Question

Find the divergence of the vector F= xe^-x i + y j – xz k (a) (1 – x)(1 + e^-x) (b) (x – 1)(1 + e^-x) (c) (1 – x)(1 – e) (d) (x – 1)(1 – e) The question was posed to me in an interview for job. I would like to ask this question from Divergence in section Vector Calculus of Electromagnetic Theory Select the correct answer from above options Electromagnetic Theory questions and answers, Electromagnetic Theory questions pdf, Electromagnetic Theory question bank, Electromagnetic Theory questions and answers pdf, mcq on Electromagnetic Theory pdf,electromagnetic theory book pdf,electromagnetic theory pdf notes,electromagnetic theory lecture notes,electromagnetic theory of light,maxwell electromagnetic theory,electromagnetic theory proposed by,electromagnetic theory engineering physics,electromagnetic theory nptel

Answer 1

The correct option is (a) (1 – x)(1 + e^-x) Easy explanation: Div(F) = Dx(xe^-x) + Dy(y)+Dz(-xz) = -xe^-x + e^-x + 1 – x = e^-x(1 – x) + (1 – x) = (1 – x)(1 + e^-x).