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Capacitor ESR ??

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Jim Thompson

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Feb 11, 2004, 2:51:20 PM2/11/04
to
I'm having trouble tracking down typical Capacitor ESR values for
Aluminum and Tantalum electrolytics.

Can someone point me to a page?

Or some rules of thumb I can use in simulations?

Thanks!

...Jim Thompson
--
| James E.Thompson, P.E. | mens |
| Analog Innovations, Inc. | et |
| Analog/Mixed-Signal ASIC's and Discrete Systems | manus |
| Phoenix, Arizona Voice:(480)460-2350 | |
| E-mail Address at Website Fax:(480)460-2142 | Brass Rat |
| http://www.analog-innovations.com | 1962 |

I love to cook with wine. Sometimes I even put it in the food.

James Beck

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Feb 11, 2004, 2:58:17 PM2/11/04
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In article <tp1l20dnivs12k650...@4ax.com>,
thegr...@example.com says...

> I'm having trouble tracking down typical Capacitor ESR values for
> Aluminum and Tantalum electrolytics.
>
> Can someone point me to a page?
>
> Or some rules of thumb I can use in simulations?
>
> Thanks!
>
> ...Jim Thompson
>

I did a quick look at some of our suppliers websites and I think this
has some references to Al Cap ESR in it.

http://www.nichicon.com/english/lib/alminium.pdf

Jim

Rene Tschaggelar

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Feb 11, 2004, 3:04:51 PM2/11/04
to
Jim Thompson wrote:
> I'm having trouble tracking down typical Capacitor ESR values for
> Aluminum and Tantalum electrolytics.
>
> Can someone point me to a page?
>
> Or some rules of thumb I can use in simulations?

The ESR is a matter of technology.
Have a look at the manufacturer's pages, eg
http://www.epcos.com

Rene
--
Ing.Buero R.Tschaggelar - http://www.ibrtses.com
& commercial newsgroups - http://www.talkto.net

Jim Thompson

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Feb 11, 2004, 3:09:40 PM2/11/04
to

Thanks, At least that gives me some ball-park numbers.

Andreas Hadler

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Feb 11, 2004, 4:29:16 PM2/11/04
to
Jim Thompson <thegr...@example.com> wrote:

>I'm having trouble tracking down typical Capacitor ESR values for
>Aluminum and Tantalum electrolytics.
>
>Can someone point me to a page?
>

Just look up in LTspice's capacitor list to see what
voltage/capacity/ESR ranges are viable?

aha
--
"Computers are useless. They can only give you answers."
-Pablo Picasso

Mike Rocket J. Squirrel Elliott

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Feb 11, 2004, 6:22:29 PM2/11/04
to
Jim Thompson wrote:

> I'm having trouble tracking down typical Capacitor ESR values for
> Aluminum and Tantalum electrolytics.
>
> Can someone point me to a page?
>
> Or some rules of thumb I can use in simulations?
>
> Thanks!
>
> ...Jim Thompson

Jim,

Capacitor manufacturers no longer like to state ESR, because it depends
on the frequency of interest. As you may have noticed, they do state
Dissipation Factor (DF) instead. I had to do some poking around a few
weeks ago to find the secret formula to convert DF into ESR, and here's
what I learned.

DF/(2*pi*frequency*capacitance) = R

Assume a data sheet DF of .05% And assume you are doing some work at,
say, 1kHz, and the capacitance is, say, 20uF.

So in this instance:

0.0005/(2*3.1416*1000*.000020 = 3.97 milliohms

--
Mike "Rocket J Squirrel" Elliott
71 VW Type 2 -- the Wonderbus (AKA the Saunabus in summer)

Jim Thompson

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Feb 11, 2004, 6:55:09 PM2/11/04
to
On Wed, 11 Feb 2004 15:22:29 -0800, "Mike Rocket J. Squirrel Elliott"
<j.michael...@REMOVETHEOBVIOUSadelphiaDOT.net> wrote:

>Jim Thompson wrote:
>
>> I'm having trouble tracking down typical Capacitor ESR values for
>> Aluminum and Tantalum electrolytics.
>>
>> Can someone point me to a page?
>>
>> Or some rules of thumb I can use in simulations?
>>
>> Thanks!
>>
>> ...Jim Thompson
>Jim,
>
>Capacitor manufacturers no longer like to state ESR, because it depends
>on the frequency of interest. As you may have noticed, they do state
>Dissipation Factor (DF) instead. I had to do some poking around a few
>weeks ago to find the secret formula to convert DF into ESR, and here's
>what I learned.
>
>DF/(2*pi*frequency*capacitance) = R
>
>Assume a data sheet DF of .05% And assume you are doing some work at,
>say, 1kHz, and the capacitance is, say, 20uF.
>
>So in this instance:
>
>0.0005/(2*3.1416*1000*.000020 = 3.97 milliohms

Wouldn't that mean you need DF given at a specific frequency so that
you can work back to ESR (which should(?) be fairly constant)?

