Electricity and Magnetism: Maxwell’s Equations

<div class="xblock xblock-public_view xblock-public_view-vertical" data-block-type="vertical" data-graded="False" data-init="VerticalStudentView" data-runtime-version="1" data-has-score="False" data-usage-id="block-v1:MITx+8.02.3x+1T2019+type@vertical+block@36d70929b74b4095829d32ea908553fe" data-course-id="course-v1:MITx+8.02.3x+1T2019" data-request-token="8adbecc005db11f095180e84ffb47eb3" data-runtime-class="LmsRuntime"> <h2 class="hd hd-2 unit-title">This Course on Open Learning Library</h2> <div class="vert-mod"> <div class="vert vert-0" data-id="block-v1:MITx+8.02.3x+1T2019+type@html+block@9ed13d7af3aa49f48ca66776d539eaf0"> <div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-block-type="html" data-graded="False" data-init="XBlockToXModuleShim" data-runtime-version="1" data-has-score="False" data-usage-id="block-v1:MITx+8.02.3x+1T2019+type@html+block@9ed13d7af3aa49f48ca66776d539eaf0" data-course-id="course-v1:MITx+8.02.3x+1T2019" data-request-token="8adbecc005db11f095180e84ffb47eb3" data-runtime-class="LmsRuntime"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "HTMLModule"} </script> <p>In this version of <strong>Electricity and Magnetism: Maxwell’s Equations</strong> on MIT Open Learning Library :</p> <ul> <li>No certificates can be earned on Open Learning Library</li> <li>Runs as ‘self-paced’ and all dates mentioned within are irrelevant</li> <li>Some assessment material may have been removed and grading adjusted accordingly</li> <li>Any discussion forums have been removed</li> <li>All assessments have been set to unlimited attempts</li> <li>Some course content may have been removed</li> </ul> </div> </div> </div> </div>

<div class="xblock xblock-public_view xblock-public_view-vertical" data-block-type="vertical" data-graded="False" data-init="VerticalStudentView" data-runtime-version="1" data-has-score="False" data-usage-id="block-v1:MITx+8.02.3x+1T2019+type@vertical+block@vert-about:welcome" data-course-id="course-v1:MITx+8.02.3x+1T2019" data-request-token="8adbecc005db11f095180e84ffb47eb3" data-runtime-class="LmsRuntime"> <h2 class="hd hd-2 unit-title">About Electromagnetism</h2> <div class="vert-mod"> <div class="vert vert-0" data-id="block-v1:MITx+8.02.3x+1T2019+type@html+block@Welcome3"> <div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-block-type="html" data-graded="False" data-init="XBlockToXModuleShim" data-runtime-version="1" data-has-score="False" data-usage-id="block-v1:MITx+8.02.3x+1T2019+type@html+block@Welcome3" data-course-id="course-v1:MITx+8.02.3x+1T2019" data-request-token="8adbecc005db11f095180e84ffb47eb3" data-runtime-class="LmsRuntime"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "HTMLModule"} </script> <h2>Welcome to 8.02.3x, Electromagnetism!</h2><p> Welcome to the last part of 8.02x! Here we finally look at what happens when there are time-changing magnetic fields. We then finish off Maxwell's Equations and put them all together to see what comes out of them! We also have all the basic circuit components we need to explore a few different basic circuits with either a battery or AC current.</p><h3>Pre-Requisites</h3><p>To take 8.02, you must have a background in mechanics and multivariable calculus. This is the third and final part of the Electromagnetism sequence, so to take this course you should have some familiarity with the topics in the first parts:</p><ul><li>Electrostatics: Charges, Electric Fields, Electrical Potential, Conductors, and Dielectrics.</li><li>Magnetostatics: Current, Reisistance, Magnetic Fields.</li></ul><h3>Why Study Electricity and Magnetism?</h3><p>This course is an introduction to electromagnetic fields and forces. Electromagnetic forces quite literally dominate our everyday experience. The material object presenting this text does not fall through the floor to the center of the earth because it is floating on (and held together by) electrostatic force fields. However, we are unaware of this in a visceral way, in large part because electromagnetic forces are so enormously strong, [mathjaxinline]10^{40}[/mathjaxinline] times stronger than gravity.</p><p>Because of the strength of electromagnetic forces, any small imbalance in net electric charge gives rise to enormous forces that act to try to erase that imbalance. Thus in our everyday experience, matter is by and large electrically neutral, and our direct experience with electromagnetic phenomena is disguised by many subtleties associated with that neutrality. This is very unlike our direct experience with gravitational forces, which is straightforward and unambiguous.</p><p>The objectives of this course are to tease out the laws of electromagnetism from our everyday experience by specific examples of how electromagnetic phenomena manifest themselves. We want to be able: (1) to describe, in words, the ways in which various concepts in electromagnetism come into play in particular situations; (2) to represent these electromagnetic phenomena and fields mathematically in those situations; (3) and to predict outcomes in other similar situations. The overall goal is to use the scientific method to come to understand the enormous variety of electromagnetic phenomena in terms of a few relatively simple laws.</p> </div> </div> </div> </div>

