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Question

Physics Question on Combination of capacitors

Two identical capacitors are first connected in series and then in parallel. The ratio of equivalent capacitance is

A

1:11:1

B

1:21:2

C

1:31:3

D

1:41:4

Answer

1:41:4

Explanation

Solution

Capacitor in series 1Cs=1C+1C=2C\frac{1}{C_{s}}=\frac{1}{C}+\frac{1}{C}=\frac{2}{C}
⇒Cs=C2\Rightarrow C_{s}=\frac{C}{2} Capacitor in parallel
Cp=C+C=2CC_{p}=C+C=2 C
∴CgCp=C2×2C\therefore \frac{C_{g}}{C_{p}}=\frac{C}{2 \times 2 C}
=14=\frac{1}{4}