Question

why electric field lines donot form closed loops

Answer 1

the field lines strt or diverge from the positive charges and terminate (or converge) on negative charges. If the electric field lines form closed loops these lines must originate and terminate on the same charge which is noyt possible. ...so electric field lines can form closed loops

Answer 2

Electric Field is a characteristic or property of a Space Produced by Charge Particle...

Note that Source of an Electric field is a charge particle as E = kQ / r^2
E Depends on Q...

Electric field lines are starts from positive charge and terminate at Negative Charge...

To form a closed loop Electric field lines should also start from negative charge and terminate at Positive charge...But this doesnt happen at all...

As Electric field lines from a Point charge are always Radially Outward whereas E-Lines are Radially inward due to negative charge...
This is reason why Electric field lines do not form close loop...
see Snap for clarity...