A network of four capacitors of capacity equal to C 1 = C, C 2 = 2C, C 3 = 3C and C 4 = 4C are connected to a battery as shown in the figure. The ratio of the charges on C 2 an C 4 is:
Text Solution
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Charge on a capacitor is the product of capacitance and potential difference across it.
The charge flowing through C 4 is
q 4 = C 4 × V = 4 CV
The series combination of C 1 , C 2 and C 3 gives
= 
⇒ C' = 
Now, C' and C 4 form parallel combination giving
C'' = C' + C 4
= 
Net charge q = C’’ V
= 
CV
Total charge flowing through C 1 , C 2 , C 3 will be
Q' = q – q4
= 
Since, C 1 , C 2 and C 3 are in series combination hence, charge flowing through these will be same.
q 2 = q 1 = q 3 = q' = 
Thus, 
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