The electrical potential function for an electrical field directed parallel to the x-axis is shown in the given graph.
Draw the graph of electric field strength.

Answer

A, B, C, D

Explanation

`E=-(dV)/(dx)=-` Slope V-x graph.
From `x=-2m` to `x=0`, slope `=+5V//m`
`:. E=-5V//m`
From `x=0` to `x=2m,` slope `=0`
`:.E=0`
From `x=2m` to x=4m`, slope `=+5V//m,`
`:. E=-5V//m`
From `x=4m` to x=8m`, slope `x=--5V//m`
`:. E=+5V//m`
Corresponding E-x graph is as shown in answer.