Electrostatics Question 603

Question: Three capacitors of capacitance $ 3\mu F,10\mu F $ and $ 15\mu F $ are connected in series to a voltage source of 100V. The charge on $ 15\mu F $ is [Pb. PMT 1999; AIIMS 2000; CPMT 2001]

Options:

A) $ 50\mu C $

B) $ 100\mu C $

C) $ 200\mu C $

D) $ 280\mu C $

Show Answer

Answer:

Correct Answer: C

Solution:

$ \frac{1}{C _{eq}}=\frac{1}{3}+\frac{1}{10}+\frac{1}{15}\Rightarrow C _{eq}=2\mu F $

Charge on each capacitor

$ Q={C _{\text{eq}}}\times V $

$ \Rightarrow 2\times 100=200\mu C $



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