How to determine op-amp gain with active feedback?

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The Howland current pump uses an op-amp in the configuration below with a resistive feedback network which gives me the gain show below:
enter image description here



But if I decide to swap the feedback resistor for an instrumentation amplifier for less noise and better resolution, what will the new gain be? I've tried searching but can't seem to find anything on this.





schematic





simulate this circuit – Schematic created using CircuitLab










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  • Your proposed circuit isn't going to work, because the input is shorted to the in-amp output.
    – The Photon
    36 mins ago










  • Describe your theory behind this "concept", please. What do you imagine it does and how? What does the input source see here vs your earlier circuit?
    – jonk
    32 mins ago














up vote
1
down vote

favorite












The Howland current pump uses an op-amp in the configuration below with a resistive feedback network which gives me the gain show below:
enter image description here



But if I decide to swap the feedback resistor for an instrumentation amplifier for less noise and better resolution, what will the new gain be? I've tried searching but can't seem to find anything on this.





schematic





simulate this circuit – Schematic created using CircuitLab










share|improve this question























  • Your proposed circuit isn't going to work, because the input is shorted to the in-amp output.
    – The Photon
    36 mins ago










  • Describe your theory behind this "concept", please. What do you imagine it does and how? What does the input source see here vs your earlier circuit?
    – jonk
    32 mins ago












up vote
1
down vote

favorite









up vote
1
down vote

favorite











The Howland current pump uses an op-amp in the configuration below with a resistive feedback network which gives me the gain show below:
enter image description here



But if I decide to swap the feedback resistor for an instrumentation amplifier for less noise and better resolution, what will the new gain be? I've tried searching but can't seem to find anything on this.





schematic





simulate this circuit – Schematic created using CircuitLab










share|improve this question















The Howland current pump uses an op-amp in the configuration below with a resistive feedback network which gives me the gain show below:
enter image description here



But if I decide to swap the feedback resistor for an instrumentation amplifier for less noise and better resolution, what will the new gain be? I've tried searching but can't seem to find anything on this.





schematic





simulate this circuit – Schematic created using CircuitLab







op-amp amplifier current-source instrumentation-amplifier






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edited 48 mins ago









Niteesh Shanbog

195110




195110










asked 53 mins ago









VanGo

316213




316213











  • Your proposed circuit isn't going to work, because the input is shorted to the in-amp output.
    – The Photon
    36 mins ago










  • Describe your theory behind this "concept", please. What do you imagine it does and how? What does the input source see here vs your earlier circuit?
    – jonk
    32 mins ago
















  • Your proposed circuit isn't going to work, because the input is shorted to the in-amp output.
    – The Photon
    36 mins ago










  • Describe your theory behind this "concept", please. What do you imagine it does and how? What does the input source see here vs your earlier circuit?
    – jonk
    32 mins ago















Your proposed circuit isn't going to work, because the input is shorted to the in-amp output.
– The Photon
36 mins ago




Your proposed circuit isn't going to work, because the input is shorted to the in-amp output.
– The Photon
36 mins ago












Describe your theory behind this "concept", please. What do you imagine it does and how? What does the input source see here vs your earlier circuit?
– jonk
32 mins ago




Describe your theory behind this "concept", please. What do you imagine it does and how? What does the input source see here vs your earlier circuit?
– jonk
32 mins ago










1 Answer
1






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up vote
3
down vote













What you need to do is add a couple of resistors





schematic





simulate this circuit – Schematic created using CircuitLab



If the instrumentation amp has a gain G, then, since the current through R1 must equal the current through R2,



Vin/R1 = G iL Rs/R2,



where iL is the load current.



Rearranging the terms gives



iL = Vin(R2 /R1 G Rs)



Note that, strictly speaking, an instrumentation amp is not required, since Rs is grounded, and a simple non-inverting op amp would do the job. In practice, an instrumentation amp would be a good idea, since tiny differences in ground resistance will have a noticeable effect due to the large gain of the amp.



Also note that this configuration will almost certainly oscillate like crazy. The phase shift caused by the instrumentation amp will need careful compensation.






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    1 Answer
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    1 Answer
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    up vote
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    down vote













    What you need to do is add a couple of resistors





    schematic





    simulate this circuit – Schematic created using CircuitLab



    If the instrumentation amp has a gain G, then, since the current through R1 must equal the current through R2,



    Vin/R1 = G iL Rs/R2,



    where iL is the load current.



    Rearranging the terms gives



    iL = Vin(R2 /R1 G Rs)



    Note that, strictly speaking, an instrumentation amp is not required, since Rs is grounded, and a simple non-inverting op amp would do the job. In practice, an instrumentation amp would be a good idea, since tiny differences in ground resistance will have a noticeable effect due to the large gain of the amp.



    Also note that this configuration will almost certainly oscillate like crazy. The phase shift caused by the instrumentation amp will need careful compensation.






    share|improve this answer
























      up vote
      3
      down vote













      What you need to do is add a couple of resistors





      schematic





      simulate this circuit – Schematic created using CircuitLab



      If the instrumentation amp has a gain G, then, since the current through R1 must equal the current through R2,



      Vin/R1 = G iL Rs/R2,



      where iL is the load current.



      Rearranging the terms gives



      iL = Vin(R2 /R1 G Rs)



      Note that, strictly speaking, an instrumentation amp is not required, since Rs is grounded, and a simple non-inverting op amp would do the job. In practice, an instrumentation amp would be a good idea, since tiny differences in ground resistance will have a noticeable effect due to the large gain of the amp.



      Also note that this configuration will almost certainly oscillate like crazy. The phase shift caused by the instrumentation amp will need careful compensation.






      share|improve this answer






















        up vote
        3
        down vote










        up vote
        3
        down vote









        What you need to do is add a couple of resistors





        schematic





        simulate this circuit – Schematic created using CircuitLab



        If the instrumentation amp has a gain G, then, since the current through R1 must equal the current through R2,



        Vin/R1 = G iL Rs/R2,



        where iL is the load current.



        Rearranging the terms gives



        iL = Vin(R2 /R1 G Rs)



        Note that, strictly speaking, an instrumentation amp is not required, since Rs is grounded, and a simple non-inverting op amp would do the job. In practice, an instrumentation amp would be a good idea, since tiny differences in ground resistance will have a noticeable effect due to the large gain of the amp.



        Also note that this configuration will almost certainly oscillate like crazy. The phase shift caused by the instrumentation amp will need careful compensation.






        share|improve this answer












        What you need to do is add a couple of resistors





        schematic





        simulate this circuit – Schematic created using CircuitLab



        If the instrumentation amp has a gain G, then, since the current through R1 must equal the current through R2,



        Vin/R1 = G iL Rs/R2,



        where iL is the load current.



        Rearranging the terms gives



        iL = Vin(R2 /R1 G Rs)



        Note that, strictly speaking, an instrumentation amp is not required, since Rs is grounded, and a simple non-inverting op amp would do the job. In practice, an instrumentation amp would be a good idea, since tiny differences in ground resistance will have a noticeable effect due to the large gain of the amp.



        Also note that this configuration will almost certainly oscillate like crazy. The phase shift caused by the instrumentation amp will need careful compensation.







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered 27 mins ago









        WhatRoughBeast

        48.2k22873




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