ALTERNATING CURRENTS Peak and r.m.s. values of sinusoidal quantities.
DEFINITIONS
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The properties of a sinusoidally varying current have the same names as those for other waves.
- The peak value is the maximum voltage in the cycle.
- The root mean squared (R.M.S) value is the square root of the average squared voltage, for a sinusoidally varing quantity this is equal to the maximum
volatge V0 over root 2.
Vrms = V0 / SQR( 2 )
WHY R.M.S
The power dissipated in a electric circuit is given by 1/2 I2 R or putting V = I R in
P = 1/2 V2/ R, hence the R.M.S value of a AC circuit gives a value for the
DC circuit voltage that would be needed to deliver the same power.
Rob Coles 30 May 1996 11:48:10