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 $
