Current flows on the surface of a spherical shell with radius R and conductivity . The potential
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Current flows on the surface of a spherical shell with radius R and conductivity σ. The potential is specified on two rings as ϕ(θ = α) = V cos nφ and ϕ(θ = π − α) = −V cos nφ. Show that the rate at which Joule heat is generated between the two rings is
The substitution y = ln[tan(θ/2)] will be useful.
Transcribed Image Text:
R= 2πησ V2 cos a
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In spherical coordinates Laplaces equation on the shell is ay 1 02 20 1 sin 0 20 The general solutio...View the full answer
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