why does the electrostatic potential energy difference is divided by charge q?????
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The electrostatic or Coulomb force is conservative, which means that the work done on q is independent of the path taken. This is exactly analogous to the gravitational force in the absence of dissipative forces such as friction. When a force is conservative, it is possible to define a potential energy associated with the force, and it is usually easier to deal with the potential energy (because it depends only on position) than to calculate the work directly.
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U. = K Q/ r. ..... the work needed to bring q from Infinite distance to surface of point charge Q.
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