For a uniform electric field `vecE = E_(0)(hati)`, if the electric potential at x = 0 is zero, then the vaJut of electric potential at x = +x will be ..... .

Options

A. `xE_(0)`
B. `-xE_(0)`
C. `x^(2)E_(0)`
D. `-x^(2)E_(0)`

Explanation

The potential difference at x =0 and x =+x
`V_((x))-V_((0))=-int_(0)^(x)E_(0)dx=-E_(0)[int_(0)^(x)dx]`
`=-E_(0)[x]_(0)^(x)=-E_(0)x`
but `V_((0))=0`
`:. V_((x))= -E_(0)x`