Let the radius of the inner sphere be =1????and the radius of the outer sphere???? =3???? from 2 interconnected spherical conductors whose centers are origin in empty space.
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Let the relative dielectric constant of the material between the two spherical regions be ???????? = 4. The voltage of the inner spherical conductive surface is 0 volts and the voltage of the outer spherical conductive surface is 50 volts. ( ????(???? = 1????) = 0 ???? and ????(???? = 3????) = 50 ???? )
a. Find the potential function of the region between the conductive surfaces using Laplace's equation.
b. Express the electric field in the whole space using the answer you found in part A.
c. Find the charge densities on the inner and outer spherical surfaces.