Consider an assembly of three conducting concentric spherical shells of radii a, b and c as shown in figure. Find the capacitance of the assembly between the points A and B.

These three metallic hollow spheres form two spherical capacitors, which are connected in series.


Solving them individually, for 1) and 2)


For a spherical capacitor formed by two spheres of radii ro > ri is given by


C =


Where,


C: Capacitance


ri: inner radius


ro: outer radius


k: relative permittivity or dielectric constant


: permittivity of space


Similarly,



And




Now, the capacitors are connected in series, net capacitance for series connected capacitors is given by –






1