Category: Science > Physics
Asked by: glogger-ga
List Price: $30.00
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.
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From: hedgie-ga 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 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.
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