Write an expressions for electric potential due to a continuous distribution of charges.

Explanation

There are three ways for a continuous charge distribution (as seen in chapter 1) .
For linear charge distribution, electric potential at point P .
`V_(L)=kint_(L)(lambdadL)/(|vecr-vecr_(i)|)`
where `lambda` = linear charge density
dL = small segment of length
`vecr` = Position vector of point P
`vecr_(i)` = position vector of dL segment i = 1,2, `cdots ` N
For surface charge distribution electric potential at point P,
`V_(S)=kint(rhodS)/(s|vecr-vecr_(i)|)`
where `rho` = surface charge density dS= area of small surface element
`vecr ` = position vector of point P
`vecr_(i)` = position vector of dS element i=1 ,2,`cdots ` , N
For volume charge distribution electric potential at point P.
`V_(V)=kint(rhodV)/(V|vecr-vecr_(i)|)`
where `rho` = volume charge density
dV= volume of small volume element
`vecr` = position vector of point P
`vecr_(i)` = ition vector of dV element i = 1, 2, .., N