Electrokinetics (DC)

The electro-kinetic solution, also called 'DC Conduction Steady State', describes the distribution of static electric current in conductors.


  • 2D, 3D or axisymmetric Solution, static
  • Plot: Scalarpotential, Electric Fieldstrength, Current Density, Eddy Current Losses Density.
  • Table: Ohm Resistance, Electrode Voltage, Electrode Current, Eddy Current Losses.
  • Coupled Thermal: Temperature.


RJ45 Connector

Theory and Basics


The basis equations:
(1)        rot e = 0
(2)        div j = 0
(3)        j = σ e

Boundary conditions:
(4)        n x e  | Γ0e = 0
(5)        n * j  | Γ0j = 0

Electric scalar potential formulation for the conducting region:
(6)        div σ grad v = 0 with 
(7)        e = -grad v

Electrokinetic weak v-formulation:
(8)        (σ grad v, grad v’ )Ω = 0  
            for all v’ element of Ω

Basic Example: Ohm Resistance of Circular Plate

In this example we analyze for the ohm resistance in a circular plate. The simulated electric current density is shown in the following picture. 


Analytic and numerical Results

    Elements: 5406
    Nodes: 11074

Analytic Result: 
    R = 1.08108e-5 Ohm

Numerical Result
    R = 1.069698e-5 Ohm

Deviation: 0.089%

We use cookies

We use cookies on our website. Some of them are essential for the operation of the site, while others help us to improve this site and the user experience (tracking cookies). You can decide for yourself whether you want to allow cookies or not. Please note that if you reject them, you may not be able to use all the functionalities of the site.