An electric field line is continuous curve that is a field line cannot have a certain breaks why not
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(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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That is, a field line cannot have sudden breaks. ... The charge moves continuously so that the field line cannot contain sudden breaks and charge can not jump from one point to the other suddenly. (b) The electric field intensity can not show two directions at a position. Hence two lines can never cross to each other.
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