![\"\"](\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/multiflux-1.png\")
<\/p>\nCalculating the Torque of a Magnet<\/p>\n
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Featured above is a current conducting wire with a magnet above it modeled in Comsol. The wire lies along the y axis and creates a magnetic field in the z axis. The magnet then creates a torque to align its poles with the magnetic field. It has the largest torque when orthogonal to the field and the lowest when aligned with the field (T= m(B)(sin\u0398)). This torque can be calculated using the magnetic dipole moment (m). The magnetic dipole moment, m(A m2<\/sup>), is the magnet’s Residual Flux Density, Br (T), multiplied by the magnet’s volume, V (m3<\/sup>), over the magnetic permeability of free space, \u03bco (T m \/ A).<\/p>\n \u03bc= permeability for a vacuum= 1.2566E-6 Using Comsol, we are able to graph this torque and compare it to our calculated value.<\/p>\n As seen above, the torque takes the shape of a sine wave with the maximum being when the magnet is at a 90 degree angle, or is orthogonal to the magnetic field. The maximum of 3.8E-8 also matches our calculated value which confirms the model is accurate.<\/p>\n Comsol model:\u00a0\u00a0Torque of a Magnet<\/a><\/p>\n Source:\u00a0https:\/\/www.kjmagnetics.com\/blog.asp?p=dipole&gad_source=1&gclid=EAIaIQobChMIpum1rvOIhwMVPUL_AR2JawPZEAAYASAAEgJpW_D_BwE<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" Calculating the Torque of a Magnet Featured above is a current conducting wire with a magnet above it modeled in Comsol. The wire lies along the y axis and creates a magnetic field in the z axis. The magnet then creates a torque to align its poles with the magnetic field. It has the largest … Continue reading “Calculating the Torque of a Magnet”<\/span><\/a><\/p>\n","protected":false},"author":6118,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-4669","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages\/4669","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/users\/6118"}],"replies":[{"embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/comments?post=4669"}],"version-history":[{"count":5,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages\/4669\/revisions"}],"predecessor-version":[{"id":4682,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages\/4669\/revisions\/4682"}],"wp:attachment":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/media?parent=4669"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/categories?post=4669"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/tags?post=4669"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\nB field = 1.0079E-4
\nV=(0.01)(0.01)(0.1)m3
\nBr = 5E-5<\/p>\n![\"\"](\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-18-153718.png\")
<\/p>\n![\"\"](\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/torquegraphclear.png\"){kind=spacer}
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