Find the equivalent capacitance between points a and $b$ for the group of capacitors connected as shown in FIGURE $1$ if $C_1=C_2=5\mathrm{.}00F,C_3=C_4=C_6=C_7=10\mathrm{.}00F$ and $C_5=2\mathrm{.}00F.[$Ans: $6\mathrm{.}04F$

FIGURE $1$