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Place 4 equal charges on the vertices of a square. Sketch the electric
field lines for this configuration. Is there any location (other than
infinity) where the net force on a field charge would be zero?
This seems reasonable - yes, at the center of the square. The field
lines "converge" there and move out of the plane of the paper. The point
may be stable or unstable in the plane, and will have opposite stability on
the axis. That allows for a visuzlization of the field lines "meeting" at
the center in 2-D, even though they continue in a third dimension.