In response to Professor Magnes’ primary question, whether I will be modelling the E\/B fields or the forces acting on moving bodies, I intend to do both; in particular I have the opportunity to illustrate the Lorentz covariance if I show the forces acting on the magnet and conductor. As covariance is a bit more challenging a concept than invariance I think this illustration and discussion will be a good teaching tool.<\/p>\n
I am also trying to find a way to illustrate the changes in the electromagnetic field one would observe as they moved relative to various objects. Mathematica’s animate command should be aptly suited for this as I could use the t-parameter as a scalable velocity term.<\/p>\n
My first and most important goal will be to do a brief write up of the EM inspiration for relativity and accompany this discussion with an illustration of Einstein’s magnet and conductor thought experiment. I intend to have these completed by this upcoming Friday (4\/18).<\/p>\n
<\/p>\n
I will spend my weekend looking for the more interesting examples of field transformations I can incorporate into my project and intend to have them animated in my preliminary upload on Tuesday.<\/p>\n
<\/p>\n
I have also come up with a few arbitrarily designed plots of the affect of length contraction on observed charge density which I also intend to have polished up a little bit and incorporated into my preliminary upload as well.<\/p>\n","protected":false},"excerpt":{"rendered":"
In response to Professor Magnes’ primary question, whether I will be modelling the E\/B fields or the forces acting on moving bodies, I intend to do both; in particular I have the opportunity to illustrate the Lorentz covariance if I show the forces acting on the magnet and conductor. As covariance is a bit more […]<\/p>\n","protected":false},"author":355,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4101,54061],"tags":[],"class_list":["post-3004","post","type-post","status-publish","format-standard","hentry","category-advanced-em","category-karl"],"_links":{"self":[{"href":"https:\/\/pages.vassar.edu\/magnes\/wp-json\/wp\/v2\/posts\/3004","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.vassar.edu\/magnes\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pages.vassar.edu\/magnes\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pages.vassar.edu\/magnes\/wp-json\/wp\/v2\/users\/355"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.vassar.edu\/magnes\/wp-json\/wp\/v2\/comments?post=3004"}],"version-history":[{"count":2,"href":"https:\/\/pages.vassar.edu\/magnes\/wp-json\/wp\/v2\/posts\/3004\/revisions"}],"predecessor-version":[{"id":3044,"href":"https:\/\/pages.vassar.edu\/magnes\/wp-json\/wp\/v2\/posts\/3004\/revisions\/3044"}],"wp:attachment":[{"href":"https:\/\/pages.vassar.edu\/magnes\/wp-json\/wp\/v2\/media?parent=3004"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pages.vassar.edu\/magnes\/wp-json\/wp\/v2\/categories?post=3004"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pages.vassar.edu\/magnes\/wp-json\/wp\/v2\/tags?post=3004"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}