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Multipole Expansion of a Thin Rod: How to Derive the Potential?
thank you for your comment. the question is wrong, I informed today.- sitkican
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- Forum: Advanced Physics Homework Help
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Multipole Expansion of a Thin Rod: How to Derive the Potential?
Homework Statement Consider a very thin rod lying on the z axis from z = −L/2 to z = L/2. It carries a uniform charge density λ. Show that away from the rod, at the point r (r >>L), the potential can be written as V (r, θ) = (2Lλ/4πε0)(1/L)[ 1 + 1/3(L/2r)2P2(cos θ) + 1/3(L/2r)4 P4(cos θ) + · ·...- sitkican
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- Electrostatic Expansion Legendre polynomials Multipole Multipole expansion Rod
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- Forum: Advanced Physics Homework Help