Four capacitors of equal capacity have an equivalent capacitance $\mathrm{C}_{1}$ when connected in series…

Four capacitors of equal capacity have an equivalent capacitance $\mathrm{C}_{1}$ when connected in series and an equivalent capacitance $\mathrm{C}_{2}$ when connected in parallel. The ratio $\frac{\mathrm{C}_{2}}{\mathrm{C}_{1}}$, is
  1. 4
  2. 12
  3. 16
  4. 8

Solution

Let capacitance of each capacitor is C. In series, equivalent capacitance $C_{1}=\frac{C}{4}$ In parallel, equivalent capacitance $\begin{aligned} \mathrm{C}_{2} &=4 \mathrm{C} \\ \therefore \frac{\mathrm{C}_{1}}{\mathrm{C}_{2}} &=\frac{1}{16} \end{aligned}$

Asked in: MHT CET 2020 (13 Oct Shift 1)

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