{"id":3119,"date":"2022-05-07T07:05:39","date_gmt":"2022-05-07T07:05:39","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=3119"},"modified":"2022-05-07T07:05:39","modified_gmt":"2022-05-07T07:05:39","slug":"relation-between-electric-field-and-electric-potential","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/05\/07\/relation-between-electric-field-and-electric-potential\/","title":{"rendered":"Relation Between Electric Field And Electric Potential"},"content":{"rendered":"\n<p>The electric field exists if and only if there is a electric potential difference. If the charge is uniform at all points, however high the electric potential is, there will not be any electric field. Thus, the relation between electric field and electric potential can be generally expressed as \u2013&nbsp;<strong>\u201cElectric field is the negative space derivative of electric potential.\u201d<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Electric Field And Electric Potential<\/h2>\n\n\n\n<p>The relation between Electric field and\u00a0electric potential\u00a0is mathematically given by-<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td>E=\u2212dV dx<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Where,<\/p>\n\n\n\n<p>E is the Electric field.<\/p>\n\n\n\n<p>V is the electric potential.<\/p>\n\n\n\n<p>dx is the path length.<\/p>\n\n\n\n<p>\u2013 Sign is the electric gradient<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Direction of Electric Field<\/h3>\n\n\n\n<ul><li>If the field is directed from lower potential to higher then the direction is taken to be positive.<\/li><li>If the field is directed from higher potential to lower potential then the direction is taken as negative.<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Electric Field And Electric Potential Relation<\/h2>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td><strong>Test charge<\/strong><\/td><td><strong>Formula<\/strong><\/td><td><strong>Electric gradient<\/strong><\/td><\/tr><tr><td><strong>Positive<\/strong><\/td><td>wq<sub>0<\/sub>=\u222b<sup>a<\/sup><sub>b<\/sub>E\u2192.dl\u2192=V<sub>b<\/sub>\u2212V<sub>a<\/sub><\/td><td>Higher as you go closer towards test charge.<\/td><\/tr><tr><td><strong>Negative<\/strong><\/td><td>wq<sub>0<\/sub>=\u222b<sup>a<\/sup><sub>b<\/sub>E\u2192.dl\u2192=V<sub>a<\/sub> \u2212 V<sub>b<\/sub><\/td><td>Higher as you go move away from test charge.<\/td><\/tr><tr><td><strong>Equipotential surfac<\/strong><\/td><td>wq0=\u222b<sup>a<\/sup><sub>b<\/sub>E\u2192.dl\u2192=0<\/td><td>Electric potential is perpendicular to Electric field lines.<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The electric field exists if and only if there is a electric potential difference. If the charge is uniform at all points, however high the electric potential is, there will not be any electric field. Thus, the relation between electric field and electric potential can be generally expressed as \u2013&nbsp;\u201cElectric field is the negative space [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[191],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/3119"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=3119"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/3119\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=3119"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=3119"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=3119"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}