What happens when electric current is distributed in the material?

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Discussion Overview

The discussion revolves around the behavior of electric current as it is distributed within various materials, particularly focusing on the travel characteristics of electric currents and the potential differences at different positions within those materials. The scope includes theoretical considerations, practical applications, and modeling approaches related to both conductive and non-conductive materials.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning
  • Experimental/applied

Main Points Raised

  • Some participants inquire about the travel characteristics of electric currents and how potential differences are distributed within materials, noting that the shape and state of the material can influence these characteristics.
  • One participant suggests applying the vector form of Ohm's law in conjunction with Ampere's circuital law to describe current density and electric field relationships in resistive materials.
  • Another participant shares an anecdote about using electric current principles to detect internal cracks in oil pipes, indicating practical applications of current distribution concepts.
  • It is noted that the question of current distribution is complex, especially in three-dimensional objects, and semiconductor device designers specifically consider these factors.
  • One participant proposes using equivalent circuit simulations to model materials as 3D resistor networks to approximate current distribution data.
  • A point is made regarding the limitations of point contacts in measuring current density, emphasizing the need for defined contact areas and idealized geometries for analytic solutions.
  • Participants mention that real-world electric field patterns and current flow are often analyzed using finite element numerical techniques, highlighting the complexity of the topic.

Areas of Agreement / Disagreement

Participants express a range of views on the complexity of the topic, with no consensus on a single approach or solution. Multiple competing models and methods for understanding current distribution are discussed.

Contextual Notes

Limitations include the dependence on material properties, the influence of external conditions, and the need for idealized geometries in analytical solutions. The discussion acknowledges the complexity of transient effects and the challenges in modeling real-world scenarios.

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TL;DR
What happens when electric current is distributed in the material(Non-metal)?
When supplying electricity to the material. the shape of the material may or may not be square.
This material may be

This material may be moisture materials or solid materials that may conduct electricity.
pic 1ss.png

I would like to know the travel characteristics of electric currents and the potential difference in each position of the material.
How will be distributed?
pic 2ss.png


Is there a topic or theory that explains this behavior? Please advise me to study.
 
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I believe that the vector form of Ohm's law in combined with Ampere's circuital law can be applied.

J = σ E

where J is the current density at a given location in a resistive material, E is the electric field at that location, and σ (sigma) is a material-dependent parameter called the conductivity
 
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Another said:
Summary:: What happens when electric current is distributed in the material(Non-metal)?

I would like to know the travel characteristics of electric currents and the potential difference in each position of the material.
How will be distributed?
Well, that depends on the state of the material and the environment. A research institute I worked for 40 years ago used this principle for detecting internal cracks in oil pipes. You run a high current through the material and measure the magnetic field between the poles (the current and the field will "wrap around" any cracks).
 
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Another said:
Summary:: What happens when electric current is distributed in the material(Non-metal)?

I would like to know the travel characteristics of electric currents and the potential difference in each position of the material.
How will be distributed?
That's not a simple question. By the way, you have a 3D object, not 2D.

Semiconductor device designers consider exactly that question. For example:

1576683331939.png


There are also analytic methods as in
https://www.google.com/url?sa=i&sou...aw19xF9WbQbgd0CFFKQrv87b&ust=1576769471286070
1576683720744.png

https://www.google.com/url?sa=i&sou...aw19xF9WbQbgd0CFFKQrv87b&ust=1576769471286070

If the external voltage is not constant in time, there are also eddy currents, surface currents, and transient solutions to consider. This is no simple answer to your question. I expect that many PhD theses have been written on that question.
 
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Another said:
I would like to know the travel characteristics of electric currents and the potential difference in each position of the material.

One way to approximately get such data is an equivalent circuit simulation by modelling the material as a 3D resistor network.
 
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A point has no area so the resistance of a point contact is infinite. The current density at a point contact is also infinite. While voltage measurements can be made at points, the current density pattern in a resistive material must be specified between defined contact areas, not between point contacts.

Analytic solutions require restriction of the contact areas and boundary conditions to idealised geometry.

Electric field patterns and current flow in real-world bounded-solids are often solved using finite element numerical relaxation techniques.
 

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