<div class="xblock xblock-public_view xblock-public_view-vertical" data-block-type="vertical" data-graded="False" data-init="VerticalStudentView" data-runtime-version="1" data-has-score="False" data-usage-id="block-v1:MITx+8.02.3x+1T2019+type@vertical+block@Release_and_Due_Dates" data-course-id="course-v1:MITx+8.02.3x+1T2019" data-request-token="8adbecc005db11f095180e84ffb47eb3" data-runtime-class="LmsRuntime"> <h2 class="hd hd-2 unit-title">Release and Due Dates</h2> <div class="vert-mod"> <div class="vert vert-0" data-id="block-v1:MITx+8.02.3x+1T2019+type@html+block@Syllabus-2019-3"> <div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-block-type="html" data-graded="False" data-init="XBlockToXModuleShim" data-runtime-version="1" data-has-score="False" data-usage-id="block-v1:MITx+8.02.3x+1T2019+type@html+block@Syllabus-2019-3" data-course-id="course-v1:MITx+8.02.3x+1T2019" data-request-token="8adbecc005db11f095180e84ffb47eb3" data-runtime-class="LmsRuntime"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "HTMLModule"} </script> <p>The following table gives very good estimates of when content will be released, in addition to due dates for lecture exercises and for homework. Any adjustments for this schedule will be made here. <b> All listed times in this course are in UTC</b></p> <p><b>Please pay attention to the due dates. Individual extensions cannot be granted under any circumstances.</b></p> <table border="1" cellspacing="0" cellpadding="0" align="left" width="754"> <tbody> <tr> <td width="13%" valign="top"></td> <td width="24%" valign="top"> <p align="center"><strong>Release Date</strong></p> </td> <td width="22%" valign="top"> <p align="center"><strong>Topics</strong><strong></strong></p> </td> <td width="24%" valign="top"> <p align="center"><strong> Lesson exercises and HW due date</strong></p> </td> </tr> <tr> <td width="13%" valign="top"> <p align="center"><strong>Week 10</strong><strong></strong></p> </td> <td width="24%" valign="top"> <p align="center">Wed June 12</p> </td> <td width="22%" valign="top"> <p>Week 10: Faraday's Law and Inductors</p> </td> <td width="24%" valign="top"> <p align="center">Sat June 29 @23:59 UTC</p> </td> </tr> <tr> <td width="13%" valign="top"> <p align="center"><strong>Week 11</strong><strong></strong></p> </td> <td width="24%" valign="top"> <p align="center">Wed June 19</p> </td> <td width="22%" valign="top"> <p>Week 11: LR, LC, and RLC Circuits</p> </td> <td width="24%" valign="top"> <p align="center">Fri July 5 @23:59 UTC</p> </td> </tr> <tr> <td width="13%" valign="top"> <p align="center"><strong>Week 12</strong><strong></strong></p> </td> <td width="24%" valign="top"> <p align="center">Wed June 26</p> </td> <td width="22%" valign="top"> <p>Week 12: AC Circuits</p> </td> <td width="24%" valign="top"> <p align="center">Sat July 13 @23:59 UTC</p> </td> </tr> <tr> <td width="13%" valign="top"> <p align="center"><strong>Week 13</strong><strong></strong></p> </td> <td width="24%" valign="top"> <p align="center">Wed July 3</p> </td> <td width="22%" valign="top"> <p>Week 13: Displacement Current and the Solution to Maxwell's Equations</p> </td> <td width="24%" valign="top"> <p align="center">Sat July 20 @23:59 UTC</p> </td> </tr> <tr> <td width="13%" valign="top"> <p align="center"><strong>Week 14</strong><strong></strong></p> </td> <td width="24%" valign="top"> <p align="center">Wed July 10</p> </td> <td width="22%" valign="top"> <p>Week 14: Poynting Vector and Energy Flow</p> </td> <td width="24%" valign="top"> <p align="center">Thurs July 25 @23:30 UTC</p> </td> </tr> <tr> <td width="13%" valign="top"> <p align="center"><strong>Week 15 (Optional)</strong><strong></strong></p> </td> <td width="24%" valign="top"> <p align="center">Wed July 17</p> </td> <td width="22%" valign="top"> <p>Week 15: Applications of EM Waves</p> </td> <td width="24%" valign="top"> <p align="center">Ungraded</p> </td> </tr> </tbody> </table> </div> </div> </div> </div>

