A capacitor initially has a charge of magnitude \(q\) on each plate. When a dielectric is inserted between the plates, the bound surface charge on the two dielectric surfaces facing the plates has a magnitude \(q / 3\). What is the ratio of the electric field magnitude in the empty capacitor to the electric field magnitude in the capacitor with the dielectric \((a)\) if the battery stays connected to the plates and \((b)\) if the battery is removed before the dielectric is inserted?