how is electrostatic force a conservative force? Share with your friends Share 0 Rupak Bhattacharya answered this a conservative foce does equal work on an object as that object shift from one point to a new point independently of the path taken.now the electric field E and can be expressed as ∇V which is a scalar potential.now the force on a charge of q= Eq and the work done to move distance drW=∫qE.dr =∫q∇V.drnow this quantity depends on the values of r, the separation distance between two end points which is same irrespective of the path chosen. So electric force is conservative. 1 View Full Answer