Reference no: EM131218166
Project 1
Complete parts 1A, 1B, and 1C
Prepare a report describing your steps and results
Send by email a zip or rar file that contains the report and all MATLAB files you have used.
Project 1A:
In this project, we consider a circular disk of radius a, which is uniformly charged with ρs C/m2. The disk lies on the z=0 plane with its axis along the z-axis.
The provided MATLAB program calculates the electric fieldE at point A(0,0,h). The computation depends on discretizing the disk into small squares with side lengthd.
Project steps:
1. Use the program to obtain E at point A. Consider a disk of radius a = 1m and the discretization size d = 0.1. Consider two different values of h: 1 cm, and 1 m.
2. Choose the value of ρs to be 63μC/m2.
3. Compare the obtained computational results with infinite surface charge approximation.
4. Derive an analytical expression of flux density E at point A. Show that:
E= ρs/(2ε0 ) {1-h/√(h2 + a2 )} az
5. Compare the computational results with the analytical solution. (Calculate the percentage error for each value of h).
6. Repeat part 5, using d =1 mm. Compare the computation time of part 5 and part 6.
Project 1B:
This project considers applying the boundary conditions on the boundary between two different media. Considering εr1=2 and εr2=3, use the given MATLAB program of Project1B to calculate the following fields:
E2 given that E1 = 3ax + 4ay + 5az.
E1 given that E2 = 3ax + 4ay + 5az.
Project 1C:
Consider a uniform line charge of ρL= XXμC/m is located on the z-axis in the region -1<z<1. XX are the last two digits of your ID. Write a MATLAB program to calculate E at point P (0.3, 0.4, 0.5). Calculate the percentage error in the magnitude of E if infinite line approximation is used to find E.
Attachment:- Assignment.rar
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