John Popelish

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Feb 11, 2004, 7:57:24 PM2/11/04
to
"Mike Rocket J. Squirrel Elliott" wrote:
>
> Jim Thompson wrote:
>
> > I'm having trouble tracking down typical Capacitor ESR values for
> > Aluminum and Tantalum electrolytics.
> >
> > Can someone point me to a page?
> >
> > Or some rules of thumb I can use in simulations?
> >
> > Thanks!
> >
> > ...Jim Thompson
> Jim,
>
> Capacitor manufacturers no longer like to state ESR, because it depends
> on the frequency of interest. As you may have noticed, they do state
> Dissipation Factor (DF) instead. I had to do some poking around a few
> weeks ago to find the secret formula to convert DF into ESR, and here's
> what I learned.
>
> DF/(2*pi*frequency*capacitance) = R
>
> Assume a data sheet DF of .05% And assume you are doing some work at,
> say, 1kHz, and the capacitance is, say, 20uF.
>
> So in this instance:
>
> 0.0005/(2*3.1416*1000*.000020 = 3.97 milliohms

I think dissipation factor includes several factors, one of which is
ESR. The bigger factor at higher frequencies is a fairly constant per
cycle loss. Your formula looks like it is interpreting those per
cycle losses as ESR. Not very useful, I suspect.

--
John Popelish

Mike Rocket J. Squirrel Elliott

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Feb 11, 2004, 7:56:35 PM2/11/04
to
Jim Thompson wrote:
> On Wed, 11 Feb 2004 15:22:29 -0800, "Mike Rocket J. Squirrel Elliott"
> <j.michael...@REMOVETHEOBVIOUSadelphiaDOT.net> wrote:
>
>
>>Jim Thompson wrote:
>>
>>
>>>I'm having trouble tracking down typical Capacitor ESR values for
>>>Aluminum and Tantalum electrolytics.
>>>
>>>Can someone point me to a page?
>>>
>>>Or some rules of thumb I can use in simulations?
>>>
>>>Thanks!
>>>
>>> ...Jim Thompson
>>
>>Jim,
>>
>>Capacitor manufacturers no longer like to state ESR, because it depends
>>on the frequency of interest. As you may have noticed, they do state
>>Dissipation Factor (DF) instead. I had to do some poking around a few
>>weeks ago to find the secret formula to convert DF into ESR, and here's
>>what I learned.
>>
>>DF/(2*pi*frequency*capacitance) = R
>>
>>Assume a data sheet DF of .05% And assume you are doing some work at,
>>say, 1kHz, and the capacitance is, say, 20uF.
>>
>>So in this instance:
>>
>>0.0005/(2*3.1416*1000*.000020 = 3.97 milliohms
>
>
> Wouldn't that mean you need DF given at a specific frequency so that
> you can work back to ESR (which should(?) be fairly constant)?

At 0Hz, the ESR of a capacitor will be darn high. It drops as one goes
up in frequency until inductance takes over.

When you do find specs for ESR in capacitor data sheets, they specify at
which frequency (usually 120Hz in the US) they are providing the ESR for.

According to
http://www.cooltron.com/component/technical/library_of_capacitor.shtml

7. Equivalent Series Resistance (ESR)

It's the sum of all the internal resistances of a capacitor measured in
Ohms. It includes:

- Resistance due to aluminum oxide thickness
- Resistance due to electrolyte / spacer combination
- Resistance due to materials (Foil length; Tabbing; Lead wires; Ohmic
contact resistance)

The lower the ESR the higher the current carrying ability the capacitor
will have. The amount of heat generated by ripple current depends upon
the ESR of the capacitor.

ESR is both frequency and temperature dependent, increasing either will
cause a reduction in ESR. The ESR is an important parameter in
calculating life expectancy as the power dissipation (internally
generated heat) is directly proportional to its value.

