The rms value of alternating quantity is defined as the AC valve of current flowing through a given resistance for a given time produces the same amount of heat as produced by the direct current when flowing through the same resistance for the same time.
ROOT
MEAN SQUARE (RMS) VALVE
The
rms value of alternating quantity is defined as the AC valve of current flowing
through a given resistance for a given time produces the same amount of heat as
produced by the direct current when flowing through the same resistance for the
same time.
Graphical Method:

Let
us consider AC sine wave. Let i,, i2, i3, ..., i, be the instantaneous valve of
the current.
According
to Joule's law, when a current is passing through any resistor heat is
produced.
Heat
produced per second = I2R Joules/sec

Basic Electrical, Electronics And Instrumentation Engineering: UNIT I: Electrical Circuits : Tag: : Methods - Root Mean Square (RMS) Value
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