Question
Download Solution PDFThe instantaneous current in a circuit is given by i = 4 cos (ωt + θ) A. The RMS value of the current is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
- 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, the equation of alternating current
i = 4 cos (ωt + θ) A
\(I_{rms} = \frac{I_0}{√2}\)
= \(\frac{4}{\sqrt2} =2\sqrt2\)
Last updated on Jun 16, 2025
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