{"id":52,"date":"2022-05-23T15:29:23","date_gmt":"2022-05-23T15:29:23","guid":{"rendered":"https:\/\/academic.csuohio.edu\/kaufman-miron\/?page_id=52"},"modified":"2022-05-23T15:36:30","modified_gmt":"2022-05-23T15:36:30","slug":"phy350-electricity-and-magnetism-i-fall-2019","status":"publish","type":"page","link":"https:\/\/academic.csuohio.edu\/kaufman-miron\/phy350-electricity-and-magnetism-i-fall-2019\/","title":{"rendered":"PHY350: Electricity and Magnetism I, FALL 2019"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\"><a href=\"https:\/\/academic.csuohio.edu\/kaufman-miron\/wp-content\/uploads\/sites\/60\/2022\/05\/SYLLABUS350.pdf\">Syllabus PHY350<\/a><\/h3>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"alignright size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/academic.csuohio.edu\/kaufman-miron\/wp-content\/uploads\/sites\/60\/2022\/05\/JamesClerkMaxwell_statue_Edinburgh-768x1024.jpg\" alt=\"\" class=\"wp-image-62\" width=\"384\" height=\"512\" srcset=\"https:\/\/academic.csuohio.edu\/kaufman-miron\/wp-content\/uploads\/sites\/60\/2022\/05\/JamesClerkMaxwell_statue_Edinburgh-768x1024.jpg 768w, https:\/\/academic.csuohio.edu\/kaufman-miron\/wp-content\/uploads\/sites\/60\/2022\/05\/JamesClerkMaxwell_statue_Edinburgh-225x300.jpg 225w, https:\/\/academic.csuohio.edu\/kaufman-miron\/wp-content\/uploads\/sites\/60\/2022\/05\/JamesClerkMaxwell_statue_Edinburgh-1152x1536.jpg 1152w, https:\/\/academic.csuohio.edu\/kaufman-miron\/wp-content\/uploads\/sites\/60\/2022\/05\/JamesClerkMaxwell_statue_Edinburgh-1536x2048.jpg 1536w, https:\/\/academic.csuohio.edu\/kaufman-miron\/wp-content\/uploads\/sites\/60\/2022\/05\/JamesClerkMaxwell_statue_Edinburgh.jpg 1920w\" sizes=\"auto, (max-width: 384px) 100vw, 384px\" \/><figcaption>James Clerk Maxwell&#8217;s statue in Edinburgh by Alexander Stoddart<\/figcaption><\/figure><\/div>\n\n\n\n<p>Professor:&nbsp;Miron Kaufman&nbsp;OFFICE: SI-116, TEL.6872436<br><a href=\"mailto:m.kaufman@csuohio.edu\">m.kaufman@csuohio.edu <\/a><\/p>\n\n\n\n<p>Prerequisites: MTH181, MTH182, MTH281, PHY330<br>LECTURE: M, W 6:00 &#8211; 7:15 PM, SI-147<br>OFFICE HOUR: M, W 3:00 &#8211; 3:50 PM, SI-116<br>REQUIRED BOOKS: D. J. Griffiths: Introduction to Electrodynamics<br>Kaufman: Electricity and Magnetism Computational Projects<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">We study the laws of Electrostatics and Magnetostatics, the Maxwell equations, and their applications to the physics of dielectrics and magnetic materials.<\/h3>\n\n\n\n<h2 class=\"wp-block-heading\">Tentative Schedule<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>WEEK #1, 2 REVIEW OF VECTOR ALGEBRA and CALCULUS CH.1;<\/li><li>WEEK #3, 4 ELECTROSTATICS:&nbsp;<a href=\"https:\/\/en.wikipedia.org\/wiki\/Charles-Augustin_de_Coulomb\" target=\"_blank\" rel=\"noopener\">COULOMB <\/a>&nbsp;LAW,&nbsp;<a href=\"http:\/\/www-groups.dcs.st-and.ac.uk\/history\/Biographies\/Gauss.html\" target=\"_blank\" rel=\"noopener\">GAUSS <\/a>&nbsp;LAW, POTENTIAL CH.2;<\/li><li>WEEK #5, 6&nbsp;<a href=\"http:\/\/www-history.mcs.st-andrews.ac.uk\/Biographies\/Poisson.html\" target=\"_blank\" rel=\"noopener\">POISSON <\/a>&nbsp;AND&nbsp;<a href=\"http:\/\/www-groups.dcs.st-and.ac.uk\/history\/Biographies\/Laplace.html\" target=\"_blank\" rel=\"noopener\">LAPLACE <\/a>&nbsp;EQUATIONS CH.3;<\/li><li>WEEK #7, 8 POLARIZATION, DIELECTRICS CH.4;<\/li><li>WEEK #9, 10, 11, 12 MAGNETOSTATICS:&nbsp;<a href=\"https:\/\/en.wikipedia.org\/wiki\/Hendrik_Lorentz\" target=\"_blank\" rel=\"noopener\">LORENTZ <\/a>&nbsp;FORCE,&nbsp;<a href=\"https:\/\/en.wikipedia.org\/wiki\/Jean-Baptiste_Biot\" target=\"_blank\" rel=\"noopener\">BIOT <\/a>&#8211;<a href=\"https:\/\/en.wikipedia.org\/wiki\/F%C3%A9lix_Savart\">SAVART <\/a>&nbsp;LAW,&nbsp;<a href=\"https:\/\/en.wikipedia.org\/wiki\/Andr%C3%A9-Marie_Amp%C3%A8re\" target=\"_blank\" rel=\"noopener\">AMPERE <\/a>&nbsp;LAW; MAGNETIC MATERIALS CH.5; 6<\/li><li>WEEK #13,14 OHM LAW, DRUDE MODEL;&nbsp;<a href=\"https:\/\/en.wikipedia.org\/wiki\/Michael_Faraday\" target=\"_blank\" rel=\"noopener\">FARADAY <\/a>-LENZ INDUCTION;&nbsp;<a href=\"https:\/\/en.wikipedia.org\/wiki\/James_Clerk_Maxwell\" target=\"_blank\" rel=\"noopener\">MAXWELL <\/a>&nbsp;EQUATIONS CH.7;<\/li><li>WEEK #15 CONSERVATION LAWS: CHARGE (CONTINUITY EQUATION), ENERGY (POYNTING EQUATION) CH.8.<\/li><\/ul>\n\n\n\n<hr class=\"wp-block-separator is-style-wide\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Important Dates<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>NO CLASS: M SEPTEMBER 2, W OCTOBER 16.<\/li><li>Last day to withdraw: Friday, November 1.<\/li><\/ul>\n\n\n\n<hr class=\"wp-block-separator is-style-wide\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Exams Schedule<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Exam #1 M, October 14<\/li><li>Final Exam W, December 11.<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">The final grade is a weighted average of:<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Exam #1 30%<\/li><li>Final Exam 35%<\/li><li>Computer Project 25%<\/li><li>Homework, Quizzes 10%<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">QUIZ SOLUTION<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Quiz #1<\/li><li>Quiz #2<\/li><\/ul>\n\n\n\n<p>Part of the course is a project in the computer lab of the Physics Department. We will work modeling problems in electrostatics and magnetostatics by using MathCad on the following dates:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>W, September 4:<a href=\"https:\/\/academic.csuohio.edu\/kaufman-miron\/wp-content\/uploads\/sites\/60\/2022\/05\/emlab1.pdf\">Computer lab #1<\/a>: Vector algebra and calculus<\/li><li>W, September 18:<a href=\"https:\/\/academic.csuohio.edu\/kaufman-miron\/wp-content\/uploads\/sites\/60\/2022\/05\/emlab2b.pdf\">Computer lab #2<\/a>&nbsp;and&nbsp;<a href=\"https:\/\/academic.csuohio.edu\/mkaufman\/kaufman\/emlab3.PDF\"><\/a>Computer lab #3:<\/li><li>W, October 2:&nbsp;<a href=\"https:\/\/academic.csuohio.edu\/mkaufman\/kaufman\/emlab4.PDF\"><\/a>Computer lab #4:<\/li><li>W, October 30:&nbsp;<a href=\"https:\/\/academic.csuohio.edu\/mkaufman\/kaufman\/emlab5.PDF\"><\/a>Computer lab #5:<\/li><li>W, November 13:<a href=\"https:\/\/academic.csuohio.edu\/mkaufman\/kaufman\/emlab6.PDF\"><\/a>Computer lab #6:<\/li><li>W, November 27:<a href=\"https:\/\/academic.csuohio.edu\/mkaufman\/kaufman\/emlab7.PDF\"><\/a>Computer lab #7:<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Homework<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">Homework #1<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Griffiths Ch.1: Problems: 3, 7, 11, 13, 15, 18; Examples: 9, 10, 11<\/li><li>Using the Cartesian unit vectors x, y, z, write the vector&nbsp;<strong>V<\/strong>&nbsp;pointing from (2, -4, 1) to (0, -2, 0). Find its magnitude |<strong>V<\/strong>| and the angle it makes with the z axis.