Capacitor PPP, filled with a dielectric material of relative permittivity εr\varepsilon_rεr, has circular plates of radius R R\,R separated by a distance ddd. The capacitance of this arrangement is CCC.
Capacitor Q Q\,Q is constructed using circular plates of radius 4R 4R\,4R separated by a distance 3d3d3d, and contains a dielectric with a relative permittivity of εr8\displaystyle \frac{\varepsilon_r}{8}8εr.
What is the capacitance of capacitor QQQ?
16C\frac{1}{6} C61C
23C\frac{2}{3} C32C
83C\frac{8}{3} C38C
163C\frac{16}{3} C316C