In physics, resistance is the opposition offered to the flow of electricity. Length, on the other hand, is the physical dimensional measurement of extension between two points. The relation between length and resistivity is given by the resistivity formula. Resistance is directly proportional to the length. This means that any change in length of the material will change its value of resistance.<\/p>\n\n\n\n
The resistance and length relation can be mathematically expressed as follows-<\/p>\n\n\n\n Where,<\/p>\n\n\n\n For a given material,\u00a0resistance\u00a0and length formula clearly speaks that the resistance is directly proportional to its length.<\/p>\n\n\n\n R \u221d L<\/p>\n\n\n\n Which implies that-<\/p>\n\n\n\n The resistivity formula can be rearranged to get the relation between resistance and length. In short, It can be expressed along with symbol and\u00a0units of resistance\u00a0and length and symbol as-<\/p>\n\n\n\n Calculate the value of resistance of a 2-meter-long wire with a cross-sectional area 1.7\u00d710-5<\/sup>m2<\/sup> and resistivity 1.86\u00d710-7<\/sup>Ohm\/meter.<\/p>\n\n\n\n Given,<\/p>\n\n\n\n Length of the wire L = 2 m<\/p>\n\n\n\n Cross-sectional area A = 1.7\u00d710-5<\/sup>m2<\/sup><\/p>\n\n\n\n Resistivity ? = 1.86\u00d710-7<\/sup>Ohm\/meter.<\/p>\n\n\n\n Substituting it in the resistance and length formula got by rearranging resistivity formula we get-<\/p>\n\n\n\n R = \u03c1 L A<\/p>\n\n\n\n \u21d2 R = 1.86 \u00d7 10 \u2212 7<\/sup> \u00d7 2.0 \/1.7 \u00d7 10 \u2212 5<\/sup><\/p>\n\n\n\n \u21d2 R = 2.188 \u00d7 10 \u2212 2<\/sup><\/p>\n\n\n\n Thus, the resistance of the wire is 2.188\u00d710-2<\/sup>ohms.<\/p>\n","protected":false},"excerpt":{"rendered":" In physics, resistance is the opposition offered to the flow of electricity. Length, on the other hand, is the physical dimensional measurement of extension between two points. The relation between length and resistivity is given by the resistivity formula. Resistance is directly proportional to the length. This means that any change in length of the material […]<\/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\/3106"}],"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=3106"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/3106\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=3106"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=3106"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=3106"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}R=\u03c1LA<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n Resistance And Length Relation<\/h2>\n\n\n\n
Resistance And Length Formula<\/h2>\n\n\n\n
<\/td> Formula<\/strong><\/td> Symbol<\/strong><\/td> Unit<\/strong><\/td><\/tr> Resistance<\/td> <\/td> R<\/td> Ohm<\/td><\/tr> Length<\/td> <\/td> L<\/td> Meter<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n Resistance and length of wire<\/h2>\n\n\n\n