The work done to carry a test charge (q) from point A to another point B in the field due to Q does not depend upon the path followed. Electric field depends upon the initial and final positions A and B. Electric fields are independent of the path followed. So we say that the electric field is conservative in nature.
Is electric field always conservative?
The electrostatic field or electric field due to charges is conservative but the electric field induced due to time varying magnetic field is non-conservative in nature. … Work done by force due to induced electric field in a closed loop is not zero.
How do you prove that an electric field is conservative in nature?
The electric field is conservative in nature. We can prove this by proving that the work done by an electric field depends only on the starting and the ending points of the cycle but not on the path taken by the electric field.
What do you mean by the conservative nature of electric field?
Answer: The conservative nature of electric field means that the work done to move a charge from one point to another point inelectric field is independent of path, but it depends only on the initial and final positions of the charge.
Why is electric field not conservative?
Specifically, the induced electric field is nonconservative because it does net work in moving a charge over a closed path, whereas the electrostatic field is conservative and does no net work over a closed path. Hence, electric potential can be associated with the electrostatic field, but not with the induced field.
Why induced electric field is non conservative in nature?
Note:The induced electric field is non-conservative in nature because a net work is done by this field in moving a charge over a closed path. … This is because the magnetic field is caused by the electric field obtained by moving charges.
Why is electric field curl zero?
The curl of the gradient is the integral of the gradient round an infinitesimal loop which is the difference in value between the beginning of the path and the end of the path. In a scalar field there can be no difference, so the curl of the gradient is zero.
Why electric field is always perpendicular to an equipotential surface?
An equipotential surface is circular in the two-dimensional. Since the electric field lines are directed radially away from the charge, hence they are opposite to the equipotential lines. Therefore, the electric field is perpendicular to the equipotential surface.
Which statement does not say that electrostatic field conservative?
Which statement does not say that electrostatic field is conservative? If the curl of E is identically zero. The potential difference between two points is zero.
Why is electrostatic force conservative in nature?
Force is conservative if work done along a path that starts and ends at the same point is 0. We have shown that the work done by the electric force along a path starting and ending at the same point is 0. Hence, the electric force is conservative.
Which of the following electric fields are conservative?
The conservative nature of electrostatic fields establishes the electrostatic field as a conservative field. This opens the door for conservation of energy and the work-kinetic energy theorem in discussions of electric fields and electric forces.
What do you mean by conservative fields electric field is conservative or non conservative?
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. Electric field is a conservative field.