

Subject:
Electromagnetics
Category: Science > Physics Asked by: gloggerga 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. 

There is no answer at this time. 

Subject:
Re: Electromagnetics
From: hedgiega on 06 Oct 2006 21:33 PDT 
"here ?0 and a are positive constants..." should be "here ?0 and a2 are positive constants.." ?? Charge would redistribute 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. 
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