Question

Two similar capacitors of capacity C each are first connected in series and then in parallel. The ratio of the net capacity obtained in the two cases is * (a) 4 (b) 1/4 (c) 1 (d) 2​

Answer 1

Answer:

2 is the answer

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Answer 2

Given : Two similar capacitors of capacity C each are first connected in series and then in parallel.

To Find : The ratio of the net capacity obtained in the two cases is

(a) 4

(b) 1/4

(c) 1

(d) 2​

Solution:

Two similar capacitors of capacity C  

connected in series

$\dfrac{1}{C_{\text{series}}} = \dfrac{1}{C} +\dfrac{1}{C}$

$\implies C_{\text{series}}=\dfrac{C}{2}$

connected in parallel

$C_{\text{parallel}}=C+C\\\implies C_{\text{parallel}}=2C$

$\dfrac{C_{\text{series}}}{C_{\text{parallel}}} =\dfrac{ \frac{C}{2} }{2C}$

$\implies \dfrac{C_{\text{series}}}{C_{\text{parallel}}} =\dfrac{ 1}{4}$

 

1/4  is the correct answer

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