Abstract
Some general features of several elementary methods of determining the magnetic field of a current configuration are examined. Ampere's law, the circuital form of Maxwell's equation and a derived relation between the magnetic field and the vector curl of the current, are each applied to the simple problem of computing the magnetic field due to a thin current dipole in a conducting medium. The significance of closed current paths and the conditions under which the return currents in the medium must be included in the computation are discussed for the dc case. The conclusions concerning dc currents are then considered in relation to ac problems and the use of the vector potential in antenna problems. These considerations indicate why only antenna currents enter into the computation of vector potential and the nature of the “thick antenna” problem.
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