Negative Resistance Announcing the arrival of Valued Associate #679: Cesar Manara ...

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Negative Resistance



Announcing the arrival of Valued Associate #679: Cesar Manara
Unicorn Meta Zoo #1: Why another podcast?How does current flow through a voltage source?Does electric potential influence the direction of current?Reversed Current in Passive Loads?how does negative differential resistance in a PCT work?How to test if a, in circuit, complementary darling transistor is still functioning properly?How can a grounded gate MOSFET conduct current?Visualizing Electrical PotentialDoes voltage limit current?How can an electron have 0 electric potential after exiting a resistor but have current?Why (physically) does a current divider circuit show that both resistors have an effect on individual current?





.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty{ margin-bottom:0;
}







1












$begingroup$


I am a bit confused about the physical meaning of negative resistance.



Mathematically, a component which has negative resistance shows a decreasing voltage across its terminal when the current inside it grows, and vice versa. But how is this physically possible?



Somewhere I have read that an example of component with negative resistance is a voltage source. But I do not understand this statement, since a voltage source is a component which at most shows a (positive) internal resistance.










share|improve this question











$endgroup$












  • $begingroup$
    Maybe if you see a circuit with two resistors in series (voltage divider), having in the middle 2.5V, a component with negative resistance can be said to 'add voltage' instead of removing voltage... but I leave a real answer to the experts here ;-)
    $endgroup$
    – Michel Keijzers
    52 mins ago










  • $begingroup$
    Minus R will provide power, not dissipate power.
    $endgroup$
    – analogsystemsrf
    22 mins ago


















1












$begingroup$


I am a bit confused about the physical meaning of negative resistance.



Mathematically, a component which has negative resistance shows a decreasing voltage across its terminal when the current inside it grows, and vice versa. But how is this physically possible?



Somewhere I have read that an example of component with negative resistance is a voltage source. But I do not understand this statement, since a voltage source is a component which at most shows a (positive) internal resistance.










share|improve this question











$endgroup$












  • $begingroup$
    Maybe if you see a circuit with two resistors in series (voltage divider), having in the middle 2.5V, a component with negative resistance can be said to 'add voltage' instead of removing voltage... but I leave a real answer to the experts here ;-)
    $endgroup$
    – Michel Keijzers
    52 mins ago










  • $begingroup$
    Minus R will provide power, not dissipate power.
    $endgroup$
    – analogsystemsrf
    22 mins ago














1












1








1





$begingroup$


I am a bit confused about the physical meaning of negative resistance.



Mathematically, a component which has negative resistance shows a decreasing voltage across its terminal when the current inside it grows, and vice versa. But how is this physically possible?



Somewhere I have read that an example of component with negative resistance is a voltage source. But I do not understand this statement, since a voltage source is a component which at most shows a (positive) internal resistance.










share|improve this question











$endgroup$




I am a bit confused about the physical meaning of negative resistance.



Mathematically, a component which has negative resistance shows a decreasing voltage across its terminal when the current inside it grows, and vice versa. But how is this physically possible?



Somewhere I have read that an example of component with negative resistance is a voltage source. But I do not understand this statement, since a voltage source is a component which at most shows a (positive) internal resistance.







voltage current resistors resistance voltage-source






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 46 mins ago









Marcus Müller

35.5k363101




35.5k363101










asked 58 mins ago









Kinka-ByoKinka-Byo

662




662












  • $begingroup$
    Maybe if you see a circuit with two resistors in series (voltage divider), having in the middle 2.5V, a component with negative resistance can be said to 'add voltage' instead of removing voltage... but I leave a real answer to the experts here ;-)
    $endgroup$
    – Michel Keijzers
    52 mins ago










  • $begingroup$
    Minus R will provide power, not dissipate power.
    $endgroup$
    – analogsystemsrf
    22 mins ago


















  • $begingroup$
    Maybe if you see a circuit with two resistors in series (voltage divider), having in the middle 2.5V, a component with negative resistance can be said to 'add voltage' instead of removing voltage... but I leave a real answer to the experts here ;-)
    $endgroup$
    – Michel Keijzers
    52 mins ago










  • $begingroup$
    Minus R will provide power, not dissipate power.
    $endgroup$
    – analogsystemsrf
    22 mins ago
















