Question

Two capacitors of and are charged to and respectively. The plates of capacitor are connected as shown in the figure. An uncharged capacitor of capacity falls to the free end of the wire. Then :

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This question has multiple correct options
A

charge of capacitor is

B

charge on capacitor is

C

positive charge flows through A from right to left

D

positive charge flows through A from left to right

Hard

Solution

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Correct options are A) , B) and D)

Initially charge on and charge on  

When the uncharged capacitor of capacity   falls to the free end of the wire, it will make a closed loop circuit. Let  charge flows in the closed loop in clockwise direction. Then final charges on different capacitors are as shown in figure.

Applying  Kirchhoff's law for the loop,


multiplying by 30 both sides,

or

Thus, positive charge flow through A from left to right.

charge on becomes  

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