Electrostatics Question 585
Question: The combined capacity of the parallel combination of two capacitors is four times their combined capacity when connected in series. This means that [EAMCET 1994]
Options:
A) Their capacities are equal
B) Their capacities are $ 1\mu F $ and $ 2\mu F $
C) Their capacities are $ 0.5\mu F $ and $ 1\mu F $
D) Their capacities are infinite
Show Answer
Answer:
Correct Answer: A
Solution:
$ C _{p}=4C _{s} $
therefore $ (C _{1}+C _{2})=4\frac{C _{1}C _{2}}{(C _{1}+C _{2})} $
therefore $ {{(C _{1}-C _{2})}^{2}}=0 $
therefore $ C _{1}=C _{2} $
