A network of four 10μF capacitors is connected to a 500V supply, as shown in fig. Determine (a) the equivalent capacitance of the network and (b) the charge on each capacitor.(Note, the charge on a capacitor is the charge on the place with higher potential, equal and opposite to the charge on the plate with lower potential).
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Solution
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C1=C2=C3=C4=10μF
C1,C2 and C3 are in series
So
1C′=1C1+1C2+1C3
⇒C′=103μF
CAD=Ceq=C′+C4 [∵ They are in parallel]
⇒Ceq=103+10=403μF
Charge on C4=10μF×500v=5×10−3C
Charge of C1,C2 and C3 will be same as they are in series
So charge on C1,C2 and C3
=C′×V=103μF×500=53×10−3C
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