Search for question
Question

\begin{aligned} &3.48 \text { For the vector field } \mathbf{E}=\hat{\mathbf{x}} x z-\hat{\mathbf{y}} y z^{2}-\hat{\mathbf{z}} x y, \text { verify the }\\ &\text { divergence theorem by computing } \end{aligned} (a)

the total outward flux flowing through the surface of a cube centered at the origin and with sides equal to 2 units each and parallel to the Cartesian axes, and \text { (b) the integral of } \nabla \cdot \mathbf{E} \text { over the cube's volume. }

Fig: 1

Fig: 2

Fig: 3