Martin Riddle

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Feb 11, 2004, 10:57:34 PM2/11/04
to
Have you tried www.kemet.com , their AO-CAP alum. caps have ESR@100k ~25-15 mohm.
For Tants see the 'Solid Tant Chip Performance characteristics'. Here is where DF=ESR/Xc=2xPIxFxCxR

They also have a spice manual.
Have fun

"Jim Thompson" <thegr...@example.com> wrote in message news:tp1l20dnivs12k650...@4ax.com...

Mike Rocket J. Squirrel Elliott

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Feb 11, 2004, 11:09:16 PM2/11/04
to
John Popelish wrote:

You may be right. My formula was provided by the engineer at ASC, and
I've also seen it on some online sites as well. I'll bet that the
formula is useful for line-frequency based power supplies, though.

qrk

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Feb 11, 2004, 11:14:30 PM2/11/04
to

Jim, if you tell me what style capacitor (el cheapo, low-esr, ...), I
might be able to measure the Z on our network analyzer. Z data varies
quite a bit depending on capacitor construction. ESR can vary quite a
bit over frequency, perhaps over 100 to 1 for some ceramic caps (as
reported by AVX's SpiCap program.

FYI, AVX <http://www.avxcorp.com/ProdInfo_Listing.asp> has good data
on their ceramic and tantalum caps.
Aloha, Mark

Jamie

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Feb 12, 2004, 4:55:35 AM2/12/04
to
Hmm, that looks so much like our Q-factor specs that we
perform for our Mill Spec Mica Dips. and D40's etc.
:)
At least that is what we do at Semco.

Leeper

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Feb 12, 2004, 4:04:00 AM2/12/04
to
I've tried some of these AO caps, the A700 series, and one
nice thing, unlike alot of tantalums and some niobium, is they
don't go up in flames....ran a 4V version to 14V and held it
there, and then back down, it nearly recovered all its original
characteristics.

"Martin Riddle" <martin...@hotmail.com> wrote in message
news:OQCWb.894$WW3...@newsread2.news.pas.earthlink.net...

Fred Bloggs

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Feb 12, 2004, 9:06:57 AM2/12/04
to

Au contraire- if you look at that so-called formula it is the definition
of DF which is the cotangent of the impedance angle of a simple series
R-C equivalent circuit. The DF being small allows the identity between
ratio and tangent function. The small in-phase component of voltage with
current is exactly that fraction of the VA producing dissipated versus
stored energy per cycle and is the equivalent resistance at the
measurement conditions, where resistance is abstracted from being just a
chunk material of finite conductivity to an energy-to-heat conversion
element. It will be non-linear, a functional dependence on temperature,
frequency, and signal level.

John Popelish

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Feb 12, 2004, 6:37:34 PM2/12/04
to

If you want to interpret all losses as if they were a result of an
actual series resistance, and the total losses are low, the formula is
fine. If you want to know what the parallel losses, the series losses
and the hysterisis losses are, it is not much use. I think the best
way to measure the actual series resistance is to subject the cap to
its series resonant frequency and and measure its impedance.
--
John Popelish

Jim Thompson

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Feb 12, 2004, 6:43:34 PM2/12/04
to
On Thu, 12 Feb 2004 18:37:34 -0500, John Popelish <jpop...@rica.net>
wrote:

[snip]


>If you want to interpret all losses as if they were a result of an
>actual series resistance, and the total losses are low, the formula is
>fine. If you want to know what the parallel losses, the series losses
>and the hysterisis losses are, it is not much use. I think the best
>way to measure the actual series resistance is to subject the cap to
>its series resonant frequency and and measure its impedance.

Are you saying that the best model would be a series R-L-C evaluated
at resonance?

John Popelish

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Feb 12, 2004, 7:04:03 PM2/12/04
to
Jim Thompson wrote:
>
> On Thu, 12 Feb 2004 18:37:34 -0500, John Popelish <jpop...@rica.net>
> wrote:
>
> [snip]
> >If you want to interpret all losses as if they were a result of an
> >actual series resistance, and the total losses are low, the formula is
> >fine. If you want to know what the parallel losses, the series losses
> >and the hysterisis losses are, it is not much use. I think the best
> >way to measure the actual series resistance is to subject the cap to
> >its series resonant frequency and and measure its impedance.
>
> Are you saying that the best model would be a series R-L-C evaluated
> at resonance?

