GATE EC 2015 Set 1 — Question 34
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Electromagnetics → Maxwell's Equations → Differential & Integral Forms
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Question
Consider a straight, infinitely long, current carrying conductor lying on the -axis. Which one of the following plots (in linear scale) qualitatively represents the dependence of on , where is the magnitude of the azimuthal component of magnetic field outside the conductor and is the radial distance from the conductor?
Correct answer
(C) [figure]
Solution
According to Ampere's circuital law, for an infinitely long straight conductor carrying current along the -axis, the magnetic field intensity at a radial distance is given by:By symmetry, . Choosing a circular path of radius in the -plane:This shows that is inversely proportional to (). This relationship is represented by a rectangular hyperbola, which is correctly depicted in plot (C).
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