Thesis (Ph. D.)--University of Wisconsin--Madison, 1953. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 64-68).

Warren Weaver's Thesis (Ph. D.)--University of Wisconsin, 1922. / Without thesis note.

This thesis discusses both qualitative and quantitative characteristics of the horizontal electromagnetic field produced by the flow of eddy currents in a conductor. The exciting field is supplied by a large horizontal loop carrying an alternating current, and the secondary horizontal field is measured by detecting the voltage induced in a small vertical search coil in the plane of the loop. Determinations of both the ratio of the horizontal field to the vertical, and the phase angle between them are made at various points along a diameter directly above the centre line of each conductor. Corrections to eliminate extraneous voltages induced in all parts of the measuring apparatus are applied to these measurements. The corrected values are then plotted as profiles of relative amplitude and phase for several positions of each conductor. The shapes of these curves and possible mathematical expressions relating them to the physical dimensions and position of the conductor are discussed, and some approximations of the configuration of surface current flow are suggested. The present results are compared with those obtained by previous experimenters and certain changes of fundamental concepts are suggested. Possible application of these results to qualitative interpretation of measurements taken over actual ore-bodies, and methods of accurate determination of size and depth of the bodies are proposed. / Science, Faculty of / Physics and Astronomy, Department of / Graduate

It is assumed that charged, spin-½, matter distributions can be described in terms of a Dirac spinor field interacting with the electromagnetic field and a scalar gravitational field. The field equations and the energy-momentum tensor are found from an action principle. The fields are not quantized. The field equations are examined and various limiting forms discussed. This thesis deals particularly with the time-independent spherically-symmetric case. Solutions are found for the exterior region of a charged gravitating sphere. The behaviour of these solutions depend on the value of the charge-mass ratio. When this ratio has the value (4πG)½, where G is the gravitational constant, the entire system can be solved analytically. The ensuing solution, called the Weyl-Majumdar solution, is obtained and discussed. When the charge-mass ratio is smaller than (4πG)½, normalised solutions are found which yield electrostatic and gravitational potentials singular at the origin. The matter density is well-behaved everywhere. Normalised solutions were not found for larger charge-mass ratios. The significance of the solutions, and the accuracy of the numerical technique are discussed. Alternative Lagrangian densities are considered which may yield non-singular solutions. / Science, Faculty of / Physics and Astronomy, Department of / Graduate

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