Ohm's Law (Microscopic Form)

📊 advanced

$$\vec{J} = \sigma \vec{E}$$

Relates current density to the electric field within a conductor.

Variables & Units

$\vec{J}$

Current density

Unit: $A/m^2$

$\sigma$

Electrical conductivity

Unit: $S/m$

$\vec{E}$

Electric field

Unit: $V/m$

Key Information

📐 Derived From

Drude model of electron conduction.

💡 Example

Calculating current density in a copper wire.

🔧 Applications

Materials science and semiconductor physics.

⚠️ Constraints

Linear, isotropic, and homogeneous conductors.

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