ebeowulf17
- Joined Aug 12, 2014
- 3,307
There may not be a clear path connecting this numbers. As has been discussed already in this thread, audio specs are often "fudged" at best, just plain fraudulent at worst.Trying to get my mind on Ohms law and how to calculate it myself. was looking at an single channel IC chip datasheet and it says 40W on a 8 ohm load from 25V. Knowing (V) is for volts, (I) is current or amps and (R) is resistance or ohms . looking at the ohms law pyramid they say if you have any two you can find the others easily. Volts is on top divided by either of the other two to get the others value. The (I) and (R) are across so you times them.
let's start from the obvious 25V.
25V / 8 ohms = 3.125 amps
where do you go from here to get 40W
and google says to get watts times volts and amps 25 x 3.125 = 78.125
That said, I'm guessing that a lot of the disparity comes from the losses within the chip (nothing in real life is 100% efficient) and from the conversion of DC into AC. In order to get an equivalent amount of work done with AC or DC power, you need to match the DC voltage and the RMS AC voltage. RMS stands for root mean square, and in layman's terms, it's kind of like a very special type of weighted average. The key here is that AC voltage is going up and down constantly, so in order for the RMS voltage to be equivalent to a DC voltage, the peak AC voltages must be much higher (factor of 1.414 for a pure sine wave, other values for other waveforms.)
In audio amps, you've got a DC power supply being used to generate an AC output. It can't provide a peak voltage higher than its supply voltage, in fact there's usually voltage drop due to transistor forward voltages, so your peak AC output voltage is usually 1.4 volts or more below your DC input voltage. The RMS AC voltage is, at best, 1.414 times lower than that.
Applying all this to your situation, it might look something like this:
25V supply - 1.4V Vf = 23.6V peak to peak
23.6V peak / 1.414 = 16.69 V RMS
16.69 V RMS / 8 ohms = 2.09A
2.09A * 16.69V = 34.8W
Maybe I messed up a little there, or maybe they fudged a little, but at least it’s in the ballpark.
The short answer is that you should practice ohms law on simple DC circuits or simple AC circuits first, and get really comfortable with it before trying to apply it to more complicated AC/DC relationships.