(8%) Problem 10: A collection of four charges and four Gaussian surfaces are shown in the figure. The charges have
values:
$q_1 = +6.11 \text{ nC}$
$q_2 = -6.11 \text{ nC}$
$q_3 = +11.2 \text{ nC}$
$q_4 = -21.8 \text{ nC}$
The dashed lines represent the intersection of the closed three-dimensional surfaces with the plane of the image. If a
charge is shown within a dashed curve, then it is contained with the corresponding surface.
25% Part (a) What is the electric flux, in newton squared meters per coulomb, through the first closed surface, $S_1$?
25% Part (b) What is the electric flux, in newton squared meters per coulomb, through the second closed surface, $S_2$?
25% Part (c) What is the electric flux, in newton squared meters per coulomb, through the third closed surface, $S_3$?
25% Part (d) What is the electric flux, in newton squared meters per coulomb, through the fourth closed surface, $S_4$?