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RMS: Voltage & Average Power

In mathematics, the root mean square (abbreviated RMS or rms), also known as the quadratic mean, is a statistical measure of the magnitude of a varying quantity. It is especially useful when variates are positive and negative, e.g., sinusoids. It can be calculated for a series of discrete values or for a continuously varying function. The name comes from the fact that it is the square root of the mean of the squares of the values. - Wikipedia

General Equation:

RMS (effective) value of any periodic function with period T.

rms equation - RF Cafe

Average of instantaneous power.

 Average power equation formula - RF Cafe  

Equation for a Sine Wave:
 
RMS & Average Power equation formula - RF Cafe
RMS & Average Power equation formula - RF Cafe

...for positive or negative half-cycle


RF Cafe Software

RF Cascade Workbook
 RF Cascade Workbook is a very extensive system cascaded component Excel workbook that includes the standard Gain, NF, IP2, IP3, Psat calculations, input & output VSWR, noise BW, min/max tolerance, DC power cauculations, graphing of all RF parameters, and has a graphical block diagram tool. An extensive User's Guide is also included. - Only $35.
RF system analysis including
frequency conversion & filters

Smith Chart™ for Excel
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