Electronics-Related.com
Forums

Cap Multiplier, NOT a "gimmick"

Started by Jim Thompson September 21, 2013
On 9/21/2013 9:06 PM, Jim Thompson wrote:
> On Sat, 21 Sep 2013 10:51:06 -0700, John Larkin > <jjlarkin@highNOTlandTHIStechnologyPART.com> wrote: > >> On Sat, 21 Sep 2013 10:26:40 -0700, Jim Thompson >> <To-Email-Use-The-Envelope-Icon@On-My-Web-Site.com> wrote: >> >>> Here's a way to do capacitor multiplication... >>> >>> >>> <http://www.analog-innovations.com/SED/CapMultiplier_JT_2013-09-21.pdf> >>> >>> limited only by OpAmp GBW product, and no resistive components until >>> the OpAmps run out of steam. >>> >>> Mathematically, this is the same way I did behavioral models for >>> crummy capacitors such as X7R and Y5U, except I had ideal amplifiers, >>> and equations and/or tables to describe the changes versus voltage and >>> temperature. >>> >>> Larkin's "Maybe I'll do this:" >>> >>> >>> <https://dl.dropboxusercontent.com/u/53724080/Parts/Caps/Trim_Cap.JPG> >>> >>> does not fare so well. Do the math. >>> >>> ...Jim Thompson >> >> >> 2.5x the parts (including a GHz opamp), maybe 50x the noise. It would destroy >> the low-noise transimpedance amp that I'm doing. You have just invented the >> world's noisiest capacitor. Well, you probably "invented" it 40 years ago. >> >> And I need a floating capacitor, not a grounded one. And I need about 0.4 pF, >> which would call for a capacitance divider, not a multiplier. >> > > Larkinus Bloviatus Fartus Maximus: > >> Net idiotic. > > I asked, "Do the math." > > Larkin didn't. > > I did. > > Though any kid fresh out of school would look at this... > > <http://www.analog-innovations.com/SED/Larkin_Trim_Cap_Folly.jpg> > > And note, by simple observation, several things... > > It's not a two terminal network. > > The impedance looking into the node on the left (marked arrow-style by > Larkin) looks like that resistor from the arrow to IN- of the OpAmp > (until the OpAmp runs into the GBW stop). > > The impedance looking into the right arrow is, in essence, a voltage > source, zero AC impedance, again until the OpAmp runs into the GBW > stop. > > If that's a _floating_ capacitor, I'm the King of Siam. > > But Larkin's sickophants should be happy, their low-information > mentality, and need for name-calling, has been satisfied. They will > now face toward San Fransicko and chant... >:-} > > ...Jim Thompson >
I thought you were trying not to dish that stuff out? Using a voltage divider on a small compensation cap is a pretty common approach in TIAs, though IME it's usually a capacitive divider rather than a resistive one. It works OK up to the point where the summing junction loading is important. You clearly don't want to try synthesizing 1 pF using a 1000:1 voltage divider and a nanofarad in series.(*) Using a pot, you have to worry about the current noise of the low resistances getting into the summing junction. (I posted a TIA fragment a week or two back where I had to short out a 1G resistor with a relay to avoid its Johnson noise current dominating the circuit performance above a few hundred hertz.) However, given that the input capacitance is probably nearly 2 pF to begin with, something like 0.5 pF and a low-value pot isn't necessarily a silly way of making an adjustable 0.3 pF for that sort of use. Cheers Phil Hobbs (*) Back in the early part of my career, I actually managed to make an op amp integrator oscillate all by itself. Fast op amp with high Zout and some phase funnies in its compensation, small R_in/large C_F. -- Dr Philip C D Hobbs Principal Consultant ElectroOptical Innovations LLC Optics, Electro-optics, Photonics, Analog Electronics 160 North State Road #203 Briarcliff Manor NY 10510 USA +1 845 480 2058 hobbs at electrooptical dot net http://electrooptical.net
On Sun, 22 Sep 2013 15:31:57 -0400, Phil Hobbs
<pcdhSpamMeSenseless@electrooptical.net> wrote:

