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Question

# Consider a uniform electric field in the z-direction. The potential is a constant

A

for any x for a given z

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B

for any y for a given z

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C

on the x-y plane for a given z

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D

All of these

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Solution

## The correct option is D All of theseExplanation:The equipotential surface is the area that is the locus of all vertices with the same potential. These same equipotential points are the spots inside an electric field that have the same electric potential.An equipotential line is formed when these locations are joined by a line or a curve. Whether such points are found on an area, the surface is referred to be an equipotential surface.According to the information provided, the electric field in the z-direction appears uniform, and the equipotential surfaces are in the XY plane. As a result, the potential for a given z is continuous or unchanged in the x-y plane, for every x and y throughout this plane.Therefore, option D is the correct choice.

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