Two concentric spherical shells of radii R1 and R2, with R1<R2, are fixed with the following values of the electrostatic potential: φ(R1, θ) = φ1cosθ and φ(R2, θ) = φ2 where φ1 and φ2 are constants and θ is the usual polar spherical angle. Find the electrostatic potential for: a) r<R1, inside the inner shell b) r>R2, outside the outer shell c) R1<r<R2, between the two shells d) Find the surface charge density σ(θ) on each of the two shells.
Two concentric spherical shells of radii R1 and R2, with R1<R2, are fixed with the following values of the electrostatic potential: φ(R1, θ) = φ1cosθ and φ(R2, θ) = φ2 where φ1 and φ2 are constants and θ is the usual polar spherical angle. Find the electrostatic potential for: a) r<R1, inside the inner shell b) r>R2, outside the outer shell c) R1<r<R2, between the two shells d) Find the surface charge density σ(θ) on each of the two shells.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Two concentric spherical shells of radii R1 and R2, with R1<R2, are fixed with the following values of the electrostatic potential:
φ(R1, θ) = φ1cosθ and φ(R2, θ) = φ2
where φ1 and φ2 are constants and θ is the usual polar spherical angle. Find the electrostatic potential for:
a) r<R1, inside the inner shell
b) r>R2, outside the outer shell
c) R1<r<R2, between the two shells
d) Find the surface charge density σ(θ) on each of the two shells.
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