Question

A uniform field of $2.0N{C}^{-1}$ exists in space in x-direction. If the potential at the origin is taken to be $100$V, what will be the expression for the potential at a general point?

Answer 1

The intensity of the electric field is $E=2N/C$ in x-direction.
If potential at origin is $100v,

The potential difference can be expressed as:

$\Delta V=E.x$

$V-100=-2x$

So, the general expression for voltage is

$\Rightarrow V=-2x+100$

$=100-2x$.