A point charge of `10^(-8) C` is situated at the origin of co-ordinatges. Find the potential difference between the points `A(4,4,2) and B(1,2,2)`.

Answer

15

Explanation

Here, `q=10^(-8)C,vecr_(A)=4hati+4hatj+2hatk`
So that `r_(A)=sqrt(4^(2)+4^(2)+2^(2))=6`
`vecr_(B)=1hati+2hatj+2hatk`,
So that, `r_(B)=sqrt(1^(2)+2^(2)+2^(2))=3`
`V_(A)-V_(B)=(q)/(4piepsilon_(0))[(1)/(r_(A))-(1)/(r_(B))]`
`=9xx10^(9)xx10^(-8)[(1)/(6)-(1)/(3)]=-15V`.