Electrostatics Question 577

Question: Three capacitors of $ 2.0,\ 3.0 $ and $ 6.0\ \mu F $ are connected in series to a $ 10V $ source. The charge on the $ 3.0\mu F $ capacitor is [MP PMT 1996; RPMT 1999; Pb. PMT 2001]

Options:

A) $ 5\mu C $

B) $ 10\mu C $

C) $ 12\mu C $

D) $ 15\mu C $

Show Answer

Answer:

Correct Answer: B

Solution:

Net capacitance $ =\frac{1}{( \frac{1}{2}+\frac{1}{3}+\frac{1}{6} )}=1\mu F $

Total charge $ =CV=1\mu F\times 10V=10\mu C $

Total charge on every capacitor in series system is same.

So charge on 3 mF is 10 mC.



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