Centre of charge for infinite charges distributed linearly

[jerry94]

What is a centre of charge?
How can i take a centre of chrage for infinite number of charges distributed in a linear manner?

 

[gyanender]

centre of charge means the point at which the charge Q must be present so as to give a electric effect equivalent to the original configuration of the system of the charge Q.

your second question is invalid question because propertie like centre of charge,centre of mass can only be defined for finite systems,not for infinite system.

your second question was analogous to ask midpoint of a line...as midpoint for a line doesnot exist...midpoint is defined only for a line-segment(finite length).