ECE 329Homework 5Due: July 6, 2009, 5PM1. The region between two infnite, plane parallel, perFectly conducting plates atz=0andz=1m isflled with two slabs oF perFect dielectric materials having constant electric permittivities±1=2±oFor0< z < d <1m (region 1) and±2Ford < z <1(region 2). The bottom plate is held at constantpotentialV(0) = 0and the electrostatic feld between the plates is known to beE(z)=-3±2±2+2±1ˆzVm,0< z < d-3±1±2+2±1ˆzVm, d < z <1.a) VeriFy that the above feld satisfes Maxwell’s boundary condition regardingDat the boundarybetween the two dielectric slabs.b) Write the expression For the electrostatic potentialV(z)For0< z <1m in terms oF±
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