$begingroup$
Maybe if you see a circuit with two resistors in series (voltage divider), having in the middle 2.5V, a component with negative resistance can be said to 'add voltage' instead of removing voltage... but I leave a real answer to the experts here ;-)
$endgroup$
– Michel Keijzers
52 mins ago




$begingroup$
Maybe if you see a circuit with two resistors in series (voltage divider), having in the middle 2.5V, a component with negative resistance can be said to 'add voltage' instead of removing voltage... but I leave a real answer to the experts here ;-)
$endgroup$
– Michel Keijzers
52 mins ago












$begingroup$
Minus R will provide power, not dissipate power.
$endgroup$
– analogsystemsrf
22 mins ago




$begingroup$
Minus R will provide power, not dissipate power.
$endgroup$
– analogsystemsrf
22 mins ago










6 Answers
6






active

oldest

votes


















2












$begingroup$

There are a number of mechanisms that result in a region where locally increasing voltage results in locally decreasing current. For example, an Esaki (tunnel) diode.



enter image description here



A common example would be a switching power supply with a steady load. Assuming the efficiency is more-or-less constant, increasing the input voltage results in less current being drawn. It is always consuming energy though.



A stand-alone component that exhibits negative resistance (rather than negative differential resistance) is not possible without some kind of energy source within the component, otherwise it would violate conservation of energy ($P = E^2/R$) and negative P would indicate it is acting as a power source.





If you want to play with a negative resistance effect, one way (assuming you don't mind one end being grounded) is to use a negative impedance converter:





schematic





simulate this circuit – Schematic created using CircuitLab



The above circuit acts like a -10K resistor with one end grounded (within its linear range), and works down to about zero volts. Any power it produces comes from the op-amp supplies.






share|improve this answer











$endgroup$









  • 1




    $begingroup$
    That is really a fine choice of an example device you picked.
    $endgroup$
    – The Photon
    40 mins ago










  • $begingroup$
    @ThePhoton LOL, great minds and all that.
    $endgroup$
    – Spehro Pefhany
    19 mins ago





















1












$begingroup$

Anything that drops in voltage with a rise in current has a negative resistance.



Power sources have this property. The passive components with incremental negative resistance include; any gas discharge bulb or arc, Avalanche effect diodes, Tunnel Diodes, SCR's during trigger phase.



https://en.wikipedia.org/wiki/Negative_resistance






share|improve this answer









$endgroup$





















    1












    $begingroup$

    In this context, we have to discriminate between (1) pure differential (dynamic) neg. resistances (as shown in the examples of the other answers) and (b) a static negative resistance. My following answer concerns only the static negative resistor:



    Such an element does not "consume" a current - driven by a voltage source, but - the other way round - it drives a current (prop. to the voltage) in an opposite direction into the voltage source.



    Hence. it is a voltage-controlled current source. For such circuits only active realisations are possible (using transistors or - in most cases - opamps). The most popular circuit is the NIC (Negative-Impedance Converter).






    share|improve this answer









    $endgroup$





















      0












      $begingroup$

      A perfect negative resistor is impossible, but a device can have negative resistance characteristics over a limited range.



      The resistance of a non-linear device varies and at a given voltage the equivalent resistance is equal to the slope of the line. If the slope is negative in a range, that range has negative resistance.



      enter image description here






      share|improve this answer









      $endgroup$





















        0












        $begingroup$


        But how is this physically possible?




        Some components, like Esaki diodes and glow tubes, have an I-V curve that is entirely in the I and III quadrants, but has a negative slope region over a limited range. In this region, a small-signal model of the device will have negative resistance.



        enter image description here



        (image source)



        In the Esaki diode, this behavior is caused by tunneling current that is possible at low bias but not at higher bias voltage.



        It's also possible to make an op-amp circuit with negative input resistance over a limited range. There the I-V curve can even pass through the II and IV quadrants since power can be supplied from the op-amp's power terminals.




        Somewhere I have read that an example of component with negative resistance is a voltage source.




        Looking at the input side of a regulated switching supply with a fixed load, it will often appear as a negative resistance.



        This is because it is a constant power load. If the input voltage drops, the regulator circuit will increase the current drawn in order to continue supplying the load with the desired output voltage.






        share|improve this answer









        $endgroup$





















          0












          $begingroup$

          In this context, we have to discriminate between (1) pure differential (dynamic) neg. resistances (as shown in the examples of the other answers) and (b) a static negative resistance. My following answer concerns only the static negative resistor:



          Such an element does not "consume" a current - driven by a voltage source, but - the other way round - it drives a current (prop. to the voltage) in an opposite direction into the voltage source.



