Industrial Educational Scientific Sample problems Examples gallery Step-by-step tutorials Verification examples Programming examples Distributive examples Success stories Customers Main >> Applications >> Sample problems >> Cylindrical capacitor Cylindrical capacitor cylindrical capacitor simulation, coaxial cylindrical electrodes, capacitor electric field Capacitor consists from two coaxial cylindrical collinear electrodes. It may be simulated as 2D axisymmetric or 3D extrusion problem. Both approaches give same result and good correlation with analytical solution. Problem Type: 2D axisymmetric/3D extrusion electrostatics. Geometry: a = 5 mm, b = 6 mm. Model depth l = 40 mm. Given: Relative permittivity of air ε = 1, Relative permittivity of media ε = 2, Voltage difference ΔU = 1 V. Problem: Find the capacitance of cylindrical capacitor. Solution: Analytical solution gives the capacitance value of ideal cylindrical capacitor (without end effects) as C = 2πεε0 * l / ln(a/b) [F]. * QuickField simulation gives energy W and electric potential U distribution. The capacitance then can be calculated as C = 2W / ΔU2. Results: Analytical solution (cylindrical capacitor without end effects): C = 2*3.142*2*8.854e-12 * 0.04 / ln(0.006/0.005) = 0.4451e-11 / 0.1823 = 2.44e-11 F. Energy W Capacitance C 2D axisymmetrical simulation 1.24e-12 J 2.48e-12 F 3D extrusion simulation 1.25e-12 J 2.50e-12 F *Wikipedia, Capacitance. Download video Watch online on YouTube View simulation report in PDF. 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. .

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