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Unformatted text preview: ECE 329 Homework 5 Due: July 1, 2011, 5PM 1. Gaussâ€™s law for magnetic field B states that the surface integral S B Â· d S = 0 over any closed surface S enclosing a volume V . Given that B = a Ë† x + a Ë† y a Ï€R L Ë† z , determine the magnetic flux B Â· d S through the partial cone surface shown in the following figure: 2. An infinite current sheet with a uniform current density J s = J s Ë† z A m produces magnetostatic fields B with Î¼ o J s 2 magnitude on both sides of the sheet and with opposing directions in consistency with the righthandrule and the BiotSavart law. Determine the magnetic field intensity H = B Î¼ o at origin O in the following diagrams due to a pair of current sheets with specified J s vectors. Sheet 1 Sheet 2 O J s = 2Ë† z A m (i) x z Sheet 1 Sheet 2 O (ii) x z J s = 2Ë† z A m J s = 2Ë† z A m J s = 2Ë† z A m 3. Consider an infinite slab (extending in x and y directions) of a finite width W = 2 m described by  z  < W/ 2 . The slab is electrically neutral but it conducts a uniform current density of....
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 Summer '08
 Kim
 Magnetic Field, Electric charge, outer loop, uniform current density

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