(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

At time t = 0 a charge distribution [itex]\rho[/itex](r) exists within an idealized homogeneous conductor whose permitivity [itex]\epsilon[/itex] and conductivity [itex]\sigma[/itex] are constant. Obtain [itex]\rho[/itex](r,t) for subsequent times.

2. Relevant equations

Maxwell's equations = Gauss' Equation + Ohm's law in Differential form

3. The attempt at a solution

By using Gauss' law I can find how an electric field depend from radius. After it I can use Ohm's law to find current density throught the surface of a sphere of radius R. Then I can find quantity of charges that leave the sphere of radius R per unit time. See attachment.

q - the number of the charge coming out of the sphere of radius r.

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# Charge distribution in a conducting sphere

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