Final answer:
When capacitors are connected in series and disconnected from the line, the potential difference across the plates of each capacitor will be zero when they are reconnected.
Step-by-step explanation:
When capacitors are connected in series, the total capacitance (C) can be calculated using the formula:
1/C = 1/C1 + 1/C2.
In this case, C1 = 10 μF and C2 = 20 μF, so the total capacitance is:
1/C = 1/10 + 1/20
= 3/20.
Therefore, the total capacitance is 20/3 μF.
After disconnecting the capacitors and reconnecting them in series, the voltage across the plates of each capacitor will be the same.
Since no external voltage is applied, the potential difference across each capacitor will be zero.