Project 3 (1)

E&CE 126: Bonus Marks Project Title: Equipotential lines in an irregular square grid. Description : Six metallic strips as shown in Figure 1 surround a uniform square grid with mesh size “h”. The potentials of the boundary conducting strips are V1, V2, V3, V4, V5 and V6. The inner conducting strip has a potential V7. The medium inside the grid is air. Develop the appropriate software to achieve the following requirements:

Figure 1: The square grid

Requirements: Case 1: For V1= 100 V, V2 = 70 V, V3 = 50 V, V4= 0 V, V 5 = 30, V6 = 70 V and V 7= 10, and a mesh size of 2 cm, calculate the equipotential lines (step of 10 V), everywhere inside the square mesh. Use a calculation -4

tolerance of 10 . Case 2: For V1 = 100 V, V2 = 100 V, V3 = 50 V, V4 = -100 V, V5 = -100 V, V6 = 50 V and V7 = 0 V, and a mesh size of 2 cm, calculate the equipotential lines (step of 10 V), everywhere inside the square mesh. Use -4

a calculation tolerance of 10 .

Submission: 1. Submit a report of not more than five pages. 2. The report should have brief comments on the solution method, each graph and result. 3. You may use C#, C++, Matlab, Excel, or any programming language to generate the results. 4. Write your name, ID and your e-mail on the first page of the report. Friday, December 5. This report is due on Monday, December 14,st,2009 2008. 6. Use the “Project Drop Box” created on the UWACE to submit your report. 7. Late/incomplete submissions will not be accepted. Hints: 1. Use the 2-D Laplace’s equation to obtain the equipotential lines. 2. Use Cartesian coordinate. 3. Tutorial documents on how to use Matlab and Excel are posted on the UWACE. Evaluation: The score for a perfect result is 3 bonus marks.

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