Current flows on the surface of a spherical shell with radius R and conductivity . The potential

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