Physics - Capacitor Question with Solution | TestHub

An isolated spherical capacitor has charge +Q on its inner conductor (radius ${\mathrm{r}}_{\mathrm{a}}$ ) and charge -Q on its outer conductor (radius ${\mathrm{r}}_{\mathrm{b}}$ ). Half of the volume between the two conductors is then filled with a liquid dielectric of constant K, as shown in cross-section in Fig.

The capacitance of the half-filled capacitor between the inner and outer conductors is