Time taken for magnetic field to permeate a spherical volume

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SUMMARY

The time taken for a magnetic field to permeate a spherical volume of 3.0 m radius with a stationary plasma electrical conductivity of 1.00 x 108 Ω-1 m-1 can be estimated using the diffusion equation. The user successfully applied the diffusion and convection equation, setting U=0, to arrive at a solution. This approach effectively addresses the problem of magnetic field penetration in conductive materials.

PREREQUISITES
  • Understanding of electromagnetic theory
  • Familiarity with the diffusion equation
  • Knowledge of plasma physics
  • Basic concepts of electrical conductivity
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  • Study the diffusion equation in electromagnetic contexts
  • Research the properties of plasma and its behavior in magnetic fields
  • Explore the mathematical modeling of magnetic field penetration
  • Learn about the effects of electrical conductivity on magnetic field dynamics
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Physicists, electrical engineers, and students studying electromagnetism and plasma physics will benefit from this discussion.

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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.
 

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