Time taken for magnetic field to permeate a spherical volume

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To estimate the time taken for a magnetic field to permeate a spherical volume of 3.0 m radius in a stationary plasma with electrical conductivity of 1.00 x 10^8 Ω-1 m-1, the diffusion and convection equations can be applied with the assumption that U=0. The discussion highlights the initial struggle to approach the problem, indicating a need for guidance. Ultimately, the original poster believes they have found a solution. The focus is on the application of relevant equations to determine the time frame for magnetic field penetration. This analysis is crucial for understanding magnetic field dynamics in conductive materials.
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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.
 
Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...
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