Thursday, December 16, 2010

1-D Electric Field

If you are interested in this collaboration, then read this note.

Many years ago John Kogut posted a preprint at SLAC. Take a look at his book: A Gentle Introduction to General Relativity.

The idea is very simple, really. Conservation of charge decrees that the flux out of a bounded region counts the electric charges inside. We have a counting problem.

In one dimension, the region where the sources reside is one dimensional (1-D). The boundaries through which the flux passes are zero dimensional!, i.e., points. Therefore the divergence of the field , is equal to the source. The equation is this:



The meaning is this:

The difference between flux to the right and to the left is equal to the sources in between. The problem now is to implement  in Google Docs.

If you see the Spreadsheet I posted below I simply used:

IF(row( 4)=row(4),1,0)

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