Published by:
CGP EDU Academic Team
Published on: September 12, 2026
The root mean square value of the alternating current is equal to
A
Twice the peak value
B
Half the peak value
C
times the peak value D
Equal to the peak value
Text Solution
Verified by ExpertsThe correct answer is:
C
Step 1: The root mean square (RMS) value of an alternating current (AC) is defined as the value of the direct current (DC) that would deliver the same power to a load.
Step 2: For a sinusoidal AC voltage or current, the relationship between the RMS value (I_{rms}) and the peak value (I_{peak}) is given by the formula:
$$ I_{rms} = \frac{I_{peak}}{\sqrt{2}} $$
Step 3: This indicates that the RMS value is equal to \( \frac{1}{\sqrt{2}} \) times the peak value.
Therefore, the correct answer is Option C.
Step 2: For a sinusoidal AC voltage or current, the relationship between the RMS value (I_{rms}) and the peak value (I_{peak}) is given by the formula:
$$ I_{rms} = \frac{I_{peak}}{\sqrt{2}} $$
Step 3: This indicates that the RMS value is equal to \( \frac{1}{\sqrt{2}} \) times the peak value.
Therefore, the correct answer is Option C.
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