# [SOLVED]how many poles & zeros can be obtained using 3Res 3Cap combinations?

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#### fire_bolt

##### Junior Member level 1
how many poles & zeros can be obtained using 3Res 3Cap combinations?

Solution

Are you interested, for any topology, of N energy storage elements, the generalized
analytical max number ?

Regards, Dana.

Are you interested, for any topology, of N energy storage elements, the generalized
analytical max number ?

Regards, Dana.

### fire_bolt

Points: 2

#### SunnySkyguy

How many would you expect with only 3 reactive parts?

The video shows that if there are N reactive elements that does not
necessarily imply N poles or zeros. Also discusses poles and zeros
at infinite freq.....

I looked for a paper that given a n node topology is it possible to
predicts.....so far cant find a basis.

Regards, Dana.

#### SunnySkyguy

For any reactive part X= from either L or C
and for number of Poles ,P and Zeroes, Z

$Σ ~Poles_{(max ~ always)}=Σ ~(L+C)=Σ~ Zeros_{(max)}, = Σ~Poles, ~~~~Σ~Z _{(actual)}= Σ~(L+C)−Σ~P_{@f>VHF}$

Z depends on number of Poles reduced from f at very high freq. such that Xc=0 etc. neglecting parasitics which also affects high f.

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### fire_bolt

Points: 2

#### Easy peasy

you can have 3 poles, 2 poles and a zero, that's it, 3 x RC delays = a lot of delay & ph shift .....

#### fire_bolt

##### Junior Member level 1
Thanks you all for your replies. I got it what you guys are trying to explain.

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