i) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
i) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?

(ii) Explain why two field lines never cross each other at any point.

Answer:

i) It is true that when a charge is placed in an electrostatic field, it will experience a constant force. As a result, the line of an electrostatic field is a continuous function. A charge, on the other hand, travels constantly and does not leap from one spot to another. As a result, there can’t be an abrupt break in the field line.

ii) The field intensity will begin to shoot in two directions at the same time at any place where two field lines cross each other. This is impossible. As a result, two field lines can never intersect with each other.