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

Options

A. 9 V
B. 0 V
C. 2 V
D. 4.5 V

Explanation

From figure
`OA = sqrt((sqrt(2))^(2)+(sqrt(2))^(2))`
`= sqrt(2+2)`
r=2 and
OB =2

The electric potential at A and B point
`V_(A) = (kq)/(r) ` and `V_(B)= (kq)/(OB)`
`:. V_(A)-V_(B)= (kq)/(2)-(kq)/(2):. V_(A)- V_(B) = 0`