Some physical situations are equivalent in the sense that they follow the same mathematical structure. This is the case

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Some Physical Situations Are Equivalent In The Sense That They Follow The Same Mathematical Structure This Is The Case 1 (77.87 KiB) Viewed 14 times

Some physical situations are equivalent in the sense that they follow the same mathematical structure. This is the case in problems where the distribution of charge/polarization/magnetization is uniform (i.e. constant over a volume V that can have any shape). a) Recall the integral equations for the (i) electric field E in terms of charge density p, (ii) electric potential o in terms of polarization P, (iii) vector potential A in terms of magnetization M. b) Show that for p, P and M uniform, the definitions above all depend only on the integral デーデ! Ï(F) = √ √ 8²³7'7 「デーデリア where the integration is done over the volume V where the respetive quantity is constant. Use this to compute for a sphere of radius R (i) the electric field E in terms of charge density p, (ii) the electric potential o in terms of polarization P, (iii) the vector potential A in terms of magnetization M. Hint: b) Use results from previous exercises.