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.

Options

A.
B.
C.
D.

Answer

A

Explanation

`E_(r)=-(DeltaV)/(Deltar), E_(x)=-(DeltaV)/(Deltax)`
For `-2 le x le 0, E_(x)=-((10-0))/([0-(-2)])=-5 NC^(-1)`
For `0 le x le 2, E_(x)=0`
For `2 le x le 4, E_(x)=-([20-10])/([4-2])=-5 NC^(-1)`
For `4 le x le 8, E_(x)=-([0-20])/([8-4])=5 NC^(-1)`