Are There Negative Conductivities/Resistivities?

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In summary, the conversation is about the concept of negative conductivities and/or resistivities in the real world. The question is whether these materials have any electric characteristics and the discussion is coming from reading about EM wave equations in a lossy medium. The textbook mentions that conductivity can take on positive or negative values, but doesn't explain the implications of a negative conductivity. It is mentioned that this would violate Ohm's law. For more information, see the Wikipedia page on negative resistance.
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Are there such things as negative conductivities and/or resistivities in the real world? If so, what would these materials' electric characteristics be? This question is coming from my reading in an EM textbook where the EM wave equations are solved for a source-free, lossy medium (finite conductivity).

In the dispersion equation,

[itex]\gamma[/itex]=[itex]\pm[/itex][itex]\sqrt{j\omega\mu(\sigma+j\omega\epsilon)}[/itex]

the textbook states that the conductivity [itex]\sigma[/itex] can be allowed to take on positive or negative values but they don't explain what a negative conductivity would mean.

Thanks!
 
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Related to Are There Negative Conductivities/Resistivities?

What is negative conductivity and resistivity?

Negative conductivity and resistivity refer to a phenomenon in which a material exhibits an electrical resistance that decreases with increasing temperature, in contrast to most materials which have a positive resistance-temperature relationship. This is also known as a negative temperature coefficient of resistance.

How does negative conductivity/resistivity occur?

Negative conductivity/resistivity occurs in materials that have a high concentration of mobile charge carriers, such as electrons or ions, which can move freely and contribute to the flow of electricity. As the temperature increases, the mobility of these charge carriers also increases, leading to a decrease in resistance.

What are some examples of materials with negative conductivity/resistivity?

Some examples of materials with negative conductivity/resistivity include semiconductors, such as silicon and germanium, as well as certain metals, such as copper and silver. In these materials, the concentration of charge carriers can be controlled and manipulated, making them useful for electronic devices.

What are the applications of negative conductivity/resistivity?

Negative conductivity/resistivity has a wide range of applications in various fields such as electronics, thermoelectric devices, and sensors. It can also be used in temperature compensation circuits to maintain a stable output signal, and in materials with a negative resistance-temperature relationship for temperature measurement.

Can negative conductivity/resistivity be used to create perpetual motion machines?

No, negative conductivity/resistivity cannot be used to create perpetual motion machines. While it may seem like the decrease in resistance could lead to unlimited energy generation, the laws of thermodynamics still apply and energy cannot be created or destroyed. Additionally, the decrease in resistance is only valid over a limited temperature range and cannot be sustained indefinitely.

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