>On 9/21/2013 9:06 PM, Jim Thompson wrote: >> On Sat, 21 Sep 2013 10:51:06 -0700, John Larkin >> <jjlarkin@highNOTlandTHIStechnologyPART.com> wrote: >> >>> On Sat, 21 Sep 2013 10:26:40 -0700, Jim Thompson >>> <To-Email-Use-The-Envelope-Icon@On-My-Web-Site.com> wrote: >>> >>>> Here's a way to do capacitor multiplication... >>>> >>>> >>>> <http://www.analog-innovations.com/SED/CapMultiplier_JT_2013-09-21.pdf> >>>> >>>> limited only by OpAmp GBW product, and no resistive components until >>>> the OpAmps run out of steam. >>>> >>>> Mathematically, this is the same way I did behavioral models for >>>> crummy capacitors such as X7R and Y5U, except I had ideal amplifiers, >>>> and equations and/or tables to describe the changes versus voltage and >>>> temperature. >>>> >>>> Larkin's "Maybe I'll do this:" >>>> >>>> >>>> <https://dl.dropboxusercontent.com/u/53724080/Parts/Caps/Trim_Cap.JPG> >>>> >>>> does not fare so well. Do the math. >>>> >>>> ...Jim Thompson >>> >>> >>> 2.5x the parts (including a GHz opamp), maybe 50x the noise. It would destroy >>> the low-noise transimpedance amp that I'm doing. You have just invented the >>> world's noisiest capacitor. Well, you probably "invented" it 40 years ago. >>> >>> And I need a floating capacitor, not a grounded one. And I need about 0.4 pF, >>> which would call for a capacitance divider, not a multiplier. >>> >> >> Larkinus Bloviatus Fartus Maximus: >> >>> Net idiotic. >> >> I asked, "Do the math." >> >> Larkin didn't. >> >> I did. >> >> Though any kid fresh out of school would look at this... >> >> <http://www.analog-innovations.com/SED/Larkin_Trim_Cap_Folly.jpg> >> >> And note, by simple observation, several things... >> >> It's not a two terminal network. >> >> The impedance looking into the node on the left (marked arrow-style by >> Larkin) looks like that resistor from the arrow to IN- of the OpAmp >> (until the OpAmp runs into the GBW stop). >> >> The impedance looking into the right arrow is, in essence, a voltage >> source, zero AC impedance, again until the OpAmp runs into the GBW >> stop. >> >> If that's a _floating_ capacitor, I'm the King of Siam. >> >> But Larkin's sickophants should be happy, their low-information >> mentality, and need for name-calling, has been satisfied. They will >> now face toward San Fransicko and chant... >:-} >> >> ...Jim Thompson >> > >I thought you were trying not to dish that stuff out? > >Using a voltage divider on a small compensation cap is a pretty common >approach in TIAs, though IME it's usually a capacitive divider rather >than a resistive one. It works OK up to the point where the summing >junction loading is important. You clearly don't want to try >synthesizing 1 pF using a 1000:1 voltage divider and a nanofarad in >series.(*) > >Using a pot, you have to worry about the current noise of the low >resistances getting into the summing junction. (I posted a TIA fragment >a week or two back where I had to short out a 1G resistor with a relay >to avoid its Johnson noise current dominating the circuit performance >above a few hundred hertz.) > >However, given that the input capacitance is probably nearly 2 pF to >begin with, something like 0.5 pF and a low-value pot isn't necessarily >a silly way of making an adjustable 0.3 pF for that sort of use.
Actually defining the total problem would have been a more useful exercise.
> >Cheers > >Phil Hobbs > >(*) Back in the early part of my career, I actually managed to make an >op amp integrator oscillate all by itself. Fast op amp with high Zout >and some phase funnies in its compensation, small R_in/large C_F.
Nowhere in Larkin's multiple posts was "capacitor immersed in an integrator" mentioned. When I show a true capacitor multiplier, I get his usual ration of shit... and bloviations about "floating". ...Jim Thompson -- | James E.Thompson | mens | | Analog Innovations | et | | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | | San Tan Valley, AZ 85142 Skype: Contacts Only | | | Voice:(480)460-2350 Fax: Available upon request | Brass Rat | | E-mail Icon at http://www.analog-innovations.com | 1962 | I love to cook with wine. Sometimes I even put it in the food.
