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

Answer

D

Explanation

`v_(B)-v_(A)=-intE_(x)dx=-` [Area under `E_(x)-x` curve]
`v_(B)-10=-(1)/(2).2.(-20)=20`
`v_(B)=30V`.