2D Electrostatic Box Fields

A rectangular, charge-free region with three grounded walls and a selectable potential profile on the driven wall.

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2V = 0    E = -grad V
V = f(s) on one wall, V = 0 on the other three
V(x,y) = Σ bn sin(nπs/L) terms, rotated by wall

Potential and field map

Preparing plot

Potential Equipotential Electric field