329fall09hw4 - ECE 329 Homework 4 Due 5 PM 1 Consider a...

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Unformatted text preview: ECE 329 Homework 4 Due: September 22, 2009, 5 PM 1. Consider a simplified model of a vacuum diode consisting of a cathode in the x = 0 plane and an anode in the x = d plane, where the anode is held to a constant potential V a = 1 V relative to the cathode. If the potential distribution in the region < x < d is given by V ( x ) = V z ( x/d ) 4 / 3 , find the following: a) Electric field E at x = d/ 2 b) Volumetric charge density at x = d/ 4 c) Surface charge density s on the anode 2. A pair of infinite, plane parallel copper plates at z = 0 and z = W > carry equal and oppositely signed surface charge densities s = 2 C/m 2 which generate a constant electric field in the + z direction in the region between the plates (the field is zero outside of the gap region < z < W ). a) If the space between the plates were occupied by a vacuum ( = ), what would be the corre- sponding electric field E , displacement field D and polarization field P vectors in the gap?...
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329fall09hw4 - ECE 329 Homework 4 Due 5 PM 1 Consider a...

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