Question

In the conversion of line integral of H into surface integral, which theorem is used?

(a) Green theorem

(b) Gauss theorem

(c) Stokes theorem

(d) It cannot be converted

This question was addressed to me in my homework.

The above asked question is from Maxwell Law 2 in chapter Maxwell Equations of Electromagnetic Theory

Answer 1

Right answer is (c) Stokes theorem

Explanation: To convert line integral to surface integral, i.e, in this case from line integral of H to surface integral of J, we use the Stokes theorem. Thus the Maxwell second equation can be written as ∫H.dl = ∫∫J.ds.