December 2019
Beginner
608 pages
11h 41m
English
In this appendix, we will demonstrate how the root mean square (RMS) value is derived in terms of infinitesimal calculus for the sinusoidal function.
A sinusoidal function is defined by the following generic equation.
where
In statistics, the RMS value of any function is given by the following equation:

We can simplify this equation by squaring both sides:

If we substitute f(t) by the sinusoidal function (C.1), we get

Solving…


For the purposes of this calculation, ...
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