Question

Which of the following identities is always zero for static fields?

(a) Grad(Curl V)

(b) Curl(Div V)

(c) Div(Grad V)

(d) Curl(Grad V)

I have been asked this question in my homework.

Asked question is from Maxwell Law 1 in portion Maxwell Equations of Electromagnetic Theory

Answer 1

Correct choice is (d) Curl(Grad V)

To explain: The curl of gradient of a vector is always zero. This is because the gradient of V is E and the curl of E is zero for static fields.