Problem 3.101

Find the capacitance of an isolated ball-shaped conductor of radius \(R_{1}\) surrounded by an adjacent concentric layer of dielectric with permittivity \(\varepsilon\) and outside radius \(R_{2}\).

C=\frac{4 \pi \varepsilon_{0} \varepsilon R_{1}}{1+(\varepsilon-1) R_{1} / R_{2}}

Electric Capacitance, Energy of an Electric Field