Point charges – fields and potentials

a=-1.453125-(0.015625*i)

b=1.859375-(0.015625*i)

c=-1.265625+1.25*i

A=slider([-5,5,40])

B=slider([-5,5,40])

C=slider([-5,5,40])

function(V,x,y)=A/sqrt([x-Re([a])]^2+[y-Im([a])]^2)+B/sqrt([x-Re([b])]^2+[y-Im([b])]^2)+C/sqrt([x-Re([c])]^2+[y-Im([c])]^2)

z=function(V,x,y)

E_1=-function(oppartial(x),function(V,x,y)),E_2=-function(oppartial(y),function(V,x,y))

Field vectors:

vector(x,y)=vector(E_1,E_2)

Field lines (hold opt to see "total derivative" in Math menu):

function(optotal(t),vector(x,y))=vector(E_1,E_2)



Author: David A. Craig <http://web.lemoyne.edu/~craigda/>

Graph of the formula

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