Question

an electrostatic field line is a continous curve.that is,a field line cannot have sudden breaks. why not?

Answer 1

An electrostatic field line is the curve traced by a small positive charge when placed in an electrostatic field.  If the electrostatic charge is kept in near equilibrium and allowed to move very slowly, it will move along the electrostatic field line.

The field line is thus a continuous line.  As it is a curve traced by a physical charge.

Answer 2

Answer:

• An electrostatic line is a continuous curve, because tangent to it at any point represents the direction in which a test charge kept at that point will experience force.
• It cannot have sudden breaks, because no abrupt force acts on a test charge.