A question on electric current's density & flow.

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SUMMARY

The discussion centers on the relationship between electric current density (J) and current intensity (I) in conductors, specifically described by the formula J = I / S, where S is the conductor's gauge in mm². It establishes that J is measured in A/mm² and highlights how factors such as wire gauge, current intensity, and material resistance influence heat generation in conductors. Thinner wires exhibit faster electron flow, resulting in increased heat production, quantified by the formula Heat = rI², while power transmission is defined as U⋅I.

PREREQUISITES
  • Understanding of electric current and its measurement in Amperes (A).
  • Familiarity with conductor wire gauge measurements in mm².
  • Knowledge of basic electrical formulas, including J = I / S.
  • Concept of resistance and its impact on heat generation in conductors.
NEXT STEPS
  • Research the impact of different conductor materials on electrical resistance.
  • Learn about the thermal effects of electric current in various mediums.
  • Explore the principles of power transmission in electrical circuits.
  • Investigate the relationship between wire gauge and current capacity in practical applications.
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Electrical engineers, physics students, and anyone interested in understanding the principles of electric current flow and its effects on heat generation in conductors.

neomahakala108
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is this true? thanks for help.

i wished to abstract (generalize on topic) from electric current in physical wires, to for example in air.

i hope this is in proper forum section.
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Electric current's density J depends on electric current's intensity I measured in (A) & on conductor wire's gauge S measured in mm2.

It is described by a physical formula:

J = I / S,

where:
- J is electric current's density, measured in A / mm2,
- I is electric current's intensity, measured in A,
- S is conductor wire's gauge, measured in mm2.

As electrons flow between two points with different electric potential (amount of electrons & positrons in an atom), physical medium resists their flow & gets heated.

Amount of heat depends on:
- conductor wire's gauge, measured in mm2 - the more matter the less heat,
- electric intensity - the more amperes the more heat,
- conductor wire's material - the more resistance the more heat.

in thinner conductor wires, electrons flow faster.
 
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Heat = rI^{2}. Power transmitted = U⋅I.
 
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