          Hence. it is a voltage-controlled current source. For such circuits only active realisations are possible (using transistors or - in most cases - opamps). The most popular circuit is the NIC (Negative-Impedance Converter).





          schematic





          simulate this circuit – Schematic created using CircuitLab



          Comments: The shown NIC is stable as long as the source resistance of the voltage source (not shown in the figure) is smaller than R1. These NIC blocks are use for undamping filters, oscillators and other systems with unwanted positive (parasitic) resistances. Mathematically, they can be treated as "normal" resistors in series and parallel combinations - however, with a negative sign, of course.



          A very popular application is the "NIC integrator" (or "Deboo integrator"), where an NIC block is connected to the common node of a simple R-C lowpass. In this case, the NIC can compensate the pos. resistor R - thus resembling a current source which loads the intergating capacitor.






          share|improve this answer











          $endgroup$














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            6 Answers
            6






            active

            oldest

            votes








            6 Answers
            6






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            2












            $begingroup$

            There are a number of mechanisms that result in a region where locally increasing voltage results in locally decreasing current. For example, an Esaki (tunnel) diode.



            enter image description here



            A common example would be a switching power supply with a steady load. Assuming the efficiency is more-or-less constant, increasing the input voltage results in less current being drawn. It is always consuming energy though.



            A stand-alone component that exhibits negative resistance (rather than negative differential resistance) is not possible without some kind of energy source within the component, otherwise it would violate conservation of energy ($P = E^2/R$) and negative P would indicate it is acting as a power source.





            If you want to play with a negative resistance effect, one way (assuming you don't mind one end being grounded) is to use a negative impedance converter:





            schematic





            simulate this circuit – Schematic created using CircuitLab



            The above circuit acts like a -10K resistor with one end grounded (within its linear range), and works down to about zero volts. Any power it produces comes from the op-amp supplies.






            share|improve this answer











            $endgroup$









            • 1




              $begingroup$
              That is really a fine choice of an example device you picked.
              $endgroup$
              – The Photon
              40 mins ago










            • $begingroup$
              @ThePhoton LOL, great minds and all that.
              $endgroup$
              – Spehro Pefhany
              19 mins ago


















            2












            $begingroup$

            There are a number of mechanisms that result in a region where locally increasing voltage results in locally decreasing current. For example, an Esaki (tunnel) diode.



            enter image description here



            A common example would be a switching power supply with a steady load. Assuming the efficiency is more-or-less constant, increasing the input voltage results in less current being drawn. It is always consuming energy though.



            A stand-alone component that exhibits negative resistance (rather than negative differential resistance) is not possible without some kind of energy source within the component, otherwise it would violate conservation of energy ($P = E^2/R$) and negative P would indicate it is acting as a power source.





            If you want to play with a negative resistance effect, one way (assuming you don't mind one end being grounded) is to use a negative impedance converter:





            schematic





            simulate this circuit – Schematic created using CircuitLab



            The above circuit acts like a -10K resistor with one end grounded (within its linear range), and works down to about zero volts. Any power it produces comes from the op-amp supplies.






            share|improve this answer











            $endgroup$









            • 1




              $begingroup$
              That is really a fine choice of an example device you picked.
              $endgroup$
              – The Photon
              40 mins ago










            • $begingroup$
              @ThePhoton LOL, great minds and all that.
              $endgroup$
              – Spehro Pefhany
              19 mins ago
















            2












            2








            2





            $begingroup$

            There are a number of mechanisms that result in a region where locally increasing voltage results in locally decreasing current. For example, an Esaki (tunnel) diode.



            enter image description here



            A common example would be a switching power supply with a steady load. Assuming the efficiency is more-or-less constant, increasing the input voltage results in less current being drawn. It is always consuming energy though.



            A stand-alone component that exhibits negative resistance (rather than negative differential resistance) is not possible without some kind of energy source within the component, otherwise it would violate conservation of energy ($P = E^2/R$) and negative P would indicate it is acting as a power source.





