Determine the equivalent capacitance between A and B for the

Determine the equivalent capacitance between A and B for the group of capacitors in the drawing. Let C1 = 9

Solution

24uF , 8uF and C1 are in series

1/ C_ser = 1/24 + 1/8 + 1/9 = 0.27777

C_ser = 3.6uF is parallel to 4uF

so C_Par = 3.6+4 = 7.6uF

C_par is series with 5uF and C2 =6 uF

so

1/C_ab = 1/7.6 + 1/5 + 1/6 = 0.49825

C_ab = 2.007 uF