<\/li><li>Given&nbsp;<strong>V1<\/strong>&nbsp;= 3<strong>x<\/strong>&nbsp;+5<strong>y<\/strong>&nbsp;&#8211;<strong>z<\/strong>;&nbsp;<strong>V2<\/strong>&nbsp;=-2<strong>x<\/strong>&nbsp;+<strong>y<\/strong>&nbsp;-3<strong>z<\/strong>;&nbsp;<strong>V3<\/strong>&nbsp;= 6<strong>x<\/strong>&nbsp;+5<strong>y<\/strong>&nbsp;-3<strong>z<\/strong>, compute:&nbsp;<strong>V1<\/strong>*<strong>V2<\/strong>;&nbsp;<strong>V1<\/strong>x<strong>V3<\/strong>;&nbsp;<strong>V1<\/strong>*(<strong>V2<\/strong>x<strong>V3<\/strong>); (<strong>V1<\/strong>x<strong>V2<\/strong>)x<strong>V3<\/strong>. Check that (<strong>V1<\/strong>x<strong>V2<\/strong>)x<strong>V3<\/strong>&nbsp;= &#8211;<strong>V1<\/strong>(<strong>V2<\/strong>*<strong>V3<\/strong>) +&nbsp;<strong>V2<\/strong>(<strong>V1<\/strong>*<strong>V3<\/strong>).<\/li><li>Consider a cube. Calculate the angle between the cube&#8217;s diagonal and the face diagonal adjacent.<\/li><li>Given&nbsp;<strong>V<\/strong>&nbsp;= y<sup>2<\/sup>z<strong>x<\/strong>&nbsp;+ z<sup>2<\/sup>x<strong>y<\/strong>&nbsp;+ x<sup>2<\/sup>y<strong>z<\/strong>&nbsp;, verify: del*(delx<strong>V<\/strong>) = 0; delx(delx<strong>V<\/strong>) = del(del*<strong>V<\/strong>) &#8211; del<sup>2<\/sup><strong>V<\/strong><\/li><li>DUE:W 9-4-17<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Homework #2<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Griffiths Ch.1, Problems: 44, 45, 49.<\/li><li>Griffiths Ch.2, Problems: 2.<\/li><li>Calculate the electric flux generated by a uniform field&nbsp;<strong>E<\/strong>&nbsp;= E<strong>x<\/strong>&nbsp;through the faces of a cube of side size a.<\/li><li>DUE:<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Homework #3<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Two charges -q<sub>0<\/sub>&nbsp;and &#8211; aq<sub>0<\/sub>&nbsp;are at a distance L apart. They are free to move but they do not because of a third charge. Compute the third charge and its location.<\/li><li>Griffiths Ch.2, Problems: 3, 4, 5, 6.<\/li><li>DUE:<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Homework #4<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Griffiths Ch.2, Problems: 9, 11, 12, 13, 15, 16.<\/li><li>DUE:<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Homework #5<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Griffiths Ch.2, Problems: 21, 22, 23, 24.<\/li><li>DUE:<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Homework #6<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Griffiths Ch.2, Problems: 14, 25, 38, 39, 43, 52.<\/li><li>The electrostatic potential is V(x,y,z) = axy. What are the SI units for the constant a? Calculate: (a) the electric field&nbsp;<strong>E<\/strong>; (b) delx<strong>E<\/strong>; Is V a possible electrostatic potential ? ; (c) the charge density; (d) the energy density.<\/li><li>DUE:<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Homework #7<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Griffiths Ch.2, Problems: 31, 32, 34, 36.