Consider the parallel plate capacitor shown below. A surface charge on its plate

Question

Consider the parallel plate capacitor shown below. A surface charge on its plates creates a potential between them: 1. V 12V for0s1 a) Using the meshgrid command, generate a rectangular grid in the y-z plane in the range y Z L d Using the imagesc and colorbar commands, plot the potential. Using the gradient command, calculate the flux density E between the plates. Using the quiver command, plot the field. b) Turn in a report consisting of a cover page, this problem description, your plots (with titles and labels) and MATLAB script. L-1 mm d 0.001 mm (0, 0) y-L/2

Explanation / Answer

clc;

close all;

clear all;

L = 1;

y = 0:0.05*L:L;

d = 1;

z = 0:0.05*d:1*d;

[Y,Z] = meshgrid(y,z)

V = 12.*Y/d;

%surf(Y,Z,V);

%figure

C = V;

imagesc(C);

colorbar

title('Potential');

figure

[EY,EZ] = gradient(V);

quiver(Y,Z,EY,EZ);

title('Electric field');

OUTPUT:-

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