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The relationship $V_{\mathrm{rms}}=V_{\max } / \sqrt{2}$ is valid only for voltages that vary sinusoidally. Find the relationship between $V_{\mathrm{rms}}$ and $V_{\max }$ for the "square-wave" voltage shown in FIGURE 24-30.
$\therefore V_{n m s}=\mathrm{V}_{\max }$
Physics 102 Electricity and Magnetism
Chapter 24
Alternating-Current Circuits
Current, Resistance, and Electromotive Force
Direct-Current Circuits
Electromagnetic Induction
Alternating Current
University of Michigan - Ann Arbor
Hope College
University of Sheffield
University of Winnipeg
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in this question, we are asking to calculate what is the relation between the max and the R. M s in the case off a square wave. So to begin, we take this graphic and square it. So we take this square off every single point off that graphic and as the area, and as a result, we get the following. So bye squaring we get this constant graphic for any instant of time. So in the case of a square wave, the squared is equals. Two remarks squared at any instant of time. So the function these squared is a constant function. And because of that, the average value off V squared is equal to the value off that function. So the average value off the square is equals. Two remarks squared, which is the value of the function V's cornered at any instant of time. And by definition, the V r m s is equals two the square root off the average value off three squared which is equals two ve months, as we can see. So the relation between V, R. M s and V marks in that case is V are a mess is equals. Two remarks
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