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April 20, 2014

Homework Help: phsics

Posted by lam on Thursday, October 4, 2012 at 3:36pm.

Two materials, for example silver and copper, of same cross section can be welded into a composite wire. When a voltage is applied across this wire, a stable current i whose value is determined by Ohm”¦s Law is formed. Since the wire has uniform cross section, the current densities in two different materials have to be the same. But their conductivities£m1 and£m2 of the two conductor types are different and thus the electric fields within each of the two conductors are different. According to Gauss”¦s Law, the change from one electric field to another has to be generated by some net charge accumulated at their interface. Show that this amount of charge is equal to
i/(4£k) * [1/£m2- 1/£m1]
assuming£m2>£m1

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