Tricky circuit calculating the total capacitance

[need_aca_help]

Homework Statement

Calculate the equivalent capacitance between points a and b in the figure below (C1 = 4.10 μC and C2 = 1.60 μC). Notice that this system is not a simple series or parallel combination.

Homework Equations

Series:
C_T = [1/c₁ + 1/c₂...]^-1

Parallel:
C_T = C₁ + C₂...

The Attempt at a Solution

I don't know where to tackle this problem...

 

[SammyS]

Homework Statement

Calculate the equivalent capacitance between points a and b in the figure below (C1 = 4.10 μC and C2 = 1.60 μC). Notice that this system is not a simple series or parallel combination.

Homework Equations

Series:
C_T = [1/c₁ + 1/c₂...]^-1

Parallel:
C_T = C₁ + C₂...

The Attempt at a Solution

I don't know where to tackle this problem...

As the problem states, this is not a combination of series and parallel pieces..

Use symmetry.

 

[need_aca_help]

As the problem states, this is not a combination of series and parallel pieces..

Use symmetry.

Symmetry...? Not sure how to do that...

 

[rude man]

OK, hint: take out the 8 uF capacitor, apply any voltage to a and b, what is the voltage between the two C1's and what is the voltage between the two C2's?