Describe schematically the equipotential surfaces corresponding to

$(a)$ a constant electric field in the $z-$direction,

$(b)$ a field that uniformly increases in magnitude but remains in a constant (say, $z$) direction,

$(c)$ a single positive charge at the origin, and

$(d)$ a uniform grid consisting of long equally spaced parallel charged wires in a plane

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$(a)$ Equidistant planes parallel to the $x -y$ plane are the equipotential surfaces.

$(b)$ Planes parallel to the $x -y$ plane are the equipotential surfaces with the exception that when the planes get closer, the field increases.

$(c)$ Concentric spheres centered at the origin are equipotential surfaces.

$(d)$ A periodically varying shape near the given grid is the equipotential surface. This shape gradually reaches the shape of planes parallel to the grid at a larger distance.

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