An electrostatic field is said to be conservative, when -

1
the divergence of the field is equal to zero.
2
the curl of the field is equal to zero.
3
the curl of the field is equal to – \(\frac{\delta^2E}{\delta t^2}\).
4
the Laplacian of the field is equal to \(\mu\epsilon \frac{\delta^2 E}{\delta t^2}\).

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