I am given a vector field associated with a square area of a certain side, lets call this side dx, centered on the x-axis at a certain point, say x = x1. The sides of this cross sectional square are parallel to the axis of y and z. I have to compute the flux of this vector field, or rather, the vector surface integral.
Now I understand how to set up the equation, substitute the relevant variables, and such. What I'm not totally certain of is how to determine the upper and lower limits over the z and y paths.
Also, what does the unit vector, n, do?
ᶴ V n dS, where dS = dydz, and V and n are vectors.
The Attempt at a Solution
As I said, I have already set up the (double) integral according to the above formula, but I need to determine the limits of the definite integral.