A new approach to field modelling

Language Global English Deutsch Espanol Francais Italiano Danmark Ceske Chinese no-Pyccku

RSS Twitter Facebook Linkedin YouTube

>> >> >>

Two disc capacitor

Plane capacitor with two disc-shaped plates. This problem may be simulated in both 2D axisymmetric and 3D extrusion formulation.

Problem Type: electrostatics.

Geometry: 2D axisymmetric/3D extrusion.

pair of coaxial discs

a = 2.4 mm, d = 0.1 mm.

Relative permittivity of air ε = 1,
Relative permittivity of media ε = 2,
Potential difference ΔU = 1 V

Find the capacitance of two disc capacitor.

Analytical solution gives the capacitance value of two disc capacitor as
C = ε·ε0·πa2 / d + ε·ε0·a·(ln[16π·a/d] - 1), [F]. *

QuickField simulation gives energy W and electric potential U distribution. The capacitance then can be calculated as C = 2W / ΔU2.

Analytical solution: C = 2·8.854·10-12·3.142·0.00242/0.0001 + 2·8.854·10-12·0.0024·[ln(16·3.142·0.0024/0.0001) - 1] = 3.205·10-12 + 0.259·10-12 = 3.464·10-12 F.

Energy W

Capacitance C

2D axisymmetrical simulation

1.67e-12 C

3.34e-12 F

3D extrusion simulation

1.67e-12 J

3.34e-12 F

two disc capacitor 2d simulation

two disc capacitor 3d simulation

* http://chemandy.com/calculators/circular-capacitor-calculator.htm

View movie Download video: 2D solution, 3D solution.

Download PDF icon View simulation report in PDF.

Download Download simulation files (files may be viewed using any QuickField Edition).

There are no restrictions applied to the QuickField Student Edition postprocessors.
You can view field maps, make plots, calculate integrals and print pictures in the same way that the Professional Edition users do.