<div class="xblock xblock-public_view xblock-public_view-vertical" data-block-type="vertical" data-graded="False" data-init="VerticalStudentView" data-runtime-version="1" data-has-score="False" data-usage-id="block-v1:MITx+8.02.3x+1T2019+type@vertical+block@Grading_and_Certificates" data-course-id="course-v1:MITx+8.02.3x+1T2019" data-request-token="8adbecc005db11f095180e84ffb47eb3" data-runtime-class="LmsRuntime"> <h2 class="hd hd-2 unit-title">Grading and Certificates</h2> <div class="vert-mod"> <div class="vert vert-0" data-id="block-v1:MITx+8.02.3x+1T2019+type@html+block@grading"> <div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-block-type="html" data-graded="False" data-init="XBlockToXModuleShim" data-runtime-version="1" data-has-score="False" data-usage-id="block-v1:MITx+8.02.3x+1T2019+type@html+block@grading" data-course-id="course-v1:MITx+8.02.3x+1T2019" data-request-token="8adbecc005db11f095180e84ffb47eb3" data-runtime-class="LmsRuntime"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "HTMLModule"} </script> <h2>Grades</h2> <p>The weighting of each piece of assessment is given in the table below.</p> <table> <tbody> <tr><th colspan="2" style="text-align: center;">Weighting scheme</th></tr> <tr> <td><strong>Component</strong></td> <td><strong>Weight</strong></td> </tr> <tr> <td>Exercises</td> <td>100%</td> </tr> </tbody> </table> <p></p> </div> </div> </div> </div>

To Use	Type	Examples
Numbers	Integers Fractions Decimals	2520 2/3 3.14, .98
Operators	+ - * / (add, subtract, multiply, divide) ^ (raise to a power) \|\| (parallel resistors)	x+(2*y)/x-1 x^(n+1) v_IN+v_OUT 1\|\|2
Constants	c, e, g, i, j, k, pi, q, T	20c 418T
Affixes	Percent sign (%) and metric affixes (d, c, m, u, n, p, k, M, G, T)	20% 20c 418T
Basic functions	abs, exp, fact or factorial, ln, log2, log10, sqrt	abs(x+y) sqrt(x^2-y)
Trigonometric functions	sin, cos, tan, sec, csc, cot arcsin, sinh, arcsinh, etc.	sin(4x+y) arccsch(4x+y)
Scientific notation	10^ and the exponent	10^-9
e notation	1e and the exponent	1e-9