PHSX 531 Fall12 Midterm Exam 3 Your NAME _Score_
Happy Thanksgiving Holidays!
Due: 11/28 (W) please hand in your exam book right before the class.
This exam is open book /lecture notes/ previous homework pr
PHSX/EPHX 531 Homework #2 (Due 09/07)
1.3. INTEGRAL CALCULUS Calculate the line integral of the function 31
2.1 (20 points)
v = ! x 2
Evidently the totalthe origin to the this consistent wi
PHSX/EPHX 531 Homework #6 (Due 10/19/12)
6.1 (30 points) Separation of Variables -
The potential on the surface of a sphere (radius R) is given by V=V0 cos(2).
PHSX/EPHX 531 Homework #5 (Due 10/12/12)
5.1 (10 points) Read the Griffiths Chapter 3.2 The Method of Image from 3.2.1 to 3.2.3.
Then work on Griffiths Problem 3.6.
5.2 (45 points) A
Sincev x B points upward, and that is also the direction of the force, q must be positive. To find R, in
terms of a and d, use the pythagorean theorem:
(R - d)2 + a2 = R2 =? R2
2Rd + d2 + a2 = R2 =? R =
a2 + d2
PHSX/EPHX 531 Homew
cfw_ - cjJ,
Problem right-hand-rule, the field points in the -y direction for z > 0, and in the +y di.rection for z < O.
By the 5.14
At z = 0, B = O. Use the amperian loop shown:
By the right-hand-rule, the field points in t
PHSX 531 (make-up) Takehome Midterm Exam Score:
N me: -
You have to turn this in on Monday (10/01) before class.
The total score is undefined, open book/lecture notes but NO Collaborations!
Please show all your work and explain your
S ince the cross product of two vectors is itself a vector, it can be dotted or crossed with a
third vector to form a triple product.
(i) Scalar triple product: A (B x q. Geometrically, IA . (B x ql is the volume
of the parallelepiped generated by A, B, a
Infinitesimal Volume and Areas
In Cartesian coordinates
d! = dx dy dz
In spherical coordinates
d! = dlr dl" dl# = r sin " dr d" d#
Innitesimal area: depends on the shape of the integra8ng area
Surface Integrals: Flux
The innitesimal bit of area: a vector
magnitude: da, the area
v ( ri )
direc:on: normal to the area
if the surface is closed: outward is posi:ve
if the surface is open: dene
ordinary and par0al deriva0ves
vx v y vz
x y z
sum and product rules ! " v = ( #vz $ #vy ) x + (
Scalar Triple Product
A (B C)
Meaning: volume of the parallelepiped formed by the three vector
You can rotate the vectors without changing the value:
A ( B C ) = B (C A) = C ( A B)
You can exchange the dot and the cr
PHSX531/EPHSX531: Electricity and Magnetism
HsinYing Chiu, Assistant Professor in Department of Physics and Astronomy
Oce: 1075 MaloD Hall
Oce hours: M&W, 2:003:30
Email: [email protected]
TA: Nardeep Kumar
Read Example 9.1, and work out Problem 9.3 (page 370).
An EM wave travels along z direction, with the electric field polarized along x direction.
The wavelength is 600 nm (red light). Write the function of this vector wave in the
complex notation. What is
Homework Suggestions: Chapter 8
Please work out these problems. You can give me your solutions at any time for
feedbacks. Although HW has no weight, be serious about the HW problems is very
important for you to learn the material.