In the figure, V=9 V, C1= 10uF and C2= 20uF. Switch S is first connected to V un

Question

In the figure, V=9 V, C1= 10uF and C2= 20uF. Switch S is first connected to V until C1 is completely charges. Then switch S is removed from V and connected to C2. When equilibrium is reached, how much charge is left on C1? Reminder-the total charge cannot change.

In the figure, V=9 V, C1= 10uF and C2= 20uF. Switch S is first connected to V until C1 is completely charges. Then switch S is removed from V and connected to C2. When equilibrium is reached, how much charge is left on C1? Reminder-the total charge cannot change.

Explanation / Answer

When switch is attached to battery,

Charge on C1= C1*V=90 mewC

When switch is connected to C2,

Voltage across both should be equal,

Q1C1 = Q2C2

10Q1=20Q2

Q1=2Q2.............................(1)

Q1+Q2=90..........................(2)

On solving 1 and 2,

Q2= 30 mewC

Q1=60 mew C

Charge left on C1= 60 mewC

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