Equation: Static Current

In one sentence: Elmer equation for DC electric conduction — solves ∇·(σ∇V) = 0 for current density and Joule heating.

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Overview

Workbench: FEM
Menu: FEM → Solve → Elmer Equations → Static Current

Solves for the DC electric current distribution in a conductor. Computes current density J = σ∇V and Joule heating (I²R losses).

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Required

• BCs: Electrostatic Potential on terminals
• Material: Electrical conductivity (σ)

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Use cases

Busbar current distribution, PCB trace heating, grounding electrode design.

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See also

• Equation: Electrostatic — for capacitor / insulator problems
• Constraint: Electrostatic Potential — voltage BC
• Solver Elmer — must be added first
• FEM Workbench — workbench overview