Suppose an AC generator with $V(t)=150sin100t$ Volts is connected to a series RLC circuit with $R=40\mathrm{.}0,L=80\mathrm{.}0mH$ and $C=50\mathrm{.}0F$ as shown in Figure.

$($a$)$ Calculate VRo, Vlo and Vco $($the maximum of the voltage drops across each circuit element$).$

$($b$)$ Calculate the maximum potential difference across the inductor and the capacitor between points b and d shown in Figure.