Centre of Charge: What Is It & How Can I Take It?

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The centre of charge refers to the point where a total charge Q can be placed to replicate the electric effect of a given charge distribution. It is applicable only to finite systems of charges, as properties like the centre of charge cannot be defined for infinite distributions. The analogy of finding a midpoint for a line illustrates this limitation, as a midpoint exists only for finite segments. Therefore, attempting to determine a centre of charge for an infinite number of charges is invalid. Understanding these concepts is crucial for analyzing electric fields and forces in physics.
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What is a centre of charge?
How can i take a centre of chrage for infinite number of charges distributed in a linear manner?
 
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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).
 

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