Question

Why are non conservative fields form closed loops?

Answer 1

Explanation:

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answer..

In the case of a conservative field, the line integral must be zero since one of the possible paths is the zero length path and the result must not depend on the path.

Thus, if the vector field is conservative, there can be no closed field loops.

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Answer 2

Explanation:

If Electric field line were a closed loop, the displacement would always be parallel to the field and hence the work will always be positive. This means, work done by Coulomb force cannot be zero. And this contradicts with the fact that Coulomb force is a conservative force. ... Those field lines forms closed loops!

or

In the case of a conservative field, the line integral must be zero since one of the possible paths is the zero length path and the result must not depend on the path. ... Thus, if the vector field is conservative, there can be no closed field loops