{"id":221959,"date":"2016-05-16T02:00:00","date_gmt":"2016-05-15T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=3a97384e0ae3930beece8f659b6221e1"},"modified":"2016-05-16T02:00:00","modified_gmt":"2016-05-15T23:00:00","slug":"a-rigorous-and-simpler-method-of-image-charges","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=221959","title":{"rendered":"A rigorous and simpler method of image charges"},"content":{"rendered":"<p>The method of image charges relies on the proven uniqueness of the solution of the Laplace<br \/>\ndifferential equation for an electrostatic potential which satisfies some specified boundary<br \/>\nconditions. Granted by that uniqueness, the method of images is rightly described as nothing but<br \/>\nshrewdly guessing which and where image charges are to be placed to solve the given electrostatics<br \/>\nproblem. Here we present an alternative image charges method that is based not on guessing but on<br \/>\nrigorous and simpler theoretical grounds, namely the constant potential inside any conductor and the<br \/>\napplication of powerful geometric symmetries. The aforementioned required uniqueness and, more<br \/>\nimportantly, guessing are therefore both altogether dispensed with. Our two new theoretical<br \/>\nfundaments also allow the image charges method to be introduced in earlier physics courses for<br \/>\nengineering and sciences students, instead of its present and usual introduction in electromagnetic<br \/>\ntheory courses that demand famil&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The method of image charges relies on the proven uniqueness of the solution of the Laplace<br \/>\ndifferential equation for an electrostatic potential which satisfies some specified boundary<br \/>\nconditions. Granted by that uniqueness, the method of images is ri&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-221959","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/221959","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=221959"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/221959\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=221959"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=221959"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=221959"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}