Yes. I think ESR shows up most clearly under those conditions.

--
John Popelish

Mike Engelhardt

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Feb 12, 2004, 7:32:08 PM2/12/04
to
Jim,

> Are you saying that the best model would be a series
> R-L-C evaluated at resonance?

Maybe I should interject here that the equivalent circuit
of an AL electrolytic is really a ladder network:

---/\/\/\---o---/\/\/\---o---/\/\/\---o...
| | |
--+-- --+-- --+--
--+-- --+-- --+--
| | |
------------o------------o------------o...

LTspice's capacitor database just uses 1 R and 1 C
as an quick and effective approximation. But if you
use 2 R's and C's, you can model the phase angle of
the impedance correct within a few degrees over many
decades of freq. Three 3 R's and 3 C's should let
you model more accurately than you can measure with
any component analyzer I know of.

--Mike


Winfield Hill

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Feb 12, 2004, 8:50:24 PM2/12/04
to
Mike Engelhardt wrote...

>
> Maybe I should interject here that the equivalent circuit
> of an AL electrolytic is really a ladder network:
>
> ---/\/\/\---o---/\/\/\---o---/\/\/\---o...
> | | |
> --+-- --+-- --+--
> --+-- --+-- --+--
> | | |
> ------------o------------o------------o...
>
> LTspice's capacitor database just uses 1 R and 1 C
> as an quick and effective approximation. But if you
> use 2 R's and C's, you can model the phase angle of
> the impedance correct within a few degrees over many
> decades of freq. Three 3 R's and 3 C's should let
> you model more accurately than you can measure with
> any component analyzer I know of.

Do you know of a good way to obtain the values of the
3 R's and 3 C's, given the component-analyzer data?

Thanks,
- Win

whill_at_picovolt-dot-com

Mike Engelhardt

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Feb 12, 2004, 11:38:36 PM2/12/04
to
Win,

For 2 R's and 2 C's, a good initial guess was each C
was half the cap's "DC" capacitance and each R was
equal to the cap's ESR. So my initial guess for 3 R's
and 3 C's is each C is 1/3 the total cap an each R is
equal to the nominal ESR.

--Mike


John Woodgate

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Feb 13, 2004, 4:31:40 AM2/13/04
to
I read in sci.electronics.design that John Popelish <jpop...@rica.net>
wrote (in <402C0E3E...@rica.net>) about 'Capacitor ESR ??', on
Thu, 12 Feb 2004:

>If you want to know what the parallel losses, the series losses
>and the hysterisis losses are, it is not much use.


You can separate parallel and series losses by measuring at more than
one frequency; two if inductance is negligible, three if it isn't. I'd
need to think about hysteresis loss: it isn't something that is normally
significant in capacitors.

> I think the best way
>to measure the actual series resistance is to subject the cap to its
>series resonant frequency and and measure its impedance.

That still gives you a lumped 'equivalent series resistance' figure, and
often not a useful one, because you won't be subjecting the capacitor to
frequencies anywhere near the resonance.
--
Regards, John Woodgate, OOO - Own Opinions Only.
The good news is that nothing is compulsory.
The bad news is that everything is prohibited.
http://www.jmwa.demon.co.uk Also see http://www.isce.org.uk

John Woodgate

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Feb 13, 2004, 4:32:59 AM2/13/04
to
I read in sci.electronics.design that Mike Engelhardt
<pm...@concentric.net> wrote (in <c0h5u8$r...@dispatch.concentric.net>)

about 'Capacitor ESR ??', on Thu, 12 Feb 2004:
>Maybe I should interject here that the equivalent circuit of an AL
>electrolytic is really a ladder network:
>
>---/\/\/\---o---/\/\/\---o---/\/\/\---o...
> | | |
> --+-- --+-- --+--
> --+-- --+-- --+--
> | | |
>------------o------------o------------o...
>
>LTspice's capacitor database just uses 1 R and 1 C as an quick and
>effective approximation. But if you use 2 R's and C's, you can model
>the phase angle of the impedance correct within a few degrees over many
>decades of freq. Three 3 R's and 3 C's should let you model more
>accurately than you can measure with any component analyzer I know of.

If you use more than one R and C, you need to add inductors as well.

Jeroen

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Feb 13, 2004, 7:17:10 AM2/13/04
to
Jim Thompson wrote:
> I'm having trouble tracking down typical Capacitor ESR values for
> Aluminum and Tantalum electrolytics.
>

About 1 Ohm for small values (~1uF), 300 mOhm for medium range,
say 10 to 100 uF, and 100 mOhm for largish values, above 100 uF.