            If you want to play with a negative resistance effect, one way (assuming you don't mind one end being grounded) is to use a negative impedance converter:





            schematic





            simulate this circuit – Schematic created using CircuitLab



            The above circuit acts like a -10K resistor with one end grounded (within its linear range), and works down to about zero volts. Any power it produces comes from the op-amp supplies.






            share|improve this answer











            $endgroup$



            There are a number of mechanisms that result in a region where locally increasing voltage results in locally decreasing current. For example, an Esaki (tunnel) diode.



            enter image description here



            A common example would be a switching power supply with a steady load. Assuming the efficiency is more-or-less constant, increasing the input voltage results in less current being drawn. It is always consuming energy though.



            A stand-alone component that exhibits negative resistance (rather than negative differential resistance) is not possible without some kind of energy source within the component, otherwise it would violate conservation of energy ($P = E^2/R$) and negative P would indicate it is acting as a power source.





            If you want to play with a negative resistance effect, one way (assuming you don't mind one end being grounded) is to use a negative impedance converter:





            schematic





            simulate this circuit – Schematic created using CircuitLab



            The above circuit acts like a -10K resistor with one end grounded (within its linear range), and works down to about zero volts. Any power it produces comes from the op-amp supplies.







            share|improve this answer














            share|improve this answer



            share|improve this answer








            edited 14 mins ago

























            answered 48 mins ago









            Spehro PefhanySpehro Pefhany

            215k5164438




            215k5164438








            • 1




              $begingroup$
              That is really a fine choice of an example device you picked.
              $endgroup$
              – The Photon
              40 mins ago










            • $begingroup$
              @ThePhoton LOL, great minds and all that.
              $endgroup$
              – Spehro Pefhany
              19 mins ago
















            • 1




              $begingroup$
              That is really a fine choice of an example device you picked.
              $endgroup$
              – The Photon
              40 mins ago










            • $begingroup$
              @ThePhoton LOL, great minds and all that.
              $endgroup$
              – Spehro Pefhany
              19 mins ago










            1




            1




            $begingroup$
            That is really a fine choice of an example device you picked.
            $endgroup$
            – The Photon
            40 mins ago




            $begingroup$
            That is really a fine choice of an example device you picked.
            $endgroup$
            – The Photon
            40 mins ago












            $begingroup$
            @ThePhoton LOL, great minds and all that.
            $endgroup$
            – Spehro Pefhany
            19 mins ago






            $begingroup$
            @ThePhoton LOL, great minds and all that.
            $endgroup$
            – Spehro Pefhany
            19 mins ago















            1












            $begingroup$

            Anything that drops in voltage with a rise in current has a negative resistance.



            Power sources have this property. The passive components with incremental negative resistance include; any gas discharge bulb or arc, Avalanche effect diodes, Tunnel Diodes, SCR's during trigger phase.



            https://en.wikipedia.org/wiki/Negative_resistance






            share|improve this answer









            $endgroup$


















              1












              $begingroup$

              Anything that drops in voltage with a rise in current has a negative resistance.



              Power sources have this property. The passive components with incremental negative resistance include; any gas discharge bulb or arc, Avalanche effect diodes, Tunnel Diodes, SCR's during trigger phase.



              https://en.wikipedia.org/wiki/Negative_resistance






              share|improve this answer









              $endgroup$
















                1












                1








                1





                $begingroup$

                Anything that drops in voltage with a rise in current has a negative resistance.



                Power sources have this property. The passive components with incremental negative resistance include; any gas discharge bulb or arc, Avalanche effect diodes, Tunnel Diodes, SCR's during trigger phase.



                https://en.wikipedia.org/wiki/Negative_resistance






                share|improve this answer









                $endgroup$



                Anything that drops in voltage with a rise in current has a negative resistance.



                Power sources have this property. The passive components with incremental negative resistance include; any gas discharge bulb or arc, Avalanche effect diodes, Tunnel Diodes, SCR's during trigger phase.



                https://en.wikipedia.org/wiki/Negative_resistance







                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered 52 mins ago









                Sunnyskyguy EE75Sunnyskyguy EE75

                72.2k227103




                72.2k227103























                    1












                    $begingroup$

                    In this context, we have to discriminate between (1) pure differential (dynamic) neg. resistances (as shown in the examples of the other answers) and (b) a static negative resistance. My following answer concerns only the static negative resistor:



                    Such an element does not "consume" a current - driven by a voltage source, but - the other way round - it drives a current (prop. to the voltage) in an opposite direction into the voltage source.



