Question

prove with the help of example and proper explanation that charge is conservative in nature​

Answer 1

Answer:

A force is said to be conservative if the work done by the force in moving a particle from one point to another point depends only on the initial and final points and not on the path followed.

The field where the conservative force is felt is called conservative field. The electric field is a conservative field.  

i.e.Consider an electric field due to a charge Q. The work done to carry a test charge q from one point A to another point B in the field due to Q does not depend upon the path followed. It depends only upon the initial and final positions A and B. It will be independent of the path followed. So we say that the electric field is conservative in nature.

Conservative nature of electric field means that the line integral of the electric field along a closed path is zero.

Consider two point A and B in an electric field due to a charge Q. Work is done by the electric field in moving a test charge from point A to B along a closed path. For that, we have to add up the work done for all the infinitesimal segments into which the path A and B is divided. Such an integral evaluated along a line is called a line integral.