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Wong
Sep8-04, 05:15 AM
Hello,

For a system of n conductors, each with potential V_{i} and total charge q_{i}, how may one show that

V_{i} = \sum_{j=1}^{n}p_{ij}Q_{j}, i=1,...,n

where p_{ij} depends on the geometry of the conductors only and not Q_{i}?
Gerard Westendorp
Sep9-04, 04:18 AM
<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no, location=no,scrollbars=yes,resizable=yes,status=no ,width=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usenet ASCII</TITLE></HEAD><BODY topmargin=0 leftmargin=0 BGCOLOR=#F1F1F1><table border=0 width=625><td bgcolor=midnightblue><font color=#F1F1F1>This Usenet message\'s original ASCII form: </font></td></tr><tr><td width=449><br><br><font face=courier><UL><PRE>\n\n\nWong wrote:\n\n&gt; Hello,\n&gt;\n&gt; For a system of n conductors, each with potential V_{i} and\n&gt; total charge q_{i}, how may one show that\n&gt;\n&gt; V_{i} = \\sum_{j=1}^{n}p_{ij}Q_{j}, i=1,...,n\n&gt;\n&gt; where p_{ij} depends on the geometry of the conductors only\n&gt; and not Q_{i}?\n&gt;\n\n\nHint: Superposition principle.\n\nGerard\n\n</UL></PRE></font></td></tr></table></BODY><HTML>');"> <IMG SRC=/images/buttons/ip.gif BORDER=0 ALIGN=CENTER ALT="View this Usenet post in original ASCII form">&nbsp;&nbsp;View this Usenet post in original ASCII form </a></div><P></jabberwocky>Wong wrote:

> Hello,
>
> For a system of n conductors, each with potential V_{i} and
> total charge q_{i}, how may one show that
>
> V_{i} = \sum_{j=1}^{n}p_{ij}Q_{j}, i=1,...,n
>
> where p_{ij} depends on the geometry of the conductors only
> and not Q_{i}?
>


Hint: Superposition principle.

Gerard