If the peak value of an alternating current is 8 A, then the RMS value of the current will be ________.

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SSC JE Electrical 10 Oct 2023 Shift 2 Official Paper-I

Answer 1

Concept:

An alternating current is an electric current that reverses direction periodically
The general equation is given by
- I = i0 sin (ωt)
- I = i0 cos (ωt)
RMS means Root-Mean-Square of instantaneous current
\(I_{rms} = \frac{I_0}{√2}\)
I0 = Peak current, ω = frequency

Calculation:

Given, I0 = Peak current = 8 A

\(I_{rms} = \frac{I_0}{√2}\)

= \(\frac{8}{\sqrt2} =4\sqrt2\)