                    Hence. it is a voltage-controlled current source. For such circuits only active realisations are possible (using transistors or - in most cases - opamps). The most popular circuit is the NIC (Negative-Impedance Converter).






                    share|improve this answer









                    $endgroup$


















                      1












                      $begingroup$

                      In this context, we have to discriminate between (1) pure differential (dynamic) neg. resistances (as shown in the examples of the other answers) and (b) a static negative resistance. My following answer concerns only the static negative resistor:



                      Such an element does not "consume" a current - driven by a voltage source, but - the other way round - it drives a current (prop. to the voltage) in an opposite direction into the voltage source.



                      Hence. it is a voltage-controlled current source. For such circuits only active realisations are possible (using transistors or - in most cases - opamps). The most popular circuit is the NIC (Negative-Impedance Converter).






                      share|improve this answer









                      $endgroup$
















                        1












                        1








                        1





                        $begingroup$

                        In this context, we have to discriminate between (1) pure differential (dynamic) neg. resistances (as shown in the examples of the other answers) and (b) a static negative resistance. My following answer concerns only the static negative resistor:



                        Such an element does not "consume" a current - driven by a voltage source, but - the other way round - it drives a current (prop. to the voltage) in an opposite direction into the voltage source.



                        Hence. it is a voltage-controlled current source. For such circuits only active realisations are possible (using transistors or - in most cases - opamps). The most popular circuit is the NIC (Negative-Impedance Converter).






                        share|improve this answer









                        $endgroup$



                        In this context, we have to discriminate between (1) pure differential (dynamic) neg. resistances (as shown in the examples of the other answers) and (b) a static negative resistance. My following answer concerns only the static negative resistor:



                        Such an element does not "consume" a current - driven by a voltage source, but - the other way round - it drives a current (prop. to the voltage) in an opposite direction into the voltage source.



                        Hence. it is a voltage-controlled current source. For such circuits only active realisations are possible (using transistors or - in most cases - opamps). The most popular circuit is the NIC (Negative-Impedance Converter).







                        share|improve this answer












                        share|improve this answer



                        share|improve this answer










                        answered 24 mins ago









                        LvWLvW

                        14.9k21330




                        14.9k21330























                            0












                            $begingroup$

                            A perfect negative resistor is impossible, but a device can have negative resistance characteristics over a limited range.



                            The resistance of a non-linear device varies and at a given voltage the equivalent resistance is equal to the slope of the line. If the slope is negative in a range, that range has negative resistance.



                            enter image description here






                            share|improve this answer









                            $endgroup$


















                              0












                              $begingroup$

                              A perfect negative resistor is impossible, but a device can have negative resistance characteristics over a limited range.



                              The resistance of a non-linear device varies and at a given voltage the equivalent resistance is equal to the slope of the line. If the slope is negative in a range, that range has negative resistance.



                              enter image description here






                              share|improve this answer









                              $endgroup$
















                                0












                                0








                                0





                                $begingroup$

                                A perfect negative resistor is impossible, but a device can have negative resistance characteristics over a limited range.



                                The resistance of a non-linear device varies and at a given voltage the equivalent resistance is equal to the slope of the line. If the slope is negative in a range, that range has negative resistance.



                                enter image description here






                                share|improve this answer









                                $endgroup$



                                A perfect negative resistor is impossible, but a device can have negative resistance characteristics over a limited range.



                                The resistance of a non-linear device varies and at a given voltage the equivalent resistance is equal to the slope of the line. If the slope is negative in a range, that range has negative resistance.



                                enter image description here







                                share|improve this answer












                                share|improve this answer



                                share|improve this answer










                                answered 44 mins ago









                                Mattman944Mattman944

                                3015




                                3015























                                    0












                                    $begingroup$


                                    But how is this physically possible?




                                    Some components, like Esaki diodes and glow tubes, have an I-V curve that is entirely in the I and III quadrants, but has a negative slope region over a limited range. In this region, a small-signal model of the device will have negative resistance.



                                    enter image description here



                                    (image source)



                                    In the Esaki diode, this behavior is caused by tunneling current that is possible at low bias but not at higher bias voltage.



                                    It's also possible to make an op-amp circuit with negative input resistance over a limited range. There the I-V curve can even pass through the II and IV quadrants since power can be supplied from the op-amp's power terminals.




                                    Somewhere I have read that an example of component with negative resistance is a voltage source.




