The resultant capacity between points \(\mathrm{A}\) and \(\mathrm{B}\) in the given circuit is

\(\mathrm{C}_1\) and \(\mathrm{C}_2\) are in parallel, their equivalent capacitance \(\mathrm{C}_7=2 \mathrm{C}\) \(\mathrm{C}_7\) and \(\mathrm{C}_3\) are in series, their equivalent capacitance is \(\mathrm{C}_8=\mathrm{C}\) \(\mathrm{C}_8\) and \(\mathrm{C}_4\) are in parallel, their equivalent capacitance is \(\mathrm{C}_9=2 \mathrm{C}\) \(\mathrm{C}_9\) and \(\mathrm{C}_5\) are in series, their equivalent capacitance \(\mathrm{C}_{10}=\mathrm{C}\) \(\mathrm{C}_{10}\) and \(\mathrm{C}_6\) are in parallel, their equivalent capacitance is \(3 \mathrm{C}\) Hence equivalent capacitance between \(\mathrm{A}\) and \(\mathrm{B}\) is \(3 \mathrm{C}\)