A Coaxial Cable
\nA Coaxial Cable. A small solid conductor with radius a is supported by insulating. nonmagnetic disks on the axis of a thinwalled tube with inner radius b. The inner and outer conductors carry equal currents i in opposite directions.<\/p>\n
(a) Use Ampere’s law to find the magnetic field at any point in the volume between the conductors.<\/p>\n
(b) Write the expression fur the flux diPB through a narrow strip of length I parallel to the axis, of width dr, at a distance T from the axis of the cable and lying in a plane containing the axis.<\/p>\n
(c) Integrate your expression from part (b) over the volume between the two conductors to find the total flux produced by a current i in the central conductor.<\/p>\n
(d) Show that the inductance of a lenglh I of the cable is<\/p>\n
(e) Use Eq. (30.9) to calculate the enetgy stored in the magnetic field for a length l of thecable<\/p>\n","protected":false},"excerpt":{"rendered":"
A Coaxial Cable A Coaxial Cable. A small solid conductor with radius a is supported by insulating. nonmagnetic disks on the axis of a thinwalled tube with inner radius b. The inner and outer conductors carry equal currents i in Read More …<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-19597","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/19597","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/comments?post=19597"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/19597\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=19597"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=19597"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=19597"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}