Why do the electrostatic field lines not form closed loops?

Why do electric field lines not form closed loop ?

The equation out of four maxweel's equations which show (s) electric field lines do not form closed loops is/are

Assertion : An electrostatic field line never form closed loop. Reason : Electrostatic field is a conservative field.

Assertion : An electrostatic field line never form closed loop. Reason : Electrostatic field is a conservative field.

Electrostatic field lines of force do not form closed loops. If they form closed loops then the work done in moving a charge along a closed path will be zero. From the above two statements can you guess the nature of electrostatic force?

What law asserts that electric field lines cannot form closed path?

Do electrostatic field lines form (electrostatic) closed loops? Give reason.