The equivalent capacity between terminal A and $B$ is

The equivalent capacity between terminal A and $B$ is
  1. $\frac{\mathrm{C}}{4}$
  2. $\frac{3 \mathrm{C}}{4}$
  3. $\frac{\mathrm{C}}{3}$
  4. $\frac{4 \mathrm{C}}{3}$

Solution

$\begin{aligned} \frac{1}{C_5} & =\frac{1}{C}+\frac{1}{C}+\frac{1}{C} \\ \therefore \quad C_5 & =\frac{C}{3} \end{aligned}$ Now, $\mathrm{C}_5$ and $\mathrm{C}$ are connected in parallel, $\therefore \quad \mathrm{C}_{\text {net }}=\mathrm{C}_{\mathrm{s}}+\mathrm{C}=\frac{\mathrm{C}}{3}+\mathrm{C}=\frac{4 \mathrm{C}}{3}$

Asked in: MHT CET 2023 (12 May Shift 1)

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