Time taken for magnetic field to permeate a spherical volume

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1. For a stationary plasma of electrical conductivity 1.00 x108 Ω-1 m-1 estimate the time taken for a magnetic field to permeate a spherical volume of 3.0 m radius.

I have been looking at the question for some time now and I am struggling with where to begin. Any help would be much appreciated.
 
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It's ok, think I have solved it. Using the diffusion and convection equation and setting U=0.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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