Three parallel-plate capacitors are separately connected to identical batteries. Capacitor 1 has a plate area \(A\) and a plate separation \(d\). Capacitor 2 has a plate area \(2 A\) and a plate separation \(d\). Capacitor 3 has a plate area \(A\) and a plate separation \(2 d\). Rank the three capacitors, largest first, based on

(a) capacitance, 

\((b)\) charge stored,

(c) electric field magnitude between the plates,

(d) energy stored, and

(e) energy density.