{"id":1387,"date":"2018-03-06T17:48:38","date_gmt":"2018-03-06T09:48:38","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=1387"},"modified":"2018-03-06T17:48:38","modified_gmt":"2018-03-06T09:48:38","slug":"parallel-plate-capacitor-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/parallel-plate-capacitor-problems-and-solutions.htm","title":{"rendered":"Parallel-plate capacitor \u2013 problems and solutions","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1. <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">A <\/span><\/span><a href=\"https:\/\/gurumuda.net\/physics\/parallel-plate-capacitor-problems-and-solutions.htm\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">parallel-plate capacitor<\/span><\/span><\/a> <span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">has <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">initial <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">capacity C, the permittivity of free space <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">is <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">\u03b5<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">, plate area <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">is <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">A, the distance between plates <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">is <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">d. If th<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">e <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">plate area increased by 4 times, the distance between plates <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">becomes 2d and <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">the permittivity of free space <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">is 5<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">\u03b5<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">, what is the final capacity of the parallel-plate capacitor. <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><u><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Known :<\/span><\/span><\/u><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The capacity of capacitor <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">= C<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">T<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">he permittivity of free space<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> = <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">\u03b5<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sub><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">P<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">late area <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">= A<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The <a href=\"https:\/\/gurumuda.net\/physics\/distance-and-displacement-problems-and-solutions.htm\" target=\"_blank\" rel=\"noopener\">distance<\/a> between plates =<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> d <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Wanted:<\/u><\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> Capacity of the capacitor (C)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Solution :<\/u><\/span><\/span><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1388\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-1.png\" alt=\"Parallel-plate capacitor \u2013 problems and solutions 1\" width=\"270\" height=\"124\" \/><\/p>\n<p align=\"justify\"><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">2. <span lang=\"en-US\">The capacitor that has the largest capacity based on the graphic below <\/span><span lang=\"en-US\">is<\/span><span lang=\"en-US\">&#8230;<\/span><\/span><\/span><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-1389\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-2-300x101.png\" alt=\"Parallel-plate capacitor \u2013 problems and solutions 2\" width=\"300\" height=\"101\" srcset=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/sites\/28\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-2-300x101.png 300w, https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/sites\/28\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-2.png 364w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><u><span style=\"font-family: Times New Roman,serif\">Solution :<\/span><\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><b>The formula of the parallel-plate capacitor :<\/b><\/span><\/span><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-1390\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-3-300x73.png\" alt=\"Parallel-plate capacitor \u2013 problems and solutions 3\" width=\"300\" height=\"73\" srcset=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/sites\/28\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-3-300x73.png 300w, https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/sites\/28\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-3.png 430w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p class=\"western\" align=\"justify\"><b><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The capacity of capacitors :<\/span><\/span><\/b><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1391\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-4.png\" alt=\"Parallel-plate capacitor \u2013 problems and solutions 4\" width=\"245\" height=\"205\" \/><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><span lang=\"en-US\">The capacitor that has the largest capacit<\/span><span lang=\"en-US\">y is capacitor <\/span><span style=\"font-family: Times New Roman,serif\"><span lang=\"en-US\">C<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span lang=\"en-US\">3.<\/span><\/span><\/sub><\/span><\/span><\/p>\n<p align=\"justify\"><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">3. <\/span><\/span><\/p>\n<p class=\"western\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Consider the following factors!<br \/>\n(1) Dielectric constant<br \/>\n(2) The <a href=\"https:\/\/gurumuda.net\/physics\/electric-potential.htm\" target=\"_blank\" rel=\"noopener\">potential difference<\/a> between the plates<span lang=\"en-US\"><br \/>\n(3) <\/span><span lang=\"en-US\">Plate t<\/span>hick<br \/>\n(4) The surface area of the plate<br \/>\n(5) The distance between the plates<br \/>\n(6) Amount of <a href=\"https:\/\/gurumuda.net\/physics\/electric-charge.htm\" target=\"_blank\" rel=\"noopener\">electric charge<\/a><br \/>\nFactors affecting the capacities of parallel plate <span lang=\"en-US\">capacitors are &#8230;<\/span><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Solution :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(1), (4) and (5)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">4. <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The capacity comparison of the capacitor 1 and 2 is\u2026 <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1392\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-5.png\" alt=\"Parallel-plate capacitor \u2013 problems and solutions 5\" width=\"230\" height=\"127\" \/>Known :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><b><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Capacitor <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1 :<\/span><\/span><\/b><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Surface area <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">= 2A<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The distance between plates <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">= d<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1<\/span><\/span><\/sub><\/p>\n<p class=\"western\" align=\"justify\"><b><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Capacitor <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">2 :<\/span><\/span><\/b><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Surface area <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">= A<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The distance between plates <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">= 2 d<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1<\/span><\/span><\/sub><\/p>\n<p class=\"western\" align=\"justify\">Wanted: <span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The capacity comparison of the capacitor 1 and 2<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><u><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Solution :<\/span><\/span><\/u><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-1393\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-6-300x245.png\" alt=\"Parallel-plate capacitor \u2013 problems and solutions 6\" width=\"300\" height=\"245\" srcset=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/sites\/28\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-6-300x245.png 300w, https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/sites\/28\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-6.png 334w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p align=\"justify\"><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-size: medium\"><span style=\"font-family: Times New Roman, serif\">5. <\/span><\/span><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2928\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-15.png\" alt=\"Parallel-plate capacitor \u2013 problems and solutions 15\" width=\"278\" height=\"93\" \/><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-size: medium\"><span style=\"font-family: Times New Roman, serif\">Determine comparison of the capacity of <\/span><span style=\"font-family: Times New Roman, serif\">Parallel-plate capacitor I and II.<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman, serif\"><span style=\"font-size: medium\"><u>Solution :<\/u><\/span><\/span><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2929\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-16.png\" alt=\"Parallel-plate capacitor \u2013 problems and solutions 16\" width=\"181\" height=\"123\" \/><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-size: medium\"><span style=\"font-family: Times New Roman, serif\">Comparison of the capacity of <\/span><span style=\"font-family: Times New Roman, serif\">Parallel-plate capacitor I and II :<\/span><\/span><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2930\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-17.png\" alt=\"Parallel-plate capacitor \u2013 problems and solutions 17\" width=\"119\" height=\"165\" \/><\/p>\n<p align=\"justify\"><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif\"><span style=\"font-size: medium\">6. Two parallel-plate capacitors shown in the figure below.<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif\"><span style=\"font-size: medium\">If A<sub>1 <\/sub>= \u00bd A<sub>2<\/sub> and d<sub>2<\/sub> = 3 d<sub>1 <\/sub><span lang=\"en-US\">then <\/span><span lang=\"en-US\">determine <\/span><span lang=\"en-US\">the ratio of capacities of the parallel-<\/span><span lang=\"en-US\">plate capacitor <\/span><span lang=\"en-US\">between the image 2 and the image 1.<\/span><\/span><\/span><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2931\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-18.png\" alt=\"Parallel-plate capacitor \u2013 problems and solutions 18\" width=\"263\" height=\"91\" \/><\/p>\n<p class=\"western\" align=\"justify\"><u><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\"><span style=\"font-size: medium\">Known :<\/span><\/span><\/span><\/u><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif\"><span style=\"font-size: medium\"><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\">Parallel-plate capacitor I :<\/span><\/span><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\"><span style=\"font-size: medium\">A<\/span><\/span><\/span><sub><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\">1<\/span><\/span><\/sub><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\"><span style=\"font-size: medium\"> = 1<\/span><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\"><span style=\"font-size: medium\">d<\/span><\/span><\/span><sub><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\">1<\/span><\/span><\/sub><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\"><span style=\"font-size: medium\"> = 1 <\/span><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif\"><span style=\"font-size: medium\"><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\">Parallel-plate capacitor II :<\/span><\/span><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\"><span style=\"font-size: medium\">A<\/span><\/span><\/span><sub><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\">2<\/span><\/span><\/sub><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\"><span style=\"font-size: medium\"> = 2<\/span><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\"><span style=\"font-size: medium\">d<\/span><\/span><\/span><sub><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\">2<\/span><\/span><\/sub><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\"><span style=\"font-size: medium\"> = 3 <\/span><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\"><span style=\"font-size: medium\"><u>Wanted:<\/u><\/span><\/span><\/span> <span style=\"color: #000000\"><span style=\"font-family: Times new roman, serif\"><span style=\"font-size: medium\"><span lang=\"en-US\">the ratio of capacities of the parallel-plate capacitor between the image 2 and the image 1<\/span><\/span><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><u><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\"><span style=\"font-size: medium\">Solution :<\/span><\/span><\/span><\/u><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif\"><span style=\"font-size: medium\"><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\">Parallel-plate capacitor I :<\/span><\/span><\/span><\/span><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2932\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-19.png\" alt=\"Parallel-plate capacitor \u2013 problems and solutions 19\" width=\"120\" height=\"47\" \/><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"color: #000000\"><span style=\"font-family: Times New Roman, serif\"><span style=\"font-size: medium\">Parallel-plate capacitor II :<\/span><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif\"><span style=\"font-size: medium\"><span style=\"font-family: Times New Roman, serif\"><span lang=\"en-US\">T<\/span><\/span><span style=\"font-family: Times New Roman, serif\"><span lang=\"en-US\">he ratio of capacities of the parallel-<\/span><\/span><span style=\"font-family: Times New Roman, serif\"><span lang=\"en-US\">plate capacitor II and I :<\/span><\/span><\/span><\/span><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2933\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/03\/Parallel-plate-capacitor-\u2013-problems-and-solutions-20.png\" alt=\"Parallel-plate capacitor \u2013 problems and solutions 20\" width=\"83\" height=\"164\" \/><\/p>\n<p align=\"justify\"><!--more--><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>1. A parallel-plate capacitor has initial capacity C, the permittivity of free space is \u03b5o, plate area is A, the distance between plates is d. If the plate area increased by 4 times, the distance between plates becomes 2d and the permittivity of free space is 5\u03b5o, what is the final capacity of the parallel-plate &#8230; <a title=\"Parallel-plate capacitor \u2013 problems and solutions\" class=\"read-more\" href=\"https:\/\/gurumuda.net\/physics\/parallel-plate-capacitor-problems-and-solutions.htm\" aria-label=\"Read more about Parallel-plate capacitor \u2013 problems and solutions\">Read more<\/a><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"Parallel-plate capacitor \u2013 problems and solutions","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"footnotes":""},"categories":[3],"tags":[],"class_list":["post-1387","post","type-post","status-publish","format-standard","hentry","category-solved-problems-in-basic-physics"],"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/1387","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/comments?post=1387"}],"version-history":[{"count":0,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/1387\/revisions"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=1387"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=1387"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=1387"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}