{"id":1561,"date":"2022-12-16T10:00:36","date_gmt":"2022-12-16T04:30:36","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=1561"},"modified":"2022-12-17T09:47:31","modified_gmt":"2022-12-17T04:17:31","slug":"resistivity","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/resistivity\/","title":{"rendered":"What Is Resistivity"},"content":{"rendered":"
\\( R\\propto l \\) What Is Resistivity\u00a0 where \u03c1 (rho) is called resistivity of the material of conductor. If, \u00a0 \u00a0 \u00a0 \u00a0l = 1 m and a = 1 m2 Then \u00a0 \u00a0 \u00a0 \u00a0R = \u03c1 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 …. (ii) Thus, if we take 1 metre long piece of a substance having […]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","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":[404],"tags":[405,443,441,442],"yoast_head":"\n
\n\\( R\\propto \\frac{1}{a} \\)
\n\\( \\text{So, }R\\propto \\frac{\\ell }{a} \\)
\n\\( \\text{or }R=\\rho \\times \\frac{\\ell }{a}\\text{ }………\\text{ (i)} \\)
\nwhere \u03c1 (rho) is called resistivity of the material of conductor.
\nIf, \u00a0 \u00a0 \u00a0 \u00a0l = 1 m and a = 1 m2<\/sup>
\nThen \u00a0 \u00a0 \u00a0 \u00a0R = \u03c1 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 …. (ii)
\nThus, if we take 1 metre long piece of a substance having a cross-sectional area of 1 meter2<\/sup>, then the resistance of that piece of the substance is called its resistivity.
\nResistivity of a substance can also be defined as follows
\nThe resistance offered by a cube of a substance having side of 1 metre, when current flows perpendicular to the opposite faces, is called its resistivity.
\nUnits of resistivity<\/strong>
\nFrom equation (i), we can write
\n\\( \\rho =\\frac{R\\times a}{\\ell } \\)
\nSo, SI unit of resistivity (\u03c1)
\n\\( =\\frac{\\text{ohm}\\,\\times \\,{{\\text{m}}^{\\text{2}}}}{\\text{m}}=\\text{ohm}\\text{.m} \\)<\/p>\nClassification of Materials on Basis of Resistivity<\/strong><\/h2>\n
\n
\nFor example, copper, gold, silver, aluminium and electrolytic solutions are conductors.<\/li>\n