Question

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

Answer 1

Hint: The force which is experienced by the charge does not have any breakage. It does not have any breakage because the charge will not jump from point to point.

Complete step by step answer:
Before answering the given question, let us understand the term called Electrostatic field. The electric field can be considered as a property of electric associated every point in the space where it is present in every form.

By varying the magnetic field or the electric charge we can produce the electric field. We can consider the direction of the electric field as the direction of force when it is exerted on a positive charge.

The electric field can be found easily with the help of the gauss law. The Gauss law states that the total electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity.

Now we can answer the given question. They have given that the electrostatic field line is a continuous curve. Yes, the electrostatic field line is a continuous curve because a unit charge always experiences a continuous force when it is placed in an electrostatic field. The unit charge is the charge that passes through the cross-section of an electric conductor that carries one ampere of current in one second.

Therefore, the electrostatic field line will not have any sudden breaks because the charge will move continuously, and also the charge will not jump from one point to another.

Note: We have other properties of the electric field lines. The magnitude of the charge is directly proportional to the number of the electric field lines. The field lines are always perpendicular to the surface of the charge. The field lines have two points. The starting point will be at the positive charge and the ending point will be at a negative charge.