07 A
10 A
14.14 A
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The RMS value of an AC is given by I_rms = I_peak / √2. Therefore, I_rms = 10 A / √2 = 7.07 A.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the root mean square (RMS) value of an alternating current (AC) if its peak value is 10 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.
Steps: 6
Show Steps
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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