For this project you will work in teams. The
team members are :
1st expression
(sum of Js)
2nd expression
(Is and Ks)
3rd expression
(Triple sum)
Team 1
Team 2
Team
3
Joe
Steven
Anton
Trenton
Bowen
Each team will solve
one part of problems 3-23 and 3-24. Team 1 will work on the
first expression (sum of J's),
team 2 will work on the second expression (with I's and K's) and team 3 will work on the third
expression (triple sum). You will solve problem 3-24 using only the
expression you derived in 3-23.
In 3-24 (b) you will
obtain a numerical value for the potential at the center of the cylindrical
volume. Jackson says to obtain 2-figure accuracy, but you should be able
to do much better than that. Obtain as much accuracy as you can.
Since you will be conducting a numerical experiment, you must give your
answer with its associated uncertainty.
Be prepared to justify your value. The uncertainty must include all possible
sources of numerical error.
Prepare a written paper
(typed, please) showing your calculations and describing your numerical
work. Discuss how you obtained your uncertainty. Include all
relevant references. The paper should be in the appropriate style for submission to a journal such as The Astrophysical Journal
or Physical Review, although you should include more details than would be typical for a journal paper.
On the last day of classes
your team will present your results to the rest of the class. We will
compare everyone's numerical results, and see whether the values agree within
your estimated uncertainties. You will have approximately thirty minutes (including time for questions),
so decide ahead of time what is the most significant part of your work to
share with the rest of the class.
It is up to the members
of each team to be sure that every team member contributes to the team effort.
You can divide up the work any way that you want.
This project will contribute
5% of your grade for the class.