Question
Download Solution PDFWhat is the RMS value of a sawtooth voltage signal having a peak value of 10 V and a period of 100 s?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept
The RMS value of an alternating current is the steady (D.C) current that produces the same amount of heat as the A.C.
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
The RMS value of a sawtooth voltage signal is given by:
\(V_{RMS}={V_m\over \sqrt{3}}\)
where, Vm = Peak value (maximum value)
Given, Vm = 10 V
\(V_{RMS}={10\over \sqrt{3}} \space V\)
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