Electrostatics Question 625
Question: A series combination of three capacitors of capacities $ 1\mu F,2\mu F $ and $ 8\mu F $ is connected to a battery of e.m.f. 13 volt. The potential difference across the plates of $ 2\mu F $ capacitor will be [MP PET 2003]
Options:
A) $ 1V $
B) $ 8V $
C) $ 4V $
D) $ \frac{13}{3}V $
Show Answer
Answer:
Correct Answer: C
Solution:
$ \frac{1}{C _{eq}}=\frac{1}{1}+\frac{1}{2}+\frac{1}{8}\Rightarrow C _{eq}=\frac{8}{13}\mu F $
Total charge $ Q=C _{eq}V=\frac{8}{13}\times 13=8\mu C $
Potential difference across 2mF capacitor $ =\frac{8}{2}=4V $
