# Dielectrics in capacitors

In the above diagram, there are three capacitors P, Q and R with their respective distinct dielectric materials. The dielectric constant and the thickness of the dielectric material for P, Q and R are $$(2\kappa, d), (\kappa, 2d)$$ and $$(3\kappa, 3d),$$ respectively. Let $$C_P,$$ $$C_Q$$ and $$C_R$$ denote the electric capacities of the three capacitors, respectively, then what is the ratio $$C_P:C_Q:C_R?$$

The plate areas of the three capacitors are the same.

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