Consider a unifrom electric field in a region as shown below. Then, potential difference between points `A` and `C` is given by

Options

A. `V_(A) -V_(C) = -int_(AB) Eds cos 45^(@)+int_(BC) Eds cos 45^(@)`
B. `V_(A) - V_(C) = - int_(AB)Eds cos 45^(@) -int_(BC)Eds cos 45^(@)`
C. `V_(A) - V_(C) = 5E`
D. `V_(C) - V_(A) = 5E`

Answer

C

Explanation

Using, `V_(f) - V_(i) = - int_(i)^(f)E.ds`
`rArrV_(f) - V_(i) = - Ed rArr V_(C) - V_(A) = - 5E`
`rArr V_(A) - V_(C) = 5E`