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Q: Electromagnetics ( No Answer,   1 Comment )
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 Subject: Electromagnetics Category: Science > Physics Asked by: glogger-ga List Price: \$30.00 Posted: 04 Oct 2006 21:21 PDT Expires: 07 Oct 2006 14:13 PDT Question ID: 770900
 ```Consider an infinite perfect conductor that occupies all space for z < 0. The surface of this conductor coincides with the x?y plane. Although we don?t know what exactly exists on top of the conductor, we know that the space z > 0 is occupied by a simple dielectric with a dielectric constant ?r. A total charge Q is placed on this conductor, which results in a surface charge density of ?s =?0/((a2 + x2 + y2)^(3/2)) . where ?0 and a are positive constants. 1. Find an equation that relates Q and ?0. Your equation may contain an integral as long as the integral is clearly defined so a computer may calculate it without any additional information. 2. Find the polarization of the dielectric on the surface of the conductor (i.e. at z = 0+). 3. Relate the voltage at (0,0,-5000) with the voltage at (0,0,-1). Justify your answer.```
 ```"here ?0 and a are positive constants..." should be "here ?0 and a2 are positive constants.." ?? Charge would re-distribute itself to become more uniform. Roughly with speed of light (depending on permitivity of conductor) Since conductor is infinite, it will take infinite time for system to reach equilibrium.```