On Sun, 22 Sep 2013 15:31:57 -0400, Phil Hobbs
<pcdhSpamMeSenseless@electrooptical.net> wrote:

>On 9/21/2013 9:06 PM, Jim Thompson wrote: >> On Sat, 21 Sep 2013 10:51:06 -0700, John Larkin >> <jjlarkin@highNOTlandTHIStechnologyPART.com> wrote: >> >>> On Sat, 21 Sep 2013 10:26:40 -0700, Jim Thompson >>> <To-Email-Use-The-Envelope-Icon@On-My-Web-Site.com> wrote: >>> >>>> Here's a way to do capacitor multiplication... >>>> >>>> >>>> <http://www.analog-innovations.com/SED/CapMultiplier_JT_2013-09-21.pdf> >>>> >>>> limited only by OpAmp GBW product, and no resistive components until >>>> the OpAmps run out of steam. >>>> >>>> Mathematically, this is the same way I did behavioral models for >>>> crummy capacitors such as X7R and Y5U, except I had ideal amplifiers, >>>> and equations and/or tables to describe the changes versus voltage and >>>> temperature. >>>> >>>> Larkin's "Maybe I'll do this:" >>>> >>>> >>>> <https://dl.dropboxusercontent.com/u/53724080/Parts/Caps/Trim_Cap.JPG> >>>> >>>> does not fare so well. Do the math. >>>> >>>> ...Jim Thompson >>> >>> >>> 2.5x the parts (including a GHz opamp), maybe 50x the noise. It would destroy >>> the low-noise transimpedance amp that I'm doing. You have just invented the >>> world's noisiest capacitor. Well, you probably "invented" it 40 years ago. >>> >>> And I need a floating capacitor, not a grounded one. And I need about 0.4 pF, >>> which would call for a capacitance divider, not a multiplier. >>> >> >> Larkinus Bloviatus Fartus Maximus: >> >>> Net idiotic. >> >> I asked, "Do the math." >> >> Larkin didn't. >> >> I did. >> >> Though any kid fresh out of school would look at this... >> >> <http://www.analog-innovations.com/SED/Larkin_Trim_Cap_Folly.jpg> >> >> And note, by simple observation, several things... >> >> It's not a two terminal network. >> >> The impedance looking into the node on the left (marked arrow-style by >> Larkin) looks like that resistor from the arrow to IN- of the OpAmp >> (until the OpAmp runs into the GBW stop). >> >> The impedance looking into the right arrow is, in essence, a voltage >> source, zero AC impedance, again until the OpAmp runs into the GBW >> stop. >> >> If that's a _floating_ capacitor, I'm the King of Siam. >> >> But Larkin's sickophants should be happy, their low-information >> mentality, and need for name-calling, has been satisfied. They will >> now face toward San Fransicko and chant... >:-} >> >> ...Jim Thompson >> > >I thought you were trying not to dish that stuff out? > >Using a voltage divider on a small compensation cap is a pretty common >approach in TIAs, though IME it's usually a capacitive divider rather >than a resistive one. It works OK up to the point where the summing >junction loading is important. You clearly don't want to try >synthesizing 1 pF using a 1000:1 voltage divider and a nanofarad in >series.(*) > >Using a pot, you have to worry about the current noise of the low >resistances getting into the summing junction. (I posted a TIA fragment >a week or two back where I had to short out a 1G resistor with a relay >to avoid its Johnson noise current dominating the circuit performance >above a few hundred hertz.) > >However, given that the input capacitance is probably nearly 2 pF to >begin with, something like 0.5 pF and a low-value pot isn't necessarily >a silly way of making an adjustable 0.3 pF for that sort of use. > >Cheers > >Phil Hobbs > >(*) Back in the early part of my career, I actually managed to make an >op amp integrator oscillate all by itself. Fast op amp with high Zout >and some phase funnies in its compensation, small R_in/large C_F.
Oscillation isn't an unusual event; stability is! I sim'd the pot thing (yes, you prefer algebra) and it had an inconsequential effect on noise. I'd only do this on the breadboard. I like being able to calculate the effective capacitance after I twiddle the pot; I can't think of any other trimmer that easily allows that. -- John Larkin Highland Technology Inc www.highlandtechnology.com jlarkin at highlandtechnology dot com Precision electronic instrumentation Picosecond-resolution Digital Delay and Pulse generators Custom timing and laser controllers Photonics and fiberoptic TTL data links VME analog, thermocouple, LVDT, synchro, tachometer Multichannel arbitrary waveform generators
On Sun, 22 Sep 2013 14:37:18 -0700, Jim Thompson
<To-Email-Use-The-Envelope-Icon@On-My-Web-Site.com> wrote:

