Question

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

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

Answer 1

Answer: (A), (B), (D)

on the $x-y$ plane for a given $z$.

We know that equipotential surfaces are perpendicular to the direction electric field lines. Here the uniform electric field is in $+z-$direction.

The electric field in $z$ direction suggests that equipotential surfaces are in $x-y$ plane.

Therefore, the potential is a constant for any $x$ for a given $z$, for any $y$ for a given $z$ and, on the $x-y$ plane.



Final Answer: (b),(c),(d)