                                    Looking at the input side of a regulated switching supply with a fixed load, it will often appear as a negative resistance.



                                    This is because it is a constant power load. If the input voltage drops, the regulator circuit will increase the current drawn in order to continue supplying the load with the desired output voltage.






                                    share|improve this answer









                                    $endgroup$


















                                      0












                                      $begingroup$


                                      But how is this physically possible?




                                      Some components, like Esaki diodes and glow tubes, have an I-V curve that is entirely in the I and III quadrants, but has a negative slope region over a limited range. In this region, a small-signal model of the device will have negative resistance.



                                      enter image description here



                                      (image source)



                                      In the Esaki diode, this behavior is caused by tunneling current that is possible at low bias but not at higher bias voltage.



                                      It's also possible to make an op-amp circuit with negative input resistance over a limited range. There the I-V curve can even pass through the II and IV quadrants since power can be supplied from the op-amp's power terminals.




                                      Somewhere I have read that an example of component with negative resistance is a voltage source.




                                      Looking at the input side of a regulated switching supply with a fixed load, it will often appear as a negative resistance.



                                      This is because it is a constant power load. If the input voltage drops, the regulator circuit will increase the current drawn in order to continue supplying the load with the desired output voltage.






                                      share|improve this answer









                                      $endgroup$
















                                        0












                                        0








                                        0





                                        $begingroup$


                                        But how is this physically possible?




                                        Some components, like Esaki diodes and glow tubes, have an I-V curve that is entirely in the I and III quadrants, but has a negative slope region over a limited range. In this region, a small-signal model of the device will have negative resistance.



                                        enter image description here



                                        (image source)



                                        In the Esaki diode, this behavior is caused by tunneling current that is possible at low bias but not at higher bias voltage.



                                        It's also possible to make an op-amp circuit with negative input resistance over a limited range. There the I-V curve can even pass through the II and IV quadrants since power can be supplied from the op-amp's power terminals.




                                        Somewhere I have read that an example of component with negative resistance is a voltage source.




                                        Looking at the input side of a regulated switching supply with a fixed load, it will often appear as a negative resistance.



                                        This is because it is a constant power load. If the input voltage drops, the regulator circuit will increase the current drawn in order to continue supplying the load with the desired output voltage.






                                        share|improve this answer









                                        $endgroup$




                                        But how is this physically possible?




                                        Some components, like Esaki diodes and glow tubes, have an I-V curve that is entirely in the I and III quadrants, but has a negative slope region over a limited range. In this region, a small-signal model of the device will have negative resistance.



                                        enter image description here



                                        (image source)



                                        In the Esaki diode, this behavior is caused by tunneling current that is possible at low bias but not at higher bias voltage.



                                        It's also possible to make an op-amp circuit with negative input resistance over a limited range. There the I-V curve can even pass through the II and IV quadrants since power can be supplied from the op-amp's power terminals.




                                        Somewhere I have read that an example of component with negative resistance is a voltage source.




                                        Looking at the input side of a regulated switching supply with a fixed load, it will often appear as a negative resistance.



                                        This is because it is a constant power load. If the input voltage drops, the regulator circuit will increase the current drawn in order to continue supplying the load with the desired output voltage.







                                        share|improve this answer












                                        share|improve this answer



                                        share|improve this answer










                                        answered 41 mins ago









                                        The PhotonThe Photon

                                        87.9k399205




                                        87.9k399205























                                            0












                                            $begingroup$

                                            In this context, we have to discriminate between (1) pure differential (dynamic) neg. resistances (as shown in the examples of the other answers) and (b) a static negative resistance. My following answer concerns only the static negative resistor:



                                            Such an element does not "consume" a current - driven by a voltage source, but - the other way round - it drives a current (prop. to the voltage) in an opposite direction into the voltage source.



                                            Hence. it is a voltage-controlled current source. For such circuits only active realisations are possible (using transistors or - in most cases - opamps). The most popular circuit is the NIC (Negative-Impedance Converter).





                                            schematic





                                            simulate this circuit – Schematic created using CircuitLab



                                            Comments: The shown NIC is stable as long as the source resistance of the voltage source (not shown in the figure) is smaller than R1. These NIC blocks are use for undamping filters, oscillators and other systems with unwanted positive (parasitic) resistances. Mathematically, they can be treated as "normal" resistors in series and parallel combinations - however, with a negative sign, of course.