<\/li><li>The electrostatic potential is V(x,y,z) = a(x<sup>2<\/sup>&nbsp;&#8211; y<sup>2<\/sup>). What are the SI units for the constant a? Calculate: (a) the electric field&nbsp;<strong>E<\/strong>; (b) x E; Is V a possible electrostatic potential? ; (c) the charge density; (d) the energy density.<\/li><li>DUE:<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>Griffiths Ch.3 Problems: 13, 15, 33, 34, 36.<\/li><li>DUE:<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Homework #8<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>1. For the physical dipole of Griffiths Example 3.10 find the first three terms in the potential multipole expansion: monopole, dipole, quadrupole (see also Griffiths, Problem 3.31).<\/li><li>2. A circular ring of radius R, centered on origin and laying in the xy plane, carries a uniform linear charge density ?. Find the first two terms in the potential multipole expansion: monopole, dipole (see also Griffiths, Problem 3.28).<\/li><li>DUE:<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Homework #9<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Griffiths Ch.4 Problems: 18, 19, 20, 21.<\/li><li>DUE:<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Homework #10<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Griffiths Ch.5 Problems: 1, 2, 3, 4.<\/li><li>DUE:<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Homework #11<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Griffiths Ch.5 Problems: 9, 14, 15; Example 5.8.<\/li><li>DUE:<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Homework #12<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Griffiths Ch.7 Problems: 1, 2, 5.<\/li><li>DUE:<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Homework #13<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Griffiths Ch.7 Problems: 7,8,10.<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Syllabus PHY350 Professor:&nbsp;Miron Kaufman&nbsp;OFFICE: SI-116, TEL.6872436m.kaufman@csuohio.edu Prerequisites: MTH181, MTH182, MTH281, PHY330LECTURE: M, W 6:00 &#8211; 7:15 PM, SI-147OFFICE HOUR: M, W 3:00 &#8211; 3:50 PM, SI-116REQUIRED BOOKS: D. J. Griffiths: Introduction to ElectrodynamicsKaufman: Electricity and Magnetism Computational Projects We study the laws of Electrostatics and Magnetostatics, the Maxwell equations, and their applications to the physics&mldr;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"1","_relevanssi_noindex_reason":"","footnotes":""},"class_list":["post-52","page","type-page","status-publish","hentry"],"featured_image_src":null,"_links":{"self":[{"href":"https:\/\/academic.csuohio.edu\/kaufman-miron\/wp-json\/wp\/v2\/pages\/52","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/academic.csuohio.edu\/kaufman-miron\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/academic.csuohio.edu\/kaufman-miron\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/academic.csuohio.edu\/kaufman-miron\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/academic.csuohio.edu\/kaufman-miron\/wp-json\/wp\/v2\/comments?post=52"}],"version-history":[{"count":4,"href":"https:\/\/academic.csuohio.edu\/kaufman-miron\/wp-json\/wp\/v2\/pages\/52\/revisions"}],"predecessor-version":[{"id":63,"href":"https:\/\/academic.csuohio.edu\/kaufman-miron\/wp-json\/wp\/v2\/pages\/52\/revisions\/63"}],"wp:attachment":[{"href":"https:\/\/academic.csuohio.edu\/kaufman-miron\/wp-json\/wp\/v2\/media?parent=52"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}