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Separation of Variables: Find the potential b/w concentric hemispheres
Using V1 I was able to put Bn in terms of An, so the sum now looks like V(r,𝜃) = sum n=0 to infinity A_n (r^n - b^(2n+1)/(r^(n+1))) P_n(cos𝜃) I'm not sure how to proceed after writing out the new sum equal to V2, V3. How do I use the Legendre polynomials? for 𝜃 = pi/2 i know Pn(cos𝜃) leaves...- ligneox
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- Forum: Advanced Physics Homework Help
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Separation of Variables: Find the potential b/w concentric hemispheres
I'm having troubles setting up this problem. I know we are to use boundary conditions to determine An and Bn since in this case (a<r<b) neither can be set to 0. I don't know how the given potentials translate into boundary conditions, especially the V3 disk.- ligneox
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- Electrodynamics Legendre polynomials Potential Separation Separation of variables Variables
- Replies: 2
- Forum: Advanced Physics Homework Help