Lab 203

# Lab 203 - Lab 203: Electric Potential Name: William...

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Lab 203: Electric Potential Name : William Savastano Object : To calculate the electric potential due to a charge and draw a contour and surface plots of the electric potential using matlab. Theory : For a given charge q the scalar electrostatic potential V at point (x,y) is given by three formulas. >> clear all >> q=1*10^-9; >> esp0=8.85*10^-12 >> k=1./(4*pi*esp0); >> k=1./(4*pi*esp0); >> x=-2.1:0.2:2.1; >> y=-2.1:0.2:2.1 >> [X,Y]=meshgrid(x,y); >> r=sqrt((X-1).^2+(Y-1).^2); >> V=k*q./r; >> [c,h] = contour(x,y,V,20); >> clabel(c,h); xlabel 'x'; ylabel 'y' >> surf(x,y,V) >> [px,py]=gradient(V,.1,.1); >> quiver(x,y,-px,-py,2) >> xlabel 'x'; ylabel 'y'

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4.98105 7.91108 10.8411 13.7711 16.7012 19.6312 22.5612 25.4913 28.4213 31.3513 34.2814 37.2114 40.1414 43.0714 46.0015 48.9315 51.8615 54.7916 57.7216 60.6516 x y -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 -4 -2 0 2 4 -4 -2 0 2 4 0 20 40 60 80
-2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 x y >> clear all >> q1=1*10^-9;

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## This note was uploaded on 03/11/2010 for the course PHYS 121 taught by Professor Opyrchal during the Spring '08 term at NJIT.

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Lab 203 - Lab 203: Electric Potential Name: William...

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