solution homework 12 - ECE 2317 Applied Electricity and...

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1 ECE 2317 Applied Electricity and Magnetism Spring 2006 Homework #12 1. A rectangular loop of wire has a length 2 a in the x direction and a width 2 b in the y direction. The loop lies in the z = 0 plane and is centered at the origin. Assuming that the loop carries a current of I Amps counterclockwise, as viewed from the positive z axis, find the magnetic field vector H at the center of the loop. 2 2 2 2 2 2 [A/m] 2 I a b H z b a b a a b π = + + + ± 2. Find the magnetic flux density vector B at the origin for the problem shown below, consisting of an infinite wire with a semi-circular bend. 0 [T] 4 I B z a μ = − ± 3. Use the flux method to calculate the inductance per unit length L L (length in the z direction) of a transmission line consisting of a pair of parallel, planar conductors of width w , and spacing h . Assume that the thickness of the plates is negligible. Assume w d >> and neglect fringing. Assume that the material between the plates is nonmagnetic ( 0 μ μ = ).
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