Question

For a solenoidal field, the surface integral of D will be,

(a) 0

(b) 1

(c) 2

(d) 3

The question was posed to me in final exam.

My question comes from Maxwell Law 3 topic in chapter Maxwell Equations of Electromagnetic Theory

Answer 1

Right answer is (a) 0

For explanation I would say: For a solenoidal field, the divergence will be zero. By divergence theorem, the surface integral of D and the volume integral of Div(D) is same. So as the Div(D) is zero for a solenoidal field, the surface integral of D is also zero.