Question

Find the value of Stoke’s theorem for A = x i + y j + z k. The state of the function will be

(a) Solenoidal

(b) Divergent

(c) Rotational

(d) Curl free

The question was posed to me during an interview for a job.

This interesting question is from Stokes Theorem topic in section Vector Calculus of Electromagnetic Theory

Answer 1

Right choice is (d) Curl free

Easy explanation: Since curl is required, we need not bother about divergence property. The curl of the function will be i(0-0) – j(0-0) + k(0-0) = 0. The curl is zero, thus the function is said to be irrotational or curl free.