I'm suppose to set a general function of the electric field, at any point in the xy plane. As the picture shows, there are 2 point charges with 1 charge, and 1 point charge with -3 charge. Each of them are equally distanced from the origin, and all 3 are evenly spaced apart.
I'm used Coulumbs law
The Attempt at a Solution
First I defined all the point charge locations, along with an arbitrary point, to represent the unknown point of the function.
Then I merely use Coumlumbs law, to add up all the expressions:
The final expression isn't pretty at all though:
The field as displayed by maple (if one fixes the fieldstrength, otherwise some arrows become very very small) looks like this:
Which to me looks about right. However the vector function isn't divergence free, which suggests I have messed up something. What am I doing wrong?
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