Assigned: THU 27 AUG 09
THU 03 SEP 09
Problem 1. Boas Problem #1, Ch.10.2, page 501.
Problem 2. Boas Problem #3, Ch.10.2, page 501.
Problem 3. Boas Problem #4, Ch.10.2, page 502.
Problem 4. Boas Problem #5, Ch.10.2, page 502.
Problem 5. Boas Problem #7, Ch.10.2, page 502.
Problem 6. In the hand
out (also in the NRL
Plasma Formulary), use the dyadic definition of a second rank
tensor, Eq.(17), and its divergence, Eq.(18), to prove the tensor
dyadic identities of Eqs. (19), (20), and (26). [For Eq.(26), note that
I is the unit second rank
which can be written as a 3-by-3 matix with ones on the diagonal and
zeros off the diagonal.] Finally use the ordinary vector form of
Gauss's Law, Eq.(28), to prove the tensor dyadic form of Gauss's Law,