329sum09hw5 - ECE 329 Homework 5 Due: July 6, 2009, 5PM 1....

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ECE 329 Homework 5 Due: July 6, 2009, 5PM 1. The region between two infnite, plane parallel, perFectly conducting plates at z =0 and z =1 m is flled with two slabs oF perFect dielectric materials having constant electric permittivities ± 1 =2 ± o For 0 < z < d < 1 m (region 1) and ± 2 For d < z < 1 (region 2). The bottom plate is held at constant potential V (0) = 0 and the electrostatic feld between the plates is known to be E ( z )= - 3 ± 2 ± 2 +2 ± 1 ˆ z V m , 0 < z < d - 3 ± 1 ± 2 +2 ± 1 ˆ z V m , d < z < 1 . a) VeriFy that the above feld satisfes Maxwell’s boundary condition regarding D at the boundary between the two dielectric slabs. b) Write the expression For the electrostatic potential V ( z ) For 0 < z < 1 m in terms oF ±
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