Question
Download Solution PDFThe expression for the RMS value of the current of a triangular wave form is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept
The RMS value of any signal is given by:
\(RMS=\sqrt{{1\over T}\int_{-\infty}^{\infty}x^2(t)\space dt}\)
where, T = Time period of the signal
Calculation
\(RMS=\sqrt{{1\over T}\int_{0}^{T}({I_{max}\over T}t)^2\space dt}\)
\(RMS={I_{max}\over T}\sqrt{{1\over T}\int_{0}^{T}(t)^2\space dt}\)
\(RMS={I_{max}\over T}\sqrt{({t^3\over 3})_{0}^{T}}\)
\(RMS=\frac{\operatorname{Imax}}{\sqrt{3}}\)
Last updated on Jul 1, 2025
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