Electrostatics Question 601
Question: Two capacitors of $ 10\mu F $ and $ 20\mu F $ are connected in series with a 30V battery. The charge on the capacitors will be, respectively [AMU (Engg.) 2001]
Options:
A) 100$ \mu C $ , 200$ \mu C $
B) 200$ \mu C $ , 100 $ \mu C $
C) 100$ \mu C $ , 100$ \mu C $
D) 200$ \mu C $ , 200$ \mu C $
Show Answer
Answer:
Correct Answer: D
Solution:
In series combination of capacitor charge on each capacitor is same
$ Q _{1}=Q _{2}=Q=C _{eq}V $
$ C _{eq}V=( \frac{10\times 20}{10+20} )\times 30 $
$ =\frac{200}{30}\times 30=200\mu C $
