Phys6103: Homework set #1
1 Gauss' Law Practice Use Gauss' law to find the electric field when the charge density is (a) (x) = 0 exp - x2 . Express the answer in Cartesian coordinates. (b) (x, y) = 0 exp - (c) (x, y, z) = 0 exp - 2 x2 + y 2 . Express th
Phys6103: Homework set #2
Evaluate the following expressions which exploit the Einstein summation convention.
Use the Levi-Civit` symbol to prove that
(a) (A B) (C
Phys6103: Homework set #4
1. The Self-Capacitance of a Non-Spherical Shell
The segment from z = c to z = b on the z -axis carries a charge per unit length
(z ) = 0
c z b.
The point z = a in the gure below lies on an equipotential surface (dashed
Solutions to Problems
P. Saltsidis, additions by B. Brinne
Most of the problems presented here are taken from the book
Sakurai, J. J., Modern Quantum Mechanics, Reading, MA: Addison-Wesley,