. The Bell System technical journal . spectively a leakage field from 2 to I, and a licld concentrated at theair gap between these surfaces. These tubes of induction are analogous to the ( uiicnts in an clcctrii a!network, and the applied magnetomoti\-e fori e is analogous to theapplied \oltage pioducing these currents. The rehictances betweenequipotential surfaces are analogous to the resistances of the electricalnetwork, and the potential differences between these surfaces are analo-gous to the voltage drops in the electrical resistances. The field relationships in\ohed may therefore be repr
. The Bell System technical journal . spectively a leakage field from 2 to I, and a licld concentrated at theair gap between these surfaces. These tubes of induction are analogous to the ( uiicnts in an clcctrii a!network, and the applied magnetomoti\-e fori e is analogous to theapplied \oltage pioducing these currents. The rehictances betweenequipotential surfaces are analogous to the resistances of the electricalnetwork, and the potential differences between these surfaces are analo-gous to the voltage drops in the electrical resistances. The field relationships in\ohed may therefore be represented as inFig. 3(b), in which the diagram of a resistance network indicates how thecomponent reluctances determine the relation between the applied mag-netomotive force J and the resultant flux ^. The potential differencebetween the points 1 and 5 at the ends of the coil is J less ^c where(Re is the reluctance of the core. This net potential l)alances the drop^Lc (Rlc across the leakage path and the drop through the armature path,. !♦ 3-=477NI (a) MAGNETIC FIELD SCHEMATIC VLA ^A ytcl y= 477- NI (51 LA -\/V\r «LC ■A^ ■A/VV (b) MAGNETIC CIRCUITFig. .3 — Magnetic circuit rei)ieseiit;tt ion of magnetic field relations. 34 THE BELL SYSTEM TECHNICAL JOURNAL, JANUARY 1954 comprising the drop ^^(R^ through the iron part of this path in serieswith that across the two parallel paths followed by (Pla and <pa ■ Obviously, this pattern can be elaborated and made more exact bymore detailed consideration, particularly with respect to the leakagefield across the coil, which is not wholly confined to that between itsends. In general, the field may be divided to any desired degree of refine-ment into tubes of induction, which may then be treated as a , in principle, magnetic circuit representation may be used toevaluate the magnetization relations to any desired degree of accuracy. Determination of the magnetization relations is thus reduced to theevaluation of the r
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