Assume that an electric field `vec(E) = 30 x^(2) hat(i)` exists in space. Then the potential differences `V_(A) - V_(0)` where `V_(0)` is the potential at the origin and `V_(A)`, the potential at `x = 2m` is

Options

A. 120 V
B. `-120 V`
C. `-80 V`
D. 80 V

Answer

C

Explanation

`E = 30 x^2 hati`
`V=-int_0^2vecE.dvecx`
`=-int_0^(2)30x^2dx =-30 [x^3/3]_0^2`
`=-10 xx8=-80` Volt.