A graph of the x-component of the electric field as a function of x in a region of space is shown in figure. The `y- and z-components ` of the electric field are zero in this region. If the electric potential is 10 V at the origin, then the potential at x = 2.0 m is

Options

A. 10 V
B. 40V
C. `-10 V`
D. `30V`

Answer

D

Explanation

Area `=(20 times 2)/2=20` volts , E is along negative x axis `implies` from x=0 to x=2 potential increases `implies` V(2) = 10 + 20 = 30 V