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But what would the force equal if the distance between, say two point charges, was zero ie they are touching. Common sense says there would be no force, as neither will move, but this situation would mean that the force would equal the product of the two charges

__divided by zero__squared. As far as my limited maths knowledge stretches, dividing by zero leads to an undefined number.

What does this then say about the force? Would it eqaul zero as you might expect? Or would it be undefined?