Two capacitors of capacity 6 μF and 3 μF are charged to 100 V and 50 V separately and connected as shown in figure. Now all the three switches S1, S2, and S3 are closed. Which plate(s) form an isolated system?Charges on 6 μF and 3 μF capacitors in steady state will beLet q1, q2, and q3 be the magnitudes of charges flown from switches S1, S2, and S3 after they are closed. Then

Plates 2 and 3 are joined together and they are neither connected to any of the terminals of the battery nor to any other source of charge. So, they jointly form an isolated system.Before closing the switches, charges are shown in figure. After closing the switch, let q charge goes from battery. Then charge on each will increase by q.Applying Kirchhoff's voltage law, we get200−600+q6−150+q3=0or q=100 μCSo charge on 6 μF capacitor will be 700 μC and 3 μF capacitor will be 250 μC.From all the switches 100 μC of charge will flow. Plates 2 and 3 are joined together and they are neither connected to any of the terminals of the battery nor to any other source of charge. So, they jointly form an isolated system.Before closing the switches, charges are shown in figure. After closing the switch, let q charge goes from battery. Then charge on each will increase by q. Applying Kirchhoff's voltage law, we get200−600+q6−150+q3=0or q=100 μCSo charge on 6 μF capacitor will be 700 μC and 3 μF capacitor will be 250 μC.From all the switches 100 μC of charge will flow. Plates 2 and 3 are joined together and they are neither connected to any of the terminals of the battery nor to any other source of charge. So, they jointly form an isolated system.Before closing the switches, charges are shown in figure. After closing the switch, let q charge goes from battery. Then charge on each will increase by q.Applying Kirchhoff's voltage law, we get200−600+q6−150+q3=0or q=100 μCSo charge on 6 μF capacitor will be 700 μC and 3 μF capacitor will be 250 μC.From all the switches 100 μC of charge will flow.