Question

why do the electrostatic field lines not form closed loop

Answer 1

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Electrostatic field is created due to presence of charges. ... The same holds for negative charges. Now, if you assume the electric field due to a point positive charge to form closed loops, it will repel a positive charge placed in one direction while it will attract another positive placed in the opposite direction.
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Answer 2

Hey !!

Electric field lines start from positive charge and end at infinity. Therefore, these lines do not form close loop.

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