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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

`10 V`

B

`40 V`

C

`-10 V`

D

` 30 V`

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)xx2xx(-20)=20`
`V_(B)=30V`
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