{"id":152625,"date":"2022-03-23T09:32:00","date_gmt":"2022-03-23T04:02:00","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=152625"},"modified":"2024-11-20T16:31:00","modified_gmt":"2024-11-20T11:01:00","slug":"blog-iit-jee-dimensional-formula-of-electric-field","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensional-formula-of-electric-field\/","title":{"rendered":"Dimensional Formula of Electric Field"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensional-formula-of-electric-field\/#A_Brief_Outline\" title=\"A Brief Outline\">A Brief Outline<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensional-formula-of-electric-field\/#Important_Concepts\" title=\"Important Concepts\">Important Concepts<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensional-formula-of-electric-field\/#Derivation_of_the_Dimensional_Formula_of_Electric_Field\" title=\"Derivation of the Dimensional Formula of Electric Field\">Derivation of the Dimensional Formula of Electric Field<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensional-formula-of-electric-field\/#JEE_Foundation_Class_for_10\" title=\"JEE Foundation Class for 10\">JEE Foundation Class for 10<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensional-formula-of-electric-field\/#Significance_of_Dimensional_formula_of_Electric_field_in_IIT_JEE_exam\" title=\"Significance of Dimensional formula of Electric field in IIT JEE exam\">Significance of Dimensional formula of Electric field in IIT JEE exam<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensional-formula-of-electric-field\/#Dimensional_Formula_of_Electric_Field_FAQs\" title=\"Dimensional Formula of Electric Field FAQs\">Dimensional Formula of Electric Field FAQs<\/a><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensional-formula-of-electric-field\/#How_does_an_electric_field_appear\" title=\"How does an electric field appear?\">How does an electric field appear?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensional-formula-of-electric-field\/#What_is_the_electric_fields_direction\" title=\"What is the electric field&#039;s direction?\">What is the electric field&#039;s direction?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensional-formula-of-electric-field\/#What_is_the_definition_of_the_Electric_Field\" title=\"What is the definition of the Electric Field?\">What is the definition of the Electric Field?<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>As electric field intensity is the force per unit coulomb, the dimensional formula for electric field intensity may be derived by combining the dimensions of force and charge.<strong> E=Fq,<\/strong> where E is the electric field strength, F is the force applied to the charge, and q is the charge. So, we&#8217;ll split the dimensions of force and charge to get a dimension of electric field intensity.<\/p>\n<p>Because electric field intensity is a derived quantity, its dimension is derived from that of base SI units. The fundamental units are also known as S.I. base units. It is recommended to indicate the dimensions of length, time, and mass in a physical quantity even if their power is zero.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"A_Brief_Outline\"><\/span>A Brief Outline<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The zone around a charged system in which it can exert force on some other charged particle is known as the electric field. Electric field lines are used to illustrate it. Electric lines of forces are another name for these lines.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Important_Concepts\"><\/span>Important Concepts<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The electric field lines are formed in such a way that the tangent at a place corresponds to the force direction at that point. The intensity of the electric field strength is related to the density of these lines. No two intersect because the force might have two different directions at that point if they did.<\/p>\n<p>The dimensional formula of the electric field is specified as,<\/p>\n<p style=\"text-align: center;\"><strong>M<sup>1<\/sup> L<sup>1<\/sup> I<sup>-1<\/sup> T<sup>-3<\/sup><\/strong><\/p>\n<p>M = Mass, I = Current, L = Length, T = Time<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-9\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/08\/foundation-class-6.png\" alt=\"JEE Online Course Class 9\" width=\"450\" height=\"300\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-9\" target=\"_blank\" rel=\"noopener\"><button><strong>Enroll now to JEE Online Course Class 9 Preparation Course<\/strong><\/button><\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Derivation_of_the_Dimensional_Formula_of_Electric_Field\"><\/span>Derivation of the Dimensional Formula of Electric Field<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"text-align: left;\"><strong>Electric Field (E) = Force \u00d7 [Charge]<sup>-1 <\/sup>\u2013 (1)<\/strong><\/p>\n<p>Meanwhile, electric charge = electric current \u00d7 time<\/p>\n<p>\u2234 The dimensional formula of electric charge = [I<sup>1<\/sup> T<sup>1<\/sup>] \u2013 (2)<\/p>\n<p><strong>Now, Force (F) = Mass \u00d7 Acceleration = M \u00d7 [LT<sup>-2<\/sup>]<\/strong><\/p>\n<p>\u2234 The dimensional formula of force = M<sup>1<\/sup> L<sup>1<\/sup> T<sup>-2<\/sup> &#8211; (3)<\/p>\n<p>On replacing equation (2) and (3) in equation (1),<\/p>\n<p style=\"text-align: left;\"><strong>Electric Field = Force \u00d7 [Charge]<sup>-1<\/sup><\/strong><\/p>\n<p style=\"text-align: left;\">Or, E = [M<sup>1<\/sup> L<sup>1<\/sup> T<sup>-2<\/sup>] \u00d7 [I<sup>1<\/sup> T<sup>1<\/sup>]<sup>-1<\/sup> = [M<sup>1<\/sup> L<sup>1<\/sup> T<sup>-3<\/sup> I<sup>-1<\/sup>].