Rutgers Physics 385 Electromagnetism I (Fall15/Gershtein)

Homework 3 - Due September 24, 2015 in class

1) Calculate divergence of the following vector functions:
(a)

(b)

(c)

2) Calculate curl of the functions in the previous problem

3) Prove that divergence of curl is always zero. Verify with function (b) from problem 1)

4) Test Stokes' theorem:

using the function (b) from problem 1) and the triangular surface in yz plane, with coordinates (0,0,0), (0,2,0), (0,0,2)