Problem 3.110

Find the capacitance of a system of two identical metal balls of radius \(a\) if the distance between their centres is equal to \(b\). with \(b \gg a\). The system is located in a uniform dielectric with permittivity \(\varepsilon\).

Reveal Answer

C \approx 2 \pi \varepsilon_{0} \varepsilon a . \text { Instruction. When } b \gg a, \text { the charges can be assumed to be distributed practically uniformly over the surfaces of the balls. }

Electric Capacitance, Energy of an Electric Field