pictures in my report:
This is the 2nd program I wrote this semester, since I became more familiar with writing Mathematica code then so the efficiency is much better despite the fact that the 2nd program was more complicated than the 1st one. I still remember that I spent days writing this program&document and felt exhausted afterwards XD!
Here is my main idea of the program: Assume that there will be 0.04 nano Coul on inner conductor and -0.04nC on outer conductor, using the concept of superposition
(1)Take out -0.04nC on outer conductor, using moment method to calculate the voltage(Vin1) induced by +0.04nC on inner conductor. After that, use finite difference method to calculate the voltage(Vout1) induced by +0.04nC on outer conductor.
(2)Similarly, take out +0.04nC on inner conductor and use moment method+finite difference method to find out the voltage(Vin2) on inner conductor and voltage(Vout2) on outer conductor, both produced by -0.04nC.
(3)The real value of voltage of inner conductor Vin=Vin1+Vin2, and the true voltage of outer conductor is Vout=Vout1+Vout2
(4)Capacitance per unit length=(0.04nC/cm)/(Vin-Vout)
The main question I had for this program is that I'm not 100% sure that I can use superposition to calculate the voltage(i.e. Vin1,Vin2,Vout1,Vout2), since the steady-state charge distribution on either inner or outer conductor will be affected by charges on both of inner&outer conductor. But I tried to present this effect by step (3), so it should be ok(it should be Okay!?).
Note: Be ware!! The result I got from this program was 2 times what one of my friend got, so I'm not really sure which one of us got the correct result since we use 2 totally different methods.
The report in Mathematica:
http://www.megaupload.com/?d=GJA8CELZ
The report in pdf:
http://www.megaupload.com/?d=K7IBHMR6