Aluminium or tantalum doesn't make much difference. It matters
more whether the manufacturer cares about ESR or not.

Add about 4nH of inductance for each tenth of an inch between
the legs, if that matters.

Those are ballpark figures, of course.

Jeroen

John Popelish

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Feb 13, 2004, 11:40:55 AM2/13/04
to
John Woodgate wrote:
(snip)

> I'd
> need to think about hysteresis loss: it isn't something that is normally
> significant in capacitors.

Think about high K ceramic capacitors.

--
John Popelish

John Woodgate

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Feb 13, 2004, 12:19:37 PM2/13/04
to
I read in sci.electronics.design that John Popelish <jpop...@rica.net>
wrote (in <402CFE17...@rica.net>) about 'Capacitor ESR ??', on
Fri, 13 Feb 2004:
I'd really rather not. Ugh!(;-)

I agree that they can be hysterical; you can hear them screaming if you
develop any audio voltage across them.

Mike Engelhardt

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Feb 14, 2004, 12:11:50 PM2/14/04
to
John,

>>Maybe I should interject here that the equivalent circuit of an AL
>>electrolytic is really a ladder network:
>>
>>---/\/\/\---o---/\/\/\---o---/\/\/\---o...
>> | | |
>> --+-- --+-- --+--
>> --+-- --+-- --+--
>> | | |
>>------------o------------o------------o...
>>
>>LTspice's capacitor database just uses 1 R and 1 C as an quick and
>>effective approximation. But if you use 2 R's and C's, you can model
>>the phase angle of the impedance correct within a few degrees over many
>>decades of freq. Three 3 R's and 3 C's should let you model more
>>accurately than you can measure with any component analyzer I know of.
>
>If you use more than one R and C, you need to add inductors as well.

It's been a while since I looked at this, but when I did, the resistive
impedance sufficiently swapped the inductive reactance to negate it's
need to model. Anyway, the conclusion I came to was that two R's and
two C's was accurate enough.

--Mike


Mike Rocket J. Squirrel Elliott

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Feb 19, 2004, 11:48:14 AM2/19/04
to
John Woodgate wrote:

> I read in sci.electronics.design that John Popelish <jpop...@rica.net>
> wrote (in <402CFE17...@rica.net>) about 'Capacitor ESR ??', on
> Fri, 13 Feb 2004:
>
>>John Woodgate wrote:
>>(snip)
>>
>>>I'd
>>>need to think about hysteresis loss: it isn't something that is normally
>>>significant in capacitors.
>>
>>Think about high K ceramic capacitors.
>>
>
> I'd really rather not. Ugh!(;-)
>
> I agree that they can be hysterical; you can hear them screaming if you
> develop any audio voltage across them.

I wonder if that's piezo effect . . . "crystal" or ceramic microphones
can be acoustic radiators if you apply voltage across them.

Mike Rocket J. Squirrel Elliott

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Feb 20, 2004, 8:48:05 AM2/20/04
to
DarkMatter wrote:

> On Thu, 19 Feb 2004 08:48:14 -0800, "Mike Rocket J. Squirrel Elliott"
> <j.michael...@REMOVETHEOBVIOUSadelphiaDOT.net> Gave us:


>
>
>>I wonder if that's piezo effect . . . "crystal" or ceramic microphones
>>can be acoustic radiators if you apply voltage across them.
>
>

> Of course it is. Just not to the same degree that bona fide piezo
> ceramic materials exhibit.

How would one model that loss in a ceramic cap?

Mike Rocket J. Squirrel Elliott

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Feb 20, 2004, 10:58:55 AM2/20/04
to
DarkMatter wrote:

> On Fri, 20 Feb 2004 05:48:05 -0800, "Mike Rocket J. Squirrel Elliott"


> <j.michael...@REMOVETHEOBVIOUSadelphiaDOT.net> Gave us:
>
>
>>DarkMatter wrote:
>>
>>
>>>On Thu, 19 Feb 2004 08:48:14 -0800, "Mike Rocket J. Squirrel Elliott"
>>><j.michael...@REMOVETHEOBVIOUSadelphiaDOT.net> Gave us:
>>>
>>>
>>>
>>>>I wonder if that's piezo effect . . . "crystal" or ceramic microphones
>>>>can be acoustic radiators if you apply voltage across them.
>>>
>>>
>>> Of course it is. Just not to the same degree that bona fide piezo
>>>ceramic materials exhibit.
>>
>>How would one model that loss in a ceramic cap?
>
>

> dielectric. Standard capacitor stuff. The pressure imposed on the
> dielectric behaves similarly. Why is it a loss?

