RMS Value of a Complex Wave
In the case of RMS Value of a Complex Wave also, either the mid-ordinate method (when equation of the wave is not known) or analytical method (when equation of the wave is known) may be used. Suppose a current having the equation i = 12 sin ωt + 6 sin (3ωt − π/6) + 4 sin (5ωt + π/3) flows through a resistor of R ohm. Then, in the time period T second of the wave, the effect due to each component is as follows :
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Hence, for complex waves the rule is as follows :
The r.m.s. value of a complex current wave is equal to the square root of the sum of the squares of the r.m.s. values of its individual components.
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