C uniform external magnetic field Bext = -B, 2 b a gure 3: A spherical shell made of magnetically susceptible material,

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C Uniform External Magnetic Field Bext B 2 B A Gure 3 A Spherical Shell Made Of Magnetically Susceptible Material 1 (92.31 KiB) Viewed 83 times

C uniform external magnetic field Bext = -B, 2 b a gure 3: A spherical shell made of magnetically susceptible material, placed in a uniform external magnetic field. (a) (5 points) Consider the auxiliary field H(r). Explain why in this problem it is possible to introduce a single scalar potential function W(r) which satisfies H = -VW. (b) (5 points) Write down the equation W satisfies in each of the three regions: r <a, a <r<b, and r > b. (c) (10 points) At each of the two surfaces, r = a and r = b, write down a set of two appropriate boundary conditions, one for the value of W itself, and another for its normal derivative.