##  [Ohm's Law](/index.php/ohms-law) 

  ##  [Ohm's Law](https://natural.quantumdictionary.io/ohms-law-0) 

  

 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/index.php/topic-specific-dictionaries/natural-formal-sciences)



**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An empirical relation that, in its simplest form, relates the voltage across a conductor to the current through it via V = IR; microscopically it corresponds to a linear constitutive relation J = σ E between current density and electric field for ohmic materials.

 

 

 

 

 





 

 



 ##  [Ohm's Law](https://engineering.quantumdictionary.io/ohms-law-1) 

  

 [![Engineering & Applied Technologies Dictionary](/sites/default/files/styles/large/public/2026-01/Engineering%20%26%20Applied%20Technologies.png.webp?itok=_IKO7_-n)](/index.php/topic-specific-dictionaries/engineering-applied-technologies)



**Engineering & Applied Technologies Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A constitutive relation for linear resistive elements stating that the voltage across the element V is proportional to the current through it I with constant of proportionality R (V = I·R). In AC steady state this generalizes to V = Z·I using complex impedance Z; the law applies within the linear regime of the material or device and excludes inherently nonlinear or quantum transport regimes.

 

 

 

 

 





 

 



 ##  [Ohm's Law](https://health.quantumdictionary.io/ohms-law-2) 

  

 [![Health & Life Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Health%20%26%20Life%20Sciences.png.webp?itok=yyyaiQOY)](/index.php/topic-specific-dictionaries/health-life-sciences)



**Health & Life Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A linear constitutive relation for an electrical conductor stating that the potential difference (voltage) V across the conductor is proportional to the electric current I through it, with the constant of proportionality called resistance R (V = I·R); applicable to ohmic, time-invariant conductive elements and used as a local approximation in bioelectric analyses when conductance is linear and cap