A voltage difference V₀ causes a steady current to flow from the top conductor to the bottom conductor (in the sketch below) through an ohmic medium with conductivity σ. Find an approximate expression for the current I that flows into the hemispherical bump (radius R) portion of the lower conductor. Assume that d >> R.

A grounded spherical conductor in an external field E₀ acquires a surface charge density Σ = 3ϵ ₀E₀ cos θ where θ is the polar angle measured from Ê.

Transcribed Image Text:

d 0 p=Vo p=0