<\/p>\n<p style=\"text-align: left;\">Thus, the Electric Field is dimensionally signified as [M<sup>1<\/sup> L<sup>1<\/sup> I<sup>-1<\/sup> T<sup>-3<\/sup>].<\/p>\n<div class=\"card\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-10\"><br \/>\n<noscript><img style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/09\/Screenshot-2024-08-28-114053-e1724825703440.jpg\" alt=\"JEE class 10 online Course\" data-eio=\"l\" \/><\/noscript><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-10\"><img loading=\"lazy\" class=\" lazyloaded alignnone\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/09\/Screenshot-2024-08-28-114053-e1724825703440.jpg\" alt=\"jee-foundation-course-for-class-10\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/09\/Screenshot-2024-08-28-114053-e1724825703440.jpg\" \/><\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"JEE_Foundation_Class_for_10\"><\/span>JEE Foundation Class for 10<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: center;\">JEE Foundation Class for 10 enhances critical thinking and problem-solving skills through engaging activities and advanced learning techniques, ensuring academic excellence.<br \/>\n<a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-10\"><button><strong>JEE Foundation Class for 10<\/strong><\/button><\/a><\/p>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Significance_of_Dimensional_formula_of_Electric_field_in_IIT_JEE_exam\"><\/span>Significance of Dimensional formula of Electric field in IIT JEE exam<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>It is critical to take a holistic approach to every facet of a subject&#8217;s chapter. It will not only adequately prepare you for the exam, but will also clarify your understanding of each topic. It will help you in <strong>JEE preparation<\/strong> and answer conceptual problems in the exam. The number of questions from the chapter unit and dimensions would be one or two, with a weightage of roughly four marks.<\/p>\n<p>Do you want to be an IITian? Well, here is the good news. <a href=\"https:\/\/infinitylearn.com\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff;\"><strong>Infinity Learn<\/strong><\/span><\/a> has a track record of producing 20% IITians every year. Join our specially curated <a href=\"https:\/\/infinitylearn.com\/jee\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff;\"><strong>JEE 2025 Course<\/strong><\/span><\/a> to make your IIT dream come true.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Dimensional_Formula_of_Electric_Field_FAQs\"><\/span>Dimensional Formula of Electric Field FAQs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"How_does_an_electric_field_appear\"><\/span>How does an electric field appear?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tWe may visualize an electric field by sketching electric lines of force, which show the electric field's magnitude, strength, and region of influence.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"What_is_the_electric_fields_direction\"><\/span>What is the electric field&#039;s direction?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tWhen a unit positive charge is placed in an electric field, it begins to move in the direction of the electric field due to electrostatic force.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"What_is_the_definition_of_the_Electric_Field\"><\/span>What is the definition of the Electric Field?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tAn electric field is a vector point that exists everywhere. It describes the force that acts on a charge in the presence of an electric field.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How does an electric field appear?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"We may visualize an electric field by sketching electric lines of force, which show the electric field's magnitude, strength, and region of influence.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the electric field's direction?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"When a unit positive charge is placed in an electric field, it begins to move in the direction of the electric field due to electrostatic force.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the definition of the Electric Field?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"An electric field is a vector point that exists everywhere. It describes the force that acts on a charge in the presence of an electric field.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>As electric field intensity is the force per unit coulomb, the dimensional formula for electric field intensity may be derived [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Dimensional Formula of Electric Field","_yoast_wpseo_title":"Dimensional Formula of Electric Field - Derivation, (M1 L1 i-1 T-3)","_yoast_wpseo_metadesc":"The dimensional formula of Electric Field is Electric Field (E) = Force \u00d7 [Charge]-1 (1), where electric charge = electric current \u00d7 time.","custom_permalink":"blog\/iit-jee\/dimensional-formula-of-electric-field\/"},"categories":[53,57],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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