Question

if vector field has a curl then such a field is called as​

Answer 1

Answer:

Rotational vector field: Any vector field whose curl is not zero, is called rotational vector field. Irrotational vector field: Any vector field whose curl is zero, is called irrotational vector field.

Explanation:

Answer 2

Answer:

1. In vector calculus the curl is a vector operator that describes the infinitesimal circulation of a vector field in three-dimensional Euclidean space.

2. The curl of a field is formally defined as the circulation density at each point of the field.

3. A vector field whose curl is zero is called irrotational.

4. We can calculate that the curl of a gradient is zero, curl∇f=0, for any twice continuously differentiable f: R3→R. Therefore, if F is conservative, then its curl must be zero, as curlF=curl∇f=0.