The general solution for the potential (spherical coordinates with azimuthal symmetry) is: V (r, 0) = Σ Air² + B₁₁P₁(cos 6) l=0 Consider a specific charge density o.(0) = k cos³ 0, where k is constant, that is glued over the surface of a spherical shell of radius R. Solve for the potential inside the sphere. Hint: Express the surface charge density as a linear combination of the Legendre polynomials.
The general solution for the potential (spherical coordinates with azimuthal symmetry) is: V (r, 0) = Σ Air² + B₁₁P₁(cos 6) l=0 Consider a specific charge density o.(0) = k cos³ 0, where k is constant, that is glued over the surface of a spherical shell of radius R. Solve for the potential inside the sphere. Hint: Express the surface charge density as a linear combination of the Legendre polynomials.
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Transcribed Image Text:The general solution for the potential (spherical coordinates with azimuthal symmetry) is:
+∞
ΣAir² + P₁(Cos 0)
B₁
pl+1
l=0
V(r, 0) =
Consider a specific charge density (0) = k cos³0, where k is constant, that is glued over the surface
of a spherical shell of radius R.
Solve for the potential inside the sphere.
Hint: Express the surface charge density as a linear combination of the Legendre polynomials.
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