Mathematica Fun"s":Solving Electromagnetic HW4 Prob2

Question:

Write a program, based on finite difference method, to find the Capacitance per unit length of the following structure, accurately to three significant digits. The conductor at the center has a width of 2w. The conducting enclosure is 9w in width and 5w in height, as shown in the figure. The structure is infinite in extension perpendicular to the page.

pictures in my report:

Mathematica Fun"s": Solving Electromagnetic HW1 Prob1

Prob1:
A conducting thin wire has a total length of 4 cm and is bent into a square with its
center at the origin. There is a total of 4 nano Coul of electric charges on it. Use moment method to find the potential of this wire V, accurately to the second digit of decimal. (You must carry out all the calculations. Just list out equations will get you no points)

The main idea of this program is pretty easy: Using finite number of charges of various value to approximate the continuous charge distribution on the square conductor shown in the following figure:

Mathematica Fun"s": 3D "Merry Christmas" In Jokerman Font Using Plot3D And Image Processing

Merry Christmas! : )

It took me a few days to finish this notebook in my free time! Mostly spent on manually taking each character out of the original picture which contains all the capital and non-capital alphabet.

The original picture of Jokerman font found on the web:

2 New Catagories For Mathematica:Tips&Fun"s"

Image via Wikipedia

Although I've been using Mathematica for about 5 years now, as I mentioned in my previous post, not until recently(Uh..actually, at the beginning of this semester) did I discovered and started to realize the potential of Mathematica.  So I think I perfectly fit into the "newbie" categories.

Mathematica 8 Is Full Of Surprises!

Since it's the coolest tool I've ever seen, so I can't help spreading the new idea.
Here's more detail, enjoy!


I still remembered the 1st time I used Mathematica when I was only 16.