EECS+180+Final+Exam+v1+ - Fall 2010 Prof Tsai EECS180 Final...

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Page 1 Prob.1 A current loop of two concentric circular arcs lies on the X-Y plane in free space as shown. Find: (a) the resulting magnetic field intensity H and (b) the magnetic flux density B at the common center O. Y X b a O 90 0 I I I Z Prob.2 A long circular copper conductor with radius 0.5cm carries a total AC current of I amp in free space. (a) Draw the geometry involved with an appropriate coordinate system, (b) Find the magnetic field intensity H in the regions inside and outside of the conductor at the power transmission frequency of 60Hz, (c) Calculate the skin depth of the copper conductor at the microwave transmission frequency of 10GHz; (d) Do the same as in part (b) at the frequency of 10GHz. Prob.3 (a) Write down the Maxwell’s equations in differential form in a medium with material parameters ( , , ); (b) Write down the corresponding equations in phasor form to part (a) for sinusoidal signals or waves at radian frequency ; (c)
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