hw6 - ECE 329 Homework 6 Due 5PM 1(magnetostatics...

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ECE 329 Homework 6 Due: Oct 12, 2010, 5PM 1. ( magnetostatics - Biot-Savart ) An infinite current sheet with a uniform current density J s = J s ˆ z A m produces magnetostatic fields B with µ o J s 2 magnitude on both sides of the sheet and with opposing directions in consistency with the right-hand-rule and the Biot-Savart law. Determine the magnetic field intensity H = B µ o at points (0 , d 2 , 0) , (0 , 3 d, 0) and ( 4 d, 4 d, 2 d ) due to a pair of current sheets one in the plane y = 0 with current density J s 1 = 1ˆ z A/m and the other in the place y = d with current density J s 1 = z A/m. 2. ( magnetostatics - Biot-Savart ) 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 J = 2ˆ y A/m 2 (meaning that it contains equal densities of positive and negative charge carriers moving in opposite directions parallel to ˆ y ). Outside the slab, that is for z > W/ 2 and z < W/ 2 , the charge and current densities are zero. a) Using the right-hand-rule and Biot-Savart law discuss why the current slab should generate equal and opposite directed magnetic fields in ± ˆ x
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