Question

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

• A. for any $x$ for a given $z$
• B. for any $y$ for a given $z$
• C. on the $x$ - $y$ plane for a given $z$
• D. all of these

Answer 1

Answer: (D)

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