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 volt
B. 9 volt
C. zero
D. 2 volt

Answer

C

Explanation

`vecn=sqrt2i+sqrt2j`
`|vecn|=r_1=sqrt((sqrt2)^(2)+(sqrt2)^(2))=2`
`vecr_(2)=2hati+0hatj`
`or |vecr_(2)|-r_(2)=2`
Potential at point A is `V_(A)=(Iq)/(4piepsi_(0)r_(1)) =1/(4piepi_(0))=(10^(-3)xx10^(-6))/(2)`
`V_(B)=(1)/(4piepsi_(0))q/r_(2)=(1)/(4piepsi_(0))(10^(-3)xx(10^(-6)))/2`
`therefore V_(A)-V_(B)=0`
`therefore V_(A)-V_(B)=0`