Ohm's law in microscopic form

This gives the current density in a material as the electrical conductivity times the local electric field. It is used to describe how current flows through a conducting medium at each point, rather than through a whole circuit element.

\mathbf{J} = \sigma \mathbf{E}

What the symbols mean

electric current density (amperes per square metre)
electrical conductivity (siemens per metre)
electric field strength (volts per metre)

About this formula

  • FieldPhysics
  • TopicElectromagnetism
  • LevelUniversity
  • Also calledcurrent density equals conductivity times electric field, electrical conductivity formula, conductivity equation, microscopic Ohm's law, current density electric field relation, local form of Ohm's law
  • SourceWikidata Q4593291

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