Identical capacitors cannot all be charged simultaneously when connected to a battery due to the lack of a complete circuit path. When a battery is connected to terminals A and C, for instance, the capacitors connected to nodes B and D will not charge because they maintain the same voltage as A and C. This results in no current flow to those capacitors, preventing them from charging. The circuit's configuration ensures that once current reaches a capacitor, it stops, leaving some capacitors uncharged. Therefore, there is no effective way to charge all capacitors in this setup.