Question

Find the equivalent capacitance of the system shown in figure (31-E8) between the points a and b.

Answer 1

Capacitors C₁ and C₂ above and below ab are connected in series and in parallel with C₃.
Thus, the equivalent capacitor between a and b is given by

$$\begin{gathered} C_{\mathrm{eq}}=\left(\frac{C_1{C}_2}{C_1+C_2}+C_3+\frac{C_1{C}_2}{C_1+C_2}\right) \\ \Rightarrow C_{\mathrm{eq}}=C_3+\frac{2C_1{C}_2}{C_1+C_2} \end{gathered}$$