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

`10V`

`40V`

`-10V`

`30V`

Text Solution

Verified by Experts

The correct Answer is:

`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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