                                            A very popular application is the "NIC integrator" (or "Deboo integrator"), where an NIC block is connected to the common node of a simple R-C lowpass. In this case, the NIC can compensate the pos. resistor R - thus resembling a current source which loads the intergating capacitor.






                                            share|improve this answer











                                            $endgroup$


















                                              0












                                              $begingroup$

                                              In this context, we have to discriminate between (1) pure differential (dynamic) neg. resistances (as shown in the examples of the other answers) and (b) a static negative resistance. My following answer concerns only the static negative resistor:



                                              Such an element does not "consume" a current - driven by a voltage source, but - the other way round - it drives a current (prop. to the voltage) in an opposite direction into the voltage source.



                                              Hence. it is a voltage-controlled current source. For such circuits only active realisations are possible (using transistors or - in most cases - opamps). The most popular circuit is the NIC (Negative-Impedance Converter).





                                              schematic





                                              simulate this circuit – Schematic created using CircuitLab



                                              Comments: The shown NIC is stable as long as the source resistance of the voltage source (not shown in the figure) is smaller than R1. These NIC blocks are use for undamping filters, oscillators and other systems with unwanted positive (parasitic) resistances. Mathematically, they can be treated as "normal" resistors in series and parallel combinations - however, with a negative sign, of course.



                                              A very popular application is the "NIC integrator" (or "Deboo integrator"), where an NIC block is connected to the common node of a simple R-C lowpass. In this case, the NIC can compensate the pos. resistor R - thus resembling a current source which loads the intergating capacitor.






                                              share|improve this answer











                                              $endgroup$
















                                                0












                                                0








                                                0





                                                $begingroup$

                                                In this context, we have to discriminate between (1) pure differential (dynamic) neg. resistances (as shown in the examples of the other answers) and (b) a static negative resistance. My following answer concerns only the static negative resistor:



                                                Such an element does not "consume" a current - driven by a voltage source, but - the other way round - it drives a current (prop. to the voltage) in an opposite direction into the voltage source.



                                                Hence. it is a voltage-controlled current source. For such circuits only active realisations are possible (using transistors or - in most cases - opamps). The most popular circuit is the NIC (Negative-Impedance Converter).





                                                schematic





                                                simulate this circuit – Schematic created using CircuitLab



                                                Comments: The shown NIC is stable as long as the source resistance of the voltage source (not shown in the figure) is smaller than R1. These NIC blocks are use for undamping filters, oscillators and other systems with unwanted positive (parasitic) resistances. Mathematically, they can be treated as "normal" resistors in series and parallel combinations - however, with a negative sign, of course.



                                                A very popular application is the "NIC integrator" (or "Deboo integrator"), where an NIC block is connected to the common node of a simple R-C lowpass. In this case, the NIC can compensate the pos. resistor R - thus resembling a current source which loads the intergating capacitor.






                                                share|improve this answer











                                                $endgroup$



                                                In this context, we have to discriminate between (1) pure differential (dynamic) neg. resistances (as shown in the examples of the other answers) and (b) a static negative resistance. My following answer concerns only the static negative resistor:



                                                Such an element does not "consume" a current - driven by a voltage source, but - the other way round - it drives a current (prop. to the voltage) in an opposite direction into the voltage source.



                                                Hence. it is a voltage-controlled current source. For such circuits only active realisations are possible (using transistors or - in most cases - opamps). The most popular circuit is the NIC (Negative-Impedance Converter).





                                                schematic





                                                simulate this circuit – Schematic created using CircuitLab



                                                Comments: The shown NIC is stable as long as the source resistance of the voltage source (not shown in the figure) is smaller than R1. These NIC blocks are use for undamping filters, oscillators and other systems with unwanted positive (parasitic) resistances. Mathematically, they can be treated as "normal" resistors in series and parallel combinations - however, with a negative sign, of course.



                                                A very popular application is the "NIC integrator" (or "Deboo integrator"), where an NIC block is connected to the common node of a simple R-C lowpass. In this case, the NIC can compensate the pos. resistor R - thus resembling a current source which loads the intergating capacitor.







                                                share|improve this answer














                                                share|improve this answer



                                                share|improve this answer








                                                edited 1 min ago

























                                                answered 14 mins ago









                                                LvWLvW

                                                14.9k21330




                                                14.9k21330






























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