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

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

Electrostatic Potential and Capacitance

Solution:

As the electric field in the $z$-direction is uniform, equipotential surfaces are in $xy$ plane. Hence the potential for given $z$ is constant on $x$- $y$ plane, for any $x$ in this plane and for any $y$ in this plane. So all are correct