A non-linear circuit element and a resistor of resistance \(R = 5.0 \text{ }\Omega\) are connected in series across an ideal battery of electromotive force \(\mathcal{E} = 12 \text{ V}\). For positive potential differences, the current \(I\) through the non-linear element is related to the potential difference \(V_D\) across it by \(I = b V_D^2\), where \(b = 0.50 \text{ A/V}^2\). What is the electrical power dissipated by the non-linear element?