Question

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An electrostatic field line cannot be discontinuous. Why?​

Answer 1

Answer:

(a) An electrostatic field line is a continuous curve because a charge experiences a continuous force when traced in an electrostatic field. The field line cannot have sudden breaks because the charge moves continuously and does not jump from one point to the other. ... Hence, two field lines never cross each other.

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Answer 2

Answer:

An electrostatic field line cannot be discontinuous because a chare follow s smooth path without a break it os impossible for a chare to jump from one place to another place . thats why a chargetld path needs a complete and continuous path .

this is the major reason for the continuity of electrostatic field lines.

One less identified reason comes from quantum physics which connects the discontinuity of field lines to blackhole . it states that as a charge can not jump the discontinuous points it fells in the gap and then it becomes impossible for the charge to escape from there similar to the black hole in which if something fells it is impossible for it to escale from there.

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