An electric charge `10^-3muC` is placed at the origin (0, 0) of X-Y co-ordinate system. Two points A and B are situated at `(sqrt2, sqrt2)` and (2, 0) respectively. The potential difference between the points A and B will be

Options

A. `4.5 V`
B. `9 V`
C. zero
D. `2 V`

Answer

C

Explanation

Here, `q = 10^(-3) muC` is at `O`. `A(sqrt(2),sqrt(2))`, and `B(2,0)` are shown in Fig

`r_(1) = OA = sqrt((sqrt(2))^(2) + (sqrt(2))^(2)) = 2`
`r_(2) = OB = 2`
`V_(A) - V_(B) = (q)/(4pi in_(0) r_(1)) - (q)/(4pi in_(0) r_(2)) = 0`.