Spherical Capacitor with Dielectric · Irodov #3.101

Physics · capacitance

Problem

A spherical capacitor has inner radius

a = 5.0\;\text{cm}

and outer radius

b = 10\;\text{cm}

. The space between is half-filled with a dielectric of permittivity

\kappa = 4.0

(one hemisphere dielectric, one hemisphere vacuum). Find the capacitance.