Approximation of the magnetic field of a circular loop of wire.

dc.advisorJorge Ballist
dc.collegelasen_US
dc.contributor.authorGrantham, Kevin Kale.
dc.date.accessioned2012-04-18T21:06:07Z
dc.date.available2012-04-18T21:06:07Z
dc.date.created2006en_US
dc.date.issued2012-04-18
dc.departmentphysical sciencesen_US
dc.descriptionii, 65 leavesen_US
dc.description.abstractFor a current-carrying, circular loop of wire, there is no known method of solving the Biot-Savart law for the exact magnetic field at all points in space. By using a many-sided, regular, polygonal loop to approximate a circular loop, it is possible to solve the Biot-Savart law for the polygon and find an approximate value of the magnetic field for a circular loop. This method is checked for validity against the exact solution for the axial field of a circular loop and two known approximate solutions. The results from the polygonal approximation are found to be within acceptable elTor limits.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/929
dc.language.isoen_USen_US
dc.subjectMagnetic fields.en_US
dc.subjectPolygons.en_US
dc.titleApproximation of the magnetic field of a circular loop of wire.en_US
dc.typeThesisen_US

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