EE 3213 Electromagnetics ECE Summer Online Class The University Of Texas At San Antonio HOMEWORK 2

EE 3213 

HW2 

1) Roughly hand draw the following vector fields: v=[2x 0 0], m=[2 0 0] and h=[2x 2y 0]. 

2) Calculate the divergence and curl of these vector fields. Comment about the physical meaning of the results. 

3) Let a field vector be F=[xy z x] . Calculate the flux thru the surface x=1, 0<y<1 and 1<z<3.

 4) Calculate the gradient of F=6xy+2xz+z. 

5) Calculate the divergence of the vector field you obtained at question 3.

 6) Calculate the curl of the vector field you obtained at question 3.

 7) Apply and verify the divergence thm for the vector field A=[ x   y   z]. (You have to set up a closed surface, I suggest a cube) 

8) Apply and verify the stokes thm for the vector field F=[-y    x   0]. (You have to set up a closed path (loop), I suggest a square on the xy plane)