What Is the Net Electric Flux Through Each Closed Surface?

[yaro99]

Homework Statement

The three small spheres shown in the figure below carry charges q1 = 4.30 nC, q2 = -7.70 nC, and q3 = 3.40 nC.

Find the net electric flux through each of the following closed surfaces shown in cross section in the figure.

Homework Equations

\Phi_E=\frac{Q_{encl}}{\epsilon_0}

The Attempt at a Solution

Using the above equation, I got the right answers for S1 through S4, but I'm getting the wrong answer for S5:
\Phi_E=\frac{Q_{encl}}{\epsilon_0}= \frac{4.30-7.70+3.40}{\epsilon_0}= \frac{0}{\epsilon_0}=0

 

[rude man]

I think your answer is correct.