Phys 3310, HW #12, Due in class Wed Apr 10
Q1. B FIELD FROM CURRENTS Lets start by practicing writing down current densities:
A) i) A sphere (radius R, total charge Q uniformly distributed throughout the volume) is
spinning at angular velocity z about its
Phys 3310, HW #11, Due in class Wed Apr 3
Please read the Extra Credit question first! It may require planning on your part.
NOTE: Thursday Apr 4 is the second exam (7:30-9:15 PM) See our website for details. You
may bring BOTH sides of one page of paper
Phys 3310, HW #9, Due in class Wed Mar 13.
Q1. MULTIPOLES - point charges
You have four point charges. Their location and charges in Cartesian coordinates are:
A positive charge -2q located at (a,0,0), another charge -2q located at (-a,0,0), a 3rd charge
Phys 3310, HW #13, Due in class Wed Apr 17
Q1. AMPERE'S LAW: (A quicky!)
Suppose B in a region of space centered on the origin has cylindrical symmetry and is given by
B = B0 where B0 is a constant, and is the azimuthal direction in cylindrical coordinate
Phys 3310, HW #6, Due in class Wed Feb 20.
Q1. COAX CAPACITORS
A real coaxial cable (found in physics labs) has an inner conducting solid cylinder of
radius a (i.e. a wire!) and an outer conducting cylindrical shell (inner radius "b").
It is physically ea
Phys 3310, HW #10, Due in class Wed Mar 20 (extendable to Mar 22 if you need it!)
Q1. A point charge +Q is at the center of a spherical plastic shell (inner radius a, outer radius b)
The shell is a linear dielectric, with a dielectric constant r .
The she
PHYS 3310
Tutorial 8, Week 11
Part 1 Magnetic field of a current carrying wire
A thin wire carries a uniform current I. This current produces a magnetic field, B.
Up until now, youve always been told that magnetic fields loop around a currentcarrying wire
PHYS 3310
Tutorial 9, Week 12
Part 1 Sketching Vector Potential
!
One of Maxwells equations, ! " E = 0 , allowed us to define a scalar potential V,
!
where E = !"V . Similarly, another one of Maxwells equations allows us to
define the vector potential, A.
Phys 3310, HW #14, Due in class Wed Apr 24
Q1. COORDINATE FREE FORMULA
At the end of Ch 5, Griffiths gives a formula for the magnetic moment of a pure dipole which
points in the z direction, located at the origin:
m
B = 0 3 (2 cos r + sin ) (Eq 1)
4 r
He
Phys 3310, HW #15, Due in class Wed May 1
Q1. SURVEY: http:/tinyurl.com/CU-phys-SP13
You will get full credit on this homework problem for filling out this survey (URL above). We
obviously won't grade you in any way on your specific responses - your opini
Phys 3310, HW #7, Due in class Wed Feb 27.
Please read the Extra Credit question first! It may require planning on your part.
NOTE: Thursday Feb 28 is the first exam (7:30-9:15 PM) See our website for details. You
may bring one side of one page of paper w
Phys 3310, HW #3, Due in class Wed Jan 30. In general, we will try to grade homeworks
for clarity of explanation as well as for mere "correctness of final answer".
Q1. DELTA FUNCTIONS!
a) Calculate the following integrals, assuming c=2 in all parts!
In pa
Phys 3310, HW #2, Due in class Wed Jan 23. We grade homework for clarity of
explanation as well as mere "correctness of answer". (Lettered parts count roughly equally)
Q1. VECTOR CALCULUS PROOFS: Symbol manipulation!
Use the methods of Griffiths section 1
3310 HW#1
Due date (extended to) Friday Jan 18, start of class.
1
This first set is meant to be a review Im hoping its mostly straightforward for you.
If not, I strongly urge you to talk with me ASAP, we might need to help you catch up.
Future hw sets wil
Phys 3310, HW #4, Due in class Wed Feb 6. Each lettered subpart is worth ~the same.
Q1. NONUNIFORM SURFACE CHARGE
We typically consider cases in class where charge is distributed completely uniformly,
but it's not always that way - let's consider an insul
Phys 3310, HW #5, Due in class Wed Feb 13.
Q1. QUICKY.
The following problem is from the 2001 Physics GRE exam. Apparently, students were expected to solve
the problem in just a few minutes!
Two spherical, nonconducting, and very thin shells of uniformly
Phys 3310, HW #8, Due in class Wed Mar 6.
Q1. SEPARATION OF VARIABLES - CARTESIAN 3-D
You have a cubical box (sides all of length a) made of 6
z +a
metal plates which are insulated from each other.
The left wall is located at y=-a/2,the right wall is at y
PHYS 3310
Week 6
Part 1: Laplaces Equation and Separation of Variables
Within a very long, rectangular, hollow pipe, there are no electric charges. The
walls of this pipe are kept at a known voltage (they are known because in a lab,
you can control them).
Week 7
Part 1 Potential from a Line of Charge
A uniform line charge density
extends from the origin to the point
(0,0,-d).
i. Using the script-r technique from
earlier in the course, find an
expression for the potential
anywhere along the z-axis, V(z).
R
PHYS 3310
Week 8
Part 1 Polarization and Bound Charge
A slab of plastic is placed within a charged capacitor. Before inserting the plastic, there is a uniform electric field inside the capacitor, Eext. We will explore the properties of a dielectric to eve
Phys 3310, HW #13, Due in class Wed Apr 30
Q1. SURVEY: www.colorado.edu/sei/surveys/Spring08/Clicker_Phys3310_sp08-post.html
You will get full credit (10 pts) on this homework problem just for filling out this survey (URL
above) about the course. We obvio
PHYS 3310
Week 3
Part 1 Intelligently Designing an Electric Field
i. Create a simple (but not trivial) Electric field. Your E-field must have an x, y, and z ! component, a non-zero divergence ( ! E " 0 ), and must also vanish at infinity.
ii. Sketch your
Phys 3310, HW #11, Due in class Wed Apr 16 Q1. VECTOR POTENTIAL I A) A long (infinite) wire (cylindrical conductor, radius R, whose axis coincides with the z axis) r carries a uniformly distributed current I0 in the +z direction. Assuming " A = 0 (the "Co
Phys 3310, HW #2, Due in class Wed Jan 23. In general, we will try to grade homeworks for clarity of explanation as well as for mere "correctness of final answer". Lettered parts count roughly equally) Q1. VECTOR CALCULUS PROOFS Griffiths 1.60, parts a an
3310 HW#1 This version is a regular homework. BE SURE to complete the green version first, entirely, before starting on this Physics 3310: First Homework.
1
YOUR NAME (neatly!)_ IMPORTANT, PLEASE READ THIS FIRST! I'd like you to do this homework twice.
Yo