COMEDK · Physics · 18. Capacitance
Three identical capacitors are first connected in series and then in parallel. The ratio of effective capacitances in the two cases is
- A \(9: 1\)
- B \(3: 1\)
- C \(1: 3\)
- D \(1: 9\)
Answer & Solution
Correct Answer
(D) \(1: 9\)
Step-by-step Solution
Detailed explanation
The equivalent capacitance of three capacitors connected in series is given by \(\frac{1}{C_{s}}=\frac{1}{C_{1}}+\frac{1}{C_{2}}+\frac{1}{C_{3}}\) Given, \(C_{1}=C_{2}=C_{3}=C\) \(\frac{1}{C_{s}}=\frac{3}{C} \text { or } C_{s}=\frac{C}{3}\) Similarly, for parallel combination,…
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