Phys 225 - Homework 10 Solutions
Problem 1: Div and Curl in Cylindrical Coordinates
sh is
ar stu
ed d
vi y re
aC s
o
ou urc
rs e
eH w
er as
o.
co
m
(a) Step 1: write down the nine terms of divergence in Cartesian coordinates,
using the distributive proper

Phys 225 - Homework 12 Solutions
Problem 1: Parabolic Mirror
(a) Revolving the line z = x2 /a around the z-axis mathematically corresponds
to replacing x with s. We parametrize the surface in cylindrical coordinates and
choose s and as our sweeping parame

Phys 225 - Homework 13 Solutions
Problem 1: A Novel AC Circuit
1
1
1
L +
L + RXC = iXL + R(iXC )
Z = X
+
= X
C
C
R X
R iXC
R+X
2
2
RXC iR XC
= iXL +
(multiplied top and bottom by R + iXC )
XC2 + R2
R2 XC
RXC2
+ XL 2
i.
=
XC2 + R2
XC + R2
sh is
ar stu
ed

Phys 225 - Homework 9 Solutions
Problem 1: Vector Magnitudes Galore
(b)
is
ar stu
ed d
vi y re
aC s
o
ou urc
rs e
eH w
er as
o.
co
m
(a) Proof of the Law of Cosines, from the dot-products geometric definition and
its distributive property:
q
~ + B|
~ =
~

Phys 225 - Homework 11 Solutions
Problem 1: Div, Curl, and Maxwell in cylindrical
sh is
ar stu
ed d
vi y re
aC s
o
ou urc
rs e
eH w
er as
o.
co
m
~ E.
~ Lets compute
(a) To find the volume charge density we need to compute
first out
~ E
~ out = 0 1 (s )