|A Level Audio >Power and RMS< Pre-Amplifier Push-Pull Tone Controls|
Audio Power and RMS
Power = Volts x Amps = VI P = V2 / R P = I2 R
This calculation is good for steady direct current (DC) levels and it also works for amplifiers producing a square wave output.
In a normal alternating current (AC) circuit the average voltage and current is less than the equivalent maximum DC level. The root mean square (RMS) values are used instead.
RMS AC power produces the same heating or lighting effect as DC power.
To get the average of an AC signal, first square the values to remove the minus sign from the negative parts of the AC waves. Then square root the value to get back to the original levels without the minus signs. Finally get the average or mean.
If you just took the average, it would always be zero due to the negative parts of the AC waves.
VRMS = VPeak / 1.414 (1.414 is the square root of 2)
VRMS = 0.707 VPeak (0.707 = 1 / 1.414)
VRMS = 0.707 x VPeak = VPeak / √2
Power = VRMS2 / R = VPeak2 / ( 2 R ) = VPeak to Peak2 / ( 8 R )
Power = (20 x 0.707)2 / 8 = 202 / ( 2 x 8 ) = 402 / ( 8 x 8) = 25 Watts
This is the theoretical maximum power output.
In real life, MOSFET push pull source followers are not perfect. The output will be lower than expected because ...
Points 1 to 3 above can be fixed by running the op-amp driver and MOSFET biasing on a higher power supply voltage. As these are low power circuits, this is not too expensive to do.
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