>On Sun, 22 Sep 2013 15:31:57 -0400, Phil Hobbs ><pcdhSpamMeSenseless@electrooptical.net> wrote: > >>On 9/21/2013 9:06 PM, Jim Thompson wrote: >>> On Sat, 21 Sep 2013 10:51:06 -0700, John Larkin >>> <jjlarkin@highNOTlandTHIStechnologyPART.com> wrote: >>> >>>> On Sat, 21 Sep 2013 10:26:40 -0700, Jim Thompson >>>> <To-Email-Use-The-Envelope-Icon@On-My-Web-Site.com> wrote: >>>> >>>>> Here's a way to do capacitor multiplication... >>>>> >>>>> >>>>> <http://www.analog-innovations.com/SED/CapMultiplier_JT_2013-09-21.pdf> >>>>> >>>>> limited only by OpAmp GBW product, and no resistive components until >>>>> the OpAmps run out of steam. >>>>> >>>>> Mathematically, this is the same way I did behavioral models for >>>>> crummy capacitors such as X7R and Y5U, except I had ideal amplifiers, >>>>> and equations and/or tables to describe the changes versus voltage and >>>>> temperature. >>>>> >>>>> Larkin's "Maybe I'll do this:" >>>>> >>>>> >>>>> <https://dl.dropboxusercontent.com/u/53724080/Parts/Caps/Trim_Cap.JPG> >>>>> >>>>> does not fare so well. Do the math. >>>>> >>>>> ...Jim Thompson >>>> >>>> >>>> 2.5x the parts (including a GHz opamp), maybe 50x the noise. It would destroy >>>> the low-noise transimpedance amp that I'm doing. You have just invented the >>>> world's noisiest capacitor. Well, you probably "invented" it 40 years ago. >>>> >>>> And I need a floating capacitor, not a grounded one. And I need about 0.4 pF, >>>> which would call for a capacitance divider, not a multiplier. >>>> >>> >>> Larkinus Bloviatus Fartus Maximus: >>> >>>> Net idiotic. >>> >>> I asked, "Do the math." >>> >>> Larkin didn't. >>> >>> I did. >>> >>> Though any kid fresh out of school would look at this... >>> >>> <http://www.analog-innovations.com/SED/Larkin_Trim_Cap_Folly.jpg> >>> >>> And note, by simple observation, several things... >>> >>> It's not a two terminal network. >>> >>> The impedance looking into the node on the left (marked arrow-style by >>> Larkin) looks like that resistor from the arrow to IN- of the OpAmp >>> (until the OpAmp runs into the GBW stop). >>> >>> The impedance looking into the right arrow is, in essence, a voltage >>> source, zero AC impedance, again until the OpAmp runs into the GBW >>> stop. >>> >>> If that's a _floating_ capacitor, I'm the King of Siam. >>> >>> But Larkin's sickophants should be happy, their low-information >>> mentality, and need for name-calling, has been satisfied. They will >>> now face toward San Fransicko and chant... >:-} >>> >>> ...Jim Thompson >>> >> >>I thought you were trying not to dish that stuff out? >> >>Using a voltage divider on a small compensation cap is a pretty common >>approach in TIAs, though IME it's usually a capacitive divider rather >>than a resistive one. It works OK up to the point where the summing >>junction loading is important. You clearly don't want to try >>synthesizing 1 pF using a 1000:1 voltage divider and a nanofarad in >>series.(*) >> >>Using a pot, you have to worry about the current noise of the low >>resistances getting into the summing junction. (I posted a TIA fragment >>a week or two back where I had to short out a 1G resistor with a relay >>to avoid its Johnson noise current dominating the circuit performance >>above a few hundred hertz.) >> >>However, given that the input capacitance is probably nearly 2 pF to >>begin with, something like 0.5 pF and a low-value pot isn't necessarily >>a silly way of making an adjustable 0.3 pF for that sort of use. > >Actually defining the total problem would have been a more useful >exercise. > >> >>Cheers >> >>Phil Hobbs >> >>(*) Back in the early part of my career, I actually managed to make an >>op amp integrator oscillate all by itself. Fast op amp with high Zout >>and some phase funnies in its compensation, small R_in/large C_F. > >Nowhere in Larkin's multiple posts was "capacitor immersed in an >integrator" mentioned. > >When I show a true capacitor multiplier, I get his usual ration of >shit... and bloviations about "floating". > > ...Jim Thompson
Other people understood what I meant; I want a sub-pF variable cap to trim a circuit, and neither end is grounded. I posted the actual circuit. If you had posted "your" cap multiplier with some neutral comment, like "take a look at this cap multiplier", you'd look somewhat less stupid. Or if the context wasn't clear, you could have asked. But you misunderstood the situation and posted a challenge. How did you get to be so rash and insecure? You're sure not aging gracefully. -- John Larkin Highland Technology Inc www.highlandtechnology.com jlarkin at highlandtechnology dot com Precision electronic instrumentation Picosecond-resolution Digital Delay and Pulse generators Custom timing and laser controllers Photonics and fiberoptic TTL data links VME analog, thermocouple, LVDT, synchro, tachometer Multichannel arbitrary waveform generators