Question

A uniform field of $2.0N{C}^{-1}$ exists in space in x-direction. Taking the potential at the origin to be zero, write an expression for the potential at a general point $(x,y,z)$.

Answer 1

The electric field is only in the x-direction $E=2N/C$

The potential at the origin is O.
$dV=-E_{x}dx-E_{y}dy-E_{z}dz$

Substitute the value of electric field:
$\Rightarrow V-0=-2x$

$\Rightarrow V=-2x$.