When two capacitors are connected in series, they share the same charge, which can be calculated based on the total voltage and their capacitances. In this case, a 3 microfarad and a 6 microfarad capacitor connected to a 10V battery will have a specific charge distribution. Once the battery is disconnected and the loose ends are connected, the potential difference across the capacitors will not be zero; instead, the charge will redistribute between them. This redistribution does not create a short circuit, but rather allows the capacitors to balance their voltages. Ultimately, the potential difference will stabilize at a value determined by the series configuration and the initial charge.