Electrodynamic

Capacitor

Goal of this analysis is to analyze the electric field in a capacitor.
Download the model files for this tutorial from the following link:
https://www.magnetics.de/downloads/Tutorials/9.EleDyn/9.1Capacitor.zip
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Result Comparison with Analytic

The capacity \(C\) of a capacitor with area \(A\) and distance \(D\) can be calculated from \[C = \epsilon_0 \cdot \epsilon_r \cdot \frac{A}{D} = 88.5 pF\] with \(\epsilon_0 = 8.854187 \cdot 10^{-12}\) electric constant, \(\epsilon_r = 1\) material property, \(A = 1 \cdot 10^{-4} m^2\), \(D = 1 \cdot 10^{-5}m\)
The electric current \(I\) in a capacitor circuit with a frequency \(f\) and capacity \(C\) results from \[I = -j \cdot 2 \pi \cdot f \cdot C = -j \cdot 2.781624 \cdot 10^{-8} A\] The simulation result is \(2.781624476936687 \cdot 10^{-08}\) and thus, the deviation is smaller than \(0.1\%\).