Question

Find the flux density B when the potential is given by x i + y j + z k in air. (a) 12π x 10^-7 (b) -12π x 10^-7 (c) 6π x 10^-7 (d) -6π x 10^-7 I got this question in homework. My doubt stems from Magnetic Vector Potential in portion Magnetostics 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 (b) -12π x 10^-7 For explanation I would say: The field intensity H = -Grad(V). Since the given potential is a position vector, the gradient will be 3 and H = -3. Thus the flux density B = μH = 4π x 10^-7 x (-3) = -12π x 10^-7 units.