Electric Field of a Parallel Plate capacitor using 2D Poisson Equation

Electric potential and E-field of a cross section of a parallel plate capacitor is calculated.

A cross section of a 2D parallel plate capacitor is placed at the center of computation domain. A 2D Finite Difference Method (FDM)algorithm is employed to solve the Poisson equation.The resulting electric potential is displayed as contour in the first figure. The second figure shows the detailed contour of the Electric field magnitude, while the third one shows the direction vectors as quiver plot.