Question: 2. V x H = 0 when there is no free current Jf = 0. In this case, one can introduce the magnetic scalar

2. V x H = 0 when there is no free current Jf = 0. In this case, one can introduce the "magnetic scalar potential", Vm, such that H = -Vm. Since VH = -VM, the magnetic scalar potential Vm satisfies the Poisson's equation, VVm equation. Consider a uniformly magnetized sphere of radius R with the magnetization M = M2. Here V M boundary conditions, find H and B inside (r < R) the sphere. V M. When V M = 0, Vm satisfies the Laplace O for r < R and r > R. Solving the Laplace equation for Vm with appropriate
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