electromagnetic fields matlab code

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abbe96

Engineering

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I have attached the question and the paper requirement. this project requires a matlab code and a paper describing the theory and what you did. please contact me if you have any further questions.

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A first metal plate is oriented in the X-Z plane with Y = 0 and has sides Z1 and X1 as shown. The surface area S1 = x1(Z1). The uniform surface charge density for the first plate ps = +0.1 C/cm2 A second metal plate is oriented as shown with the left side at Y1 but tilted at an angle O with respect to the X-Z plane. For this second plate the width in the X direction is also X1 and the right end is at Y = Y1 + Z1 tan(e). The surface area S2 = x1(21/(1+tan2e)). The uniform surface charge density for the second plate ps = + 0.4 C/cm2 Y х Y1 P(x,y,z). X1 0 0 Z Z1 Using the discrete summation solution in MATLAB of the integral form of Coulomb's Law with discrete charges AQ from the surface charge density ps and surface area AS, determine the resulting Eat a point P(x,y,z) as shown. Ers dQ 4TT ε. R? aR E= Eden od on = L 0,45 ar 4TTE R? The point P(x,y,z) should be entered as a variable for x, y, and z should range from: 0.2(X1) SXS 0.7(X1) 0.2(71) SZS 0.7(71) 0.20Y1) sy s 0.7(Y1) Out of range entries should be flagged. This is to avoid the electrostatic field anomaly and calculation difficulty due to the fringing effect. You are to reference and discuss in the Report what is meant by the fringing effect. For the distances X1 and Z1 use your birth date in cm and birth month in cm with the smaller (or equal) number as X1 and the larger (or equal) number as Z1. For the distance Y1 = (X1 + Z1)/2. For example, June 16th means X1 = 6 cm, Z1 = 16 cm and Y1 = 11 cm. The angle in degrees is your birth year minus 1985 x 2. If the year is 1995 then = 20° You should use a value for AS that can approximate the integral formulation for E from the discrete summation. To show this you are to compare a AS = 0.1 x 0.1 cm (1 x 1 mm) solution to that obtained for 0.01 x 0.01 cm (0.1 x 0.1 mm) and 0.001 x 0.001 cm (10 um x 10 um) for the resultant E. Note that S1 + S2 which implies that the number of discrete summation is different for each of the surfaces. The resulting E is the sum of E, from S1 and E2 from S2. Plot you results for the resulting E in Cartesian coordinates. Plot the results for E for: 1. x as a variable and y = Y1/2 and z = Z1/2 fixed; and 2. z as a variable and y= Y1/2 and x = X1/2. Queries and concerns for you project, especially if there are unreasonable parameters, should be directed to the Instructor in a timely manner. This project is to be written using the Project Report Format and hard copy is due no later than 3 PM Friday October 20, 2017 in class. Late submission can be done via email to the Instructor for time and date stamping but with hard copy immediately afterwards. Late submission will result in a grade reduction of one- half a letter grade per day. This project is an example of an electrostatic deflection plate where the resulting E is used to deflect moving electrons (the Lorentz force). Project reports are intended to document engineering analyses. In general, these reports have two audiences. One audience includes other engineers interested in how the analysis works and the other is management interested in the reasonableness of the analysis. A commonly used organization for design reports: Summary, Introduction, Discussion, Conclusions, and Appendices. Summary The Summary, sometimes called the abstract or executive summary, is a concise synopsis of the analysis, the motivation for having the analysis, and the results of the analysis. You should assume that the audience has some knowledge of the subject, but has not read the report. For that reason, the Summary should provide enough background so that it stands on its own Introduction The Introduction of a project report identifies the problem, the objectives of the project, the assumptions for the project, the alternatives analyses considered (if any), and the rationale for the selection of the analysis being reported. Also included is a description of the entire report. Discussion The Discussion presents the analysis itself, the theory behind the analysis, the problems encountered (or anticipated) in producing the analysis, how those problems were (or could be) overcome, and the results of any procedures used in the analysis. Note that this part usually consists of two, three, or four main headings for what would be a logical division for your particular design. Conclusions The Conclusions section summarizes the project, the work completed and assesses how well the project results meets the objectives presented in the Introduction. Note that if the project results do not meet the objectives, you should describe why the project did not succeed and what could be modified to make the project a success. Besides summarizing the work and analyzing whether the objectives were met, the Conclusions section also gives a future perspective for how the project could be used to perform other analyses. Appendices In a report, Appendices often are included. One type of Appendix that appears in a project report presents information that is too detailed to be placed into the text of the text (for example, MATLAB code). For example, if you had a long table giving voltage-current measurements for a circuit, you might place this tabular information in an Appendix and include a graph of the data in the text of the report. Another type of Appendix that often appears in project reports presents tangential information that does not directly concern the objectives of the project. If the Appendix is formal, it should contain a beginning, middle, and ending. For example, if the Appendix contains tables of test data, it should not only contain the tabular data, but also formally introduce those tables, discuss why they have been included, and explain any unusual aspects that might confuse the audience. Format The project report should be formatted using a standard 12 point font such as Arial or Times New Roman, single spaced, with 1 inch margins top and bottom and 1.25 inch margins on the left and right side. Use non-indented paragraphs, a space between paragraphs and bold 12 point font section headings. The title of the report should be in non-bold 16 point font with your name in non-bold 12 point font and email address in non-bold 12 point italic font. The pages should be numbered (but not on the first page) in the upper right hand corner. A single staple in the upper left hand corner secures the report. Except for the staple, the discussion here is produced in this manner.
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Assignment Title: Electromagnetic Field MATLAB Report
Student Name
Course Name
Instructor Name
Due Date

Title: Electromagnetic Field MATLAB Report
Summary
The synopsis of the analysis is that the electric field will be perpendicular to the
finite surface S1 only if the point P  x, y, z  lies on the symmetrical axis of S1 . However,
this is not always the case. If P  x, y, z  does not on the symmetrical axis of S1 , then
unlike the case of infinite plane in which symmetry can be taken everywhere, it would be
very complicated to compute the electric field at P  x, y, z  by hand. The similar
argument applies for the other finite surface S 2 . The motivation for having the analysis is
that we use MATLAB to estimate the electric field generated by a strange-looking shape
that has uniform density charge on it. MATLAB is extremely helpful on the case that we
cannot compute manually. The result of the analysis shows that unlike general pattern
such as electric field at a point due to 2D infinite plane, the electric field at point

P  x, y, z  can vary di...


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