Scalar Potentials: Their Gradient Fields and Visualization

Setting up the combined potential due to three point potentials as an example to visualize gradients, divergences, and curls



A field source located a distance 1 south of the origin


Sources located distance 1 at 30° and 150°:



Function that returns the two dimensional (x,y) gradient field of any function declared a function of two arguments:


Generalizing the function to any arguments:


The sum of three potentials:


f(x,y) visualization of the scalar potential:



Contour visualization of the three-hole potential



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