It makes sound, otherwise acoustic energy for free?

Ben Bradley

unread,
Feb 20, 2004, 1:48:32 PM2/20/04
to
In sci.electronics.design, "Mike Rocket J. Squirrel Elliott"
<j.michael...@REMOVETHEOBVIOUSadelphiaDOT.net> wrote:

>DarkMatter wrote:
>
>> On Fri, 20 Feb 2004 05:48:05 -0800, "Mike Rocket J. Squirrel Elliott"
>> <j.michael...@REMOVETHEOBVIOUSadelphiaDOT.net> Gave us:
>>
>>
>>>DarkMatter wrote:
>>>
>>>
>>>>On Thu, 19 Feb 2004 08:48:14 -0800, "Mike Rocket J. Squirrel Elliott"
>>>><j.michael...@REMOVETHEOBVIOUSadelphiaDOT.net> Gave us:
>>>>
>>>>
>>>>
>>>>>I wonder if that's piezo effect . . . "crystal" or ceramic microphones
>>>>>can be acoustic radiators if you apply voltage across them.
>>>>
>>>>
>>>> Of course it is. Just not to the same degree that bona fide piezo
>>>>ceramic materials exhibit.
>>>
>>>How would one model that loss in a ceramic cap?
>>
>>
>> dielectric. Standard capacitor stuff. The pressure imposed on the
>> dielectric behaves similarly. Why is it a loss?
>
>It makes sound, otherwise acoustic energy for free?

Furthermore, due to mechanical resonances, the loss vs. frequency
is non-linear in an odd way. You could model this with a network of
several RLC's, but it's easier to just remember that ceramic
capacitors are crap.

-----
http://mindspring.com/~benbradley

Mike Rocket J. Squirrel Elliott

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Feb 20, 2004, 7:15:38 PM2/20/04
to
Ben Bradley wrote:

Well now -- if you just want to take the simple, obvious approach, I
suppose that /might/ work. ;-)

John Woodgate

unread,
Feb 20, 2004, 5:38:23 PM2/20/04
to
I read in alt.binaries.schematics.electronic that Mike Rocket J.
Squirrel Elliott <j.michael...@REMOVETHEOBVIOUSadelphiaDOT.net>
wrote (in <a5ydnUGi3eR...@adelphia.com>) about 'Capacitor ESR
??', on Thu, 19 Feb 2004:

>I wonder if that's piezo effect . . .

Yes, it is.

John Woodgate

unread,
Feb 20, 2004, 5:40:22 PM2/20/04
to
I read in alt.binaries.schematics.electronic that DarkMatter <DarkMatter
@thebarattheendoftheuniverse.org> wrote (in <doac30lg68felrq0ecpff21s8d1
mdp...@4ax.com>) about 'Capacitor ESR ??', on Fri, 20 Feb 2004:

> If a ceramic has microphonic behaviors, how does it represent a loss?

It is accompanied by hysteresis, and that does cause a power loss, juts
as it does in a ferromagnet.

Mark J.

unread,
Feb 21, 2004, 2:28:32 AM2/21/04
to
In news:f1dd30t8j4p6en50r...@4ax.com (DarkMatter):
> On Fri, 20 Feb 2004 07:58:55 -0800, "Mike Rocket J. Squirrel Elliott"
> <j.michael...@REMOVETHEOBVIOUSadelphiaDOT.net> Gave us:
>

>> It makes sound, otherwise acoustic energy for free?
>
> When it pushes, and releases, the material pushes back.
>
> If it is microphonic, perhaps it has defective internal
> terminations, or are you saying that they all sing?
>
> I still don't see how it is a loss. The dielectric constant
> probably includes such physical flexures whereas a polymer type
> dielectric only flexes internally at the lattice level. Still, it has
> hysteresis as well.
>
> In this case, the hysteresis sings audibly. I don't see how it is a
> loss though. It is more like a response to stimulus, but I don't see
> that it would have much consumption, if any. It very well could be
> just that though.


If a light bulb gives off light, is there no energy used in creating that
light?

...

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