**From:** Doug Brooks (*doug@eskimo.com*)

**Date:** Fri Feb 04 2000 - 11:52:55 PST

**Next message:**Hans Mellberg: "[SI-LIST] : RE:High-Speed Materials"**Previous message:**Ron Miller: "Re: [SI-LIST] : ESR and bypass caps"**In reply to:**Larry Smith: "Re: [SI-LIST] : ESR and bypass caps"**Next in thread:**Richard A. Schumacher: "Re: [SI-LIST] : ESR and bypass caps"**Reply:**Richard A. Schumacher: "Re: [SI-LIST] : ESR and bypass caps"

At 11:06 AM 2/4/00 -0800, you wrote:

*>Doug - Please allow me to address your comments below.
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*>
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*> > X-Sender: doug@mail.eskimo.com
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*> > Date: Thu, 03 Feb 2000 15:38:06 -0800
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*> >
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*> > 1. As ESR goes down, the troughs get deeper and the peaks get higher!
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*>
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*>Very true!
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*>
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*> > 2. The minimum impedance value is NOT NECESSARILY ESR (or ESR/n); it can
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*> > and is lower than that!
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*>
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*>I am not sure I understand this one. If we have a series RLC circuit,
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*>the minimum impedance will be when the positive and negative reactance
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*>(jwL and -1/jwC) cancel each other and you are left with R. I don't
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*>see how the minimum impedance can be any less than that. Are you
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*>considering a more complex circuit?
*

Well, the arithmetic in the article "proves" this point. That's why we

posted the article.

The minimum is ESR for a SINGLE RLC circuit, but not for parallel RLC

circuits unless (1) their self resonant frequencies are far apart or (2)

ESR's are very low. Intuitively we see that if two RLC circuits are very

close together, the minimum resistance will be closer to ESR/2. Of course

the whole point about bypass caps is that you have more than one!

*> > 3. The minimum impedance points are not necessarily at the capacitor
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*> > self-resonant points.
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*>
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*>With typical RLC values found in the industry today, we have always
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*>found the minimums to be at frequency 1/(2pi*sqrt(LC)), both in the
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*>lab and in simulation. Again, we have assumed a simple series RLC
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*>model for the capacitor. This model checks out very well with all of our
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*>lab measurements.
*

Again, we thought so too. This is true for a SINGLE RLC circuit. But put

two of them in parallel and the game changes!

Again, we prove this in the arithmetic. That IS the point of all this! With

very low ESRs or self resonant frequencies far apart, the minimums are not

exactly the self resonant frequency, but close enough not to matter. But

with lower ESRs or with groups of bypass capacitors whose self resonant

frequencies can be close together, there can be noticeable shifts between

the cap SRF and the min frequency. In carefully chosen cases, it could be

that the effects on a given cap by two other caps whose SRF's are on

opposite sides of the given cap may 'cancel' and the result look like the

given caps SRF.

*> > 4. For a given number of capacitors, better results can be obtained from
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*> > more capacitor values, with moderate ESRs, spread over a range than with a
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*> > smaller set of capacitor VALUES, with very low ESRs, even at well chosen
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*> > specific self resonant frequencies.
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*>
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*>I mostly agree with this.
*

The demonstration is in the article

*>We (Ray and I) took a quick look at your
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*>article. We would like to see you narrow in on inductance and ESR
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*>values that are typical in the industry today for surface mount
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*>chip size capacitors mounted on pcb's with vias down to power planes.
*

Since there are an infinite number of ways people can select bypass caps

and their values, that is why we are making the calculator tool we

developed (with some difficulty!) available for license. With it you can

formulate ANY combination of values you want and check what happens to the

min/max frequencies and impedance values.

Doug Brooks

.

************************************************************

See our updated message re in-house seminars on our web page

.

Doug Brooks, President doug@eskimo.com

UltraCAD Design, Inc. http://www.ultracad.com

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**Next message:**Hans Mellberg: "[SI-LIST] : RE:High-Speed Materials"**Previous message:**Ron Miller: "Re: [SI-LIST] : ESR and bypass caps"**In reply to:**Larry Smith: "Re: [SI-LIST] : ESR and bypass caps"**Next in thread:**Richard A. Schumacher: "Re: [SI-LIST] : ESR and bypass caps"**Reply:**Richard A. Schumacher: "Re: [SI-LIST] : ESR and bypass caps"

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