Physics 4700/7700 Electricity & Magnetism
Fall 2013
N. Dietz
Homework Assignment # 1 ( due to Monday Sept 09, 2013 )
Problem 1 (Divergence): 20 points
Calculate the divergence of the following vector functions:
!
"
"
"
a)
A = x 2 ! x + 3 x z2 ! y - 2 x z
Physics 4700/7700 Electricity & Magnetism
Fall 2013
N. Dietz
Homework Assignment # 7 (due to Wednesday, October 30, 2013)
Problem 1 (Method of imaging): [ 20 points ]
Consider an isolated, conducted sphere of radius a, centered at the origin, with no net
Physics 4700/7700 Electricity & Magnetism
Fall 2013
N. Dietz
Homework Assignment # 6 (due to Wednesday, October 14, 2013)
Problem 1 (Uniqueness theorem): [ 20 points ]
Prove that the electrical field is uniquely determined when the charge density (r), is
Physics 4700/7700 Electricity & Magnetism
Fall 2013
N. Dietz
Homework Assignment # 5 (due to Wednesday, October 07, 2013)
Problem 1 (Electrical Potential): [ 30 points ]
The electrical potential of some configuration is given by the expression
!
e !" r
V(
Physics 4700/7700 Electricity & Magnetism
Fall 2014
N. Dietz
Homework Assignment # 4 (due to Monday, September 30, 2013)
Problem 1 (Coulombs Law): [ 40 points ]
a) Twelve equal charges, q, are situated at the corners of a regular 12-sided polygon (for
ins
Physics 4700/7700 Electricity & Magnetism
Fall 2013
N. Dietz
Solutions to Homework Assignment # 3
Problem 1 (30 points)
Problem 2 (30 points)
Physics 4700/7700 - Solutions for HW # 3
Fall 2013
N. Dietz
Problem 3: line integral (40 points)
courtesy of John
Physics 4700/7700 Electricity & Magnetism
Fall 2013
N. Dietz
Homework Assignment # 3 (due to Monday, September 23, 2013)
Problem 1 (more Delta functions): [ 30 points ]
Evaluate the following integral
! !2 3 ! 3
# r - b ! " (5 r) d r ,
V
!
"
"
where the v
Physics 4700/7700 Electricity & Magnetism
Fall 2013
N. Dietz
Homework Assignment # 2 (due to Monday, Sept. 16, 2013)
Problem 1 [ 30 points ] (more Integral theorems):
z
Test the Stokes theorem for the function:
!
"
"
"
v = (xy) x + (2yz) y + (3zx) z
for t