Current flows on the surface of a spherical shell with radius R and conductivity The potential is specified on two rings as ( ) V cos n and ( ) V cos n Show that the rate at which Joule heat is generated between the two rings is The substitution y ln tan( 2) will be useful R 2 V2 cos a

Question: Current flows on the surface of a spherical shell with radius R and conductivity . The potential is specified on two rings as ( =

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

R= 2 V2 cos a

The substitution y = ln[tan(θ/2)] will be useful.

R= 2 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 full answer

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