Question

why work is done by external agent in electric potential is path independent ​

Answer 1

Answer:

The electrostatic or Coulomb force is conservative, which means that the work done on q is independent of the path taken, as we will demonstrate later. This is exactly analogous to the gravitational force. ... The charge Q is repelled by q, thus having work done on it and gaining kinetic energy.

Answer 2

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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, as we will demonstrate later. This is exactly analogous to the gravitational force. ... The charge Q is repelled by q, thus having work done on it and gaining kinetic energy.