Maybe this link will help hiren.dave more. It even includes calculation of a PWM input (1st order):
**broken link removed**
If he wants to pursue the second order approach, it also includes a calculator for that too:
**broken link removed**
As for reconciling the formulas, perhaps the link I gave made some practical assumptions, such as R2 = 10*R1 and C2 = 0.1*C1.
Do you have a link for your equation?
John
Hi John,
No i dont usually have links to my equations because i almost always calculate it out myself using something like nodal equations to start with. But the two formulas are easily checked, especially the one in that previous link because it is so short. Throw a couple resistors and capacitors into a circuit in the two stage configuration and run it in a simulator under AC analysis. Look for the point that is -3db from DC, and note the frequency. It wont be what that formula claims it is.
Do you use LT Spice?
The trick where R2=10*R1 etc. is an approximation to a two stage RC filter with the same resistor and cap values but an isolation stage in between, and i looked at that and that didnt work with the links formula either. I'll take another look at this next.
Ok took another look and yes it appears that if we let R2=R1*A and C2=C1/A and then let A approach infinity we get:
w0=sqrt(sqrt(2)-1)/(R1*C1)
which kinda agrees with the link. So yes he was assuming that R2>>R1 and C2<<C1. That's a typical assumption i guess but should be mentioned in the text somewhere. So strictly speaking he is talking about a disjointed two stage RC passive filter not just a general two stage RC passive filter.
Oh yeah, in the first link they calculate 159Hz for a two stage RC low pass, but then show a graph that indicates the -3db point is close to 60Hz which is a totally different frequency
Using the formula i posted i came up with 59.5Hz or close to that.
So they are calculating one frequency and showing a different one on the graph which says that something is wrong there.