coloumbic force is conservative with mathematical proof
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Formula
F = k \frac{q_1q_2}{r^2}
F = electric force
k = Coulomb constant
q_1, q_2 = charges
r = distance of separation
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See there are several methods to check whether a force is conservative or not. A force which defines potential energy of a system ( not a single particle) can be called a conservative force. If the closed integral of a function defining force becomes zero, then the force is said to be conservative.
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