Rayleigh-Like Criterion

We have been using binomial expansion techniques to analyze results from computation of the electric field for various charge distribution. We address, for example, the field of  two point charges [each with charge q] along a line passing directly between the charges.  As the distance from the charges becomes much larger than the separation between the charges, the field looks like a point charge of 2q. This reminded me of the Rayleigh Criterion for resolving two light sources and I was wondering whether a similar criterion exists for two point charges…hmmm.  Is this even a reasonable question? Is there some situation in which it would be an important question?

Rayleigh Criterion
Rayleigh Criterion

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