Why is an electric force conservative?

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(N/A) An electric force is considered conservative because the work done by the electric force on a charge moving between two points depends only on the initial and final positions of the charge,not on the path taken.
Mathematically,for a conservative force $\vec{F}$,the work done $W = \int_{A}^{B} \vec{F} \cdot d\vec{l}$ is independent of the path.
Furthermore,the work done by an electric force in moving a charge around any closed loop is zero,i.e.,$\oint \vec{F} \cdot d\vec{l} = 0$.
This property is a direct consequence of the fact that the electric field is the gradient of a scalar potential function,$\vec{E} = -\nabla V$,which implies that the force is conservative.

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