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Find the current density on the conductor surface when a magnetic field H = 3cos x i + zcos x j A/m, for z>0 and zero, otherwise is applied to a perfectly conducting surface in xy plane.(a) cos x i(b) –cos x i(c) cos x j(d) –cos x jThis question was posed to me in an internship interview.This key question is from Ampere Law in section Magnetostics of Electromagnetic Theory

Answer»

Right option is (b) –cos X i

The BEST explanation: By Ampere law, Curl (H) = J. The curl of H will be i(-cos x) – j(0) + k(-Z sin x) = -cos x i – zsin x k. In the XY plane, z = 0. Thus Curl(H) = J = -cos x i.


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