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EE3321 ELECTROMAGNETIC FIELD THEORY

TERM PROJECT

Goals

1.                Obtain the equipotential and electric field lines around an electric dipole consisting of equal and opposite point charges +𝑄𝑄 and –𝑄𝑄 separated by a small distance 𝑑𝑑.   Assume that the observation point P is at a distance 𝑅𝑅>>𝑑𝑑.

2.                Understand that the computer is only as intelligent as the human that programs it.

Activities

Study the behavior electric potential of an electric dipole: derive expressions of the potential for a dipole aligned with the:

A) z axis so 𝒑𝒑  𝑹𝑹 = 𝑝𝑝𝒛𝒛  𝑹𝑹 = 𝑝𝑝cos𝜃𝜃 B) y axis so 𝒑𝒑  𝑹𝑹 = 𝑝𝑝𝒚𝒚  𝑹𝑹 = 𝑝𝑝sin𝜃𝜃 sin𝜑𝜑 C) x axis so 𝒑𝒑  𝑹𝑹 = 𝑝𝑝𝒙𝒙  𝑹𝑹 = 𝑝𝑝sin𝜃𝜃 cos𝜑𝜑

Write a MATLAB script in which you define the potential function of the electric dipole for each case (A-C) in the y-z (𝜑𝜑 = 90°) plane . Use the command “gradient” to compute the electric field from the potential.  Use the commands “contour” and “quiver” to obtain plots of the equipotential lines and electric field vectors.

Analyze results, describing the behavior of the potential and the resulting electric field in each case.

Write a report summarizing procedure, theoretical analysis, and major simulation findings.

Report

Cover Page                                                               2. Analysis

•    Title of report   • V and E for a dipole aligned with z axis

•    Student’s name         • V and E for a dipole aligned with y axis

•    Course number and title  • V and E for a dipole aligned with z axis

•    Department       3. Simulations

4. Results

•    College      5. Conclusions

•    University 6. Bibliography

•    Date

Executive Summary

1. Introduction

•    Problem statement

•    Analysis and simulations procedures

References

1.              Use as many references as needed.  Go to the library if you need to check books out.

2.              References should be clearly cited in the body of the report to support assertions made. 

3.              List all references in the bibliography, using Chicago-style citation standard http://www.chicagomanualofstyle.org/tools_citationguide.html.

Format

Cover Page

◦ Use font 16

◦ Center all lines

Executive Summary

◦ Use full justification

◦ Use Calibri font, size 12

◦ Use 1.15 line spacing

Body of Report

◦ Use full justification

◦ Use Calibri font, size 12

◦ Use 1.15 line spacing

◦ Use “Heading 1” option for report section headings ◦ Use “Insert” option to write equations and symbols

◦ Treat all circuit diagrams and simulation plots as figures. 

◦ Label all figures as it’s done in the book.

K.O.D.

•   Poor formatting

•   Poor spelling and grammar

•   Incomplete sentences

•   Meaningless content

•   Circular conclusions

Due Date

The report is due Wednesday before Thanksgiving.