Connecting capacitors in series increases the overall capacitance. The total capacitance is calculated by adding the inverse of each individual capacitor's capacitance. This is known as the reciprocal rule.
The voltage across each capacitor in a series connection is equal to the total voltage of the battery. This is because capacitors in series share the same charge, and the total voltage is divided among them.
Yes, a battery connected to capacitors in series can be charged. Each capacitor will receive the same charge, resulting in an overall increase in the potential difference across the capacitors.
The energy stored in a series connection of capacitors is less than a single capacitor with the same capacitance. This is because the total capacitance in a series connection is less than the individual capacitance of each capacitor.
If a capacitor in a series connection is disconnected, the overall capacitance will decrease and the voltage across the remaining capacitors will increase. This can lead to damage or failure of the remaining capacitors, as they were not designed to withstand higher voltages.