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Assum that an electric field vecE = 30 x...

Assum that an electric field `vecE = 30 x^(2) hati `exists in space. Then the potential difference `V_(A) - V_(0)`, where `V_(0)` the potential at the origin and `V_(A)` the potential at x = 2 m is :

A

`-80 J`

B

`80 J`

C

`120 J`

D

`-120 J`

Text Solution

Verified by Experts

The correct Answer is:
A
Given unit in options is wrong.
By using `dv=-vec(E).vec(dx)`
`DV=-int vec(E).vec(dx)`
`V_(A)-V_(0)=-underset(x=0)overset(x=2)(int)30x^(2)dx=-10x^(3)|_(x=0)^(x=2)`
`V_(A)-V_(0)=-10[8-0]=-80 V`
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