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A graph of the x-component of the electr...

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

A

10V

B

40V

C

`-10V`

D

30V

Text Solution

Verified by Experts

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