Module 11: Maxwell's Equations and the Wave Equation

Lectures & Videos

Folder description

Module 11 contains the following lectures and videos:

Gradient (11A)
Maxwell's Equation and the Wave Equation (11B)
Transmission Lines and Radiation from Antennas (11C)
Antenna and Transmission Line Video and Animations (11D)
1. Dipole HFSS Polarization
2. Propagation from Dipole
3. Simple Propagation
4. Electromagnetic Radiation

Click the Lectures & Videos link above to access the videos.

Technical

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Overview SummaryObjectives

Cell description

Summary

In this module we will see how some concepts using vector identities allow us to move from Maxwell’s equations to an equation showing the wave behavior of electromagnetic radiation. We will also see James Clerk Maxwell’s contribution to science of proving that electromagnetic radiation travels at the speed of light. This is followed by some examples of electromagnetic radiation.

Objectives

By the end of this module, you will be able to:

Show how the differential form of Maxwell’s equations can be derived from the integral forms.
Demonstrate that starting with Maxwell’s equations the wave equation can be derived.
Explain how the solution of the electromagnetic wave equation shows that EM waves propagate at the speed of light.
Explain the physics of electromagnetic radiation.
Demonstrate applications of EM radiation.

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Learning Guide

Cell description

There are narrated slides that explain further details of the concepts in chapter 5 which should be viewed after reading the chapter. Videos of some of the concepts of induction are also available for viewing. Videos are available showing worked examples of every example in chapter 5.

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Readings

Cell description

Fleisch, D. (2008). A student's guide to Maxwell's equations. New York: Cambridge University Press.

Chapter 5 - From Maxwell's Equation to the Wave Equation

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Discussion Questions

Cell description

Click the Module 11 Discussion link above to access and participate in this week’s discussion by responding to the prompts below.

Explain in your own words why Stokes Theorem makes sense.
How would you explain the divergence theorem?
What did it mean that the velocity of EM radiation is the speed of light?

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Module 11 Assignment

Cell description

Please complete the attached assignment as practice for the quiz. The solutions for the problems are attached so once you have completed the problems check your answer. If you do not understand the solution please post a question. Once you are done with this assignment you can take the quiz.

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</li></ul></div></div>\n\n    <div class=\"vtbegenerated\"> \n <p>Please complete the attached assignment as practice for the quiz. The solutions for the problems are attached so once you have completed the problems check your answer.&nbsp; If you do not understand the solution please post a question.&nbsp; Once you are done with this assignment you can take the quiz.</p> \n</div>\n  </div>\n\n <div id=\"_6258561_1previewModule\" class=\"moduleSample\">\n </div>\n",
        "url": "https://blackboard.jhu.edu/webapps/assignment/uploadAssignment?content_id=_6258561_1&course_id=_177474_1&group_id=&mode=view",
        "title": "Module 11 Assignment"
    },
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</li></ul></div></div>\n\n    <div class=\"vtbegenerated\"> \n <p>Please complete the attached assignment as practice for the quiz. 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file_1.bin
./attachments/cell_546/file_1.bin

file_2.pdf
./attachments/cell_546/file_2.pdf

file_3.pdf
./attachments/cell_546/file_3.pdf

Module 11 Quiz

Cell description

When you have understood the material for this module and completed the homework problems please take the attached quiz. The time period for completing the quiz is two hours after download. Please read the instructions carefully before starting the quiz.

Technical

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</li></ul></div></div>\n\n    <div class=\"vtbegenerated\"> \n <p>When you have understood the material for this module and completed the homework problems please take the attached quiz.&nbsp; The time period for completing the quiz is two hours after download.&nbsp; Please read the instructions carefully before starting the quiz.</p> \n</div>\n  </div>\n\n <div id=\"_6258562_1previewModule\" class=\"moduleSample\">\n </div>\n",
        "url": "https://blackboard.jhu.edu/webapps/assignment/uploadAssignment?content_id=_6258562_1&course_id=_177474_1&group_id=&mode=view",
        "title": "Module 11 Quiz"
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</li></ul></div></div>\n\n    <div class=\"vtbegenerated\"> \n <p>When you have understood the material for this module and completed the homework problems please take the attached quiz.&nbsp; The time period for completing the quiz is two hours after download.&nbsp; Please read the instructions carefully before starting the quiz.</p> \n</div>\n  </div>\n\n <div id=\"_6258562_1previewModule\" class=\"moduleSample\">\n </div>\n",
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Module 11 Quiz Solutions

Cell description

attached are the solns for the module 11 quiz.

Technical

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</li></ul></div></div>\n\n    <div class=\"vtbegenerated\"> \n <p>attached are the <span><span>solns</span></span> for the module 11 quiz.</p> \n</div>\n  </div>\n\n <div id=\"_6258563_1previewModule\" class=\"moduleSample\">\n </div>\n",
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</li></ul></div></div>\n\n    <div class=\"vtbegenerated\"> \n <p>attached are the <span><span>solns</span></span> for the module 11 quiz.</p> \n</div>\n  </div>\n\n <div id=\"_6258563_1previewModule\" class=\"moduleSample\">\n </div>\n",
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        "title": "Module 11 Quiz Solutions",
        "body": "\n      \n\n    <div> \n <p>attached are the <span><span>solns</span></span> for the module 11 quiz.</p> \n</div>\n  "
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