A non-ohmic circuit element has a voltage-current relationship given by \(V_D = C I^3\), where \(C\) is a positive constant with appropriate units and \(I\) is the electric current through the element. The element is connected in series with a resistor of resistance \(R\) across an ideal battery of electromotive force \(\mathcal{E}_0\). When the circuit carries a steady current \(I_0\), which of the following pairs of expressions correctly represents the total thermal power dissipated in the circuit, \(P_{\text{total}}\), and the ratio of the power dissipated in the non-ohmic element to the power dissipated in the resistor, \(\dfrac{P_D}{P_R}\)?