Question

A region of field where curl of the field is non zero

Answer 1

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At every point in the field, the curl of that point is represented by a vector. ... If the vector field represents the flow velocity of a moving fluid, then the curl is the circulation density of the fluid. A vector field whose curl is zero is called irrotational. The curl is a form of differentiation for vector fields.

The divergence of the electric field is finite and never zero. ... So the curl must be zero since lines of force do not form closed curves but diverge or converge. Since curl E =0, E can be expressed a gradient of a scalar potential V since curl grad V always vanishes

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