## FEM simulation of a parallel plate capacitor

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FEM simulation of a parallel plate capacitor to obtain electric field and voltage distributions.

Updated 12 Mar 2012

Written for Course :-
Computational Electromagnetics, Fall 2011
Department of Electrical Engineering
Indian Institute of Technology Madras (IITM)
Chennai - 600036, India

Authors :-
Sathya Swaroop Ganta, B.Tech., M.Tech. Electrical Engg.
Kayatri, M.S. Engineering Design
Pankaj, M.S. Electrical Engg.
Sumantra Chaudhuri, M.S. Electrical Engg.
Projesh Basu, M.S. Electrical Engg.
Nikhil Kumar CS, M.S. Electrical Engg.

Instructor :-
Dr. Ananth Krishnan
Assistant Professor
Department of Electrical Engineering
http://www.ee.iitm.ac.in/~ananthk

Description :-
Objective of the program is to solve for the steady state voltage distribution of the inside region of a capacitor and then using that to obtain the electrical field distribution in the region inside the capacitor. The capacitor comprises of a region given by x from 0 to 3 units and y from 0 to 2 units in
the coordinate system bounded by two capacitor plates on top and bottom of the region. The region comprises of a material of relative permittivity 1
from y from 0 to 1 units and a material of relative permittivity 4 from y from 0 to 2 units.The capacitor extends indefinitely in the z-direction and the capacitance is computed per unit in the z direction. The sides of the region are given Neumann boundary condition simulating indefinite extension in the sides too. The FEM analysis has Neumann implemented implicitly due to independence of elements in FEM analysis and hence Neumann condition need not be specified explicitly. One of the capacitor plates is excited with a voltage of 1 Volt and other plate is maintained at 0 Volts.

### Cite As

Computational Electromagnetics At IIT Madras (2022). FEM simulation of a parallel plate capacitor (https://www.mathworks.com/matlabcentral/fileexchange/35590-fem-simulation-of-a-parallel-plate-capacitor), MATLAB Central File Exchange. Retrieved .

##### MATLAB Release Compatibility
Created with R2011a
Compatible with any release
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