L'auto-inductance mutuelle et de conducteurs linéaires . Utilisation de la lawof Biot et Grigy pour obtenir la self-inductance d'un circuit de non fermé est parfaitement légitime. J'ai également montré comment, par l'utilisation ofcertain moyenne arithmétique distances en plus meandistances géométrique, l'exactitude de certaines des formules peut être augmenté. Les démonstrations suivantes dans le champ magnétique est supposé tobe instantaneous ; en d'autres termes, les dimensions du circuit areassumed à être assez petit et la fréquence du courant faible 302 Bulletin du Bureau of Standards. [ 4, n° 2. enougli afin

• Contributeur: The Reading Room / Alamy Banque D'Images
• ID de l’image: 2AM5C9G
• Taille du fichier: 7,1 MB (146,6 KB Téléchargement compressé)
• Autorisations: Modèle - non | Propriété - non
• Dimensions: 1883 x 1327 px | 31,9 x 22,5 cm | 12,6 x 8,8 inches | 150dpi

Informations supplémentaires

Cette image appartient au domaine public, ce qui signifie que le droit d’auteur a expiré ou que le titulaire du droit d’auteur a renoncé à ses droits. Les frais facturés par Alamy couvrent l’accès à la copie haute résolution de l’image.

Cette image peut avoir des imperfections car il s’agit d’une image historique ou de reportage.

The self and mutual-inductance of linear conductors . use of the lawof Biot and Savart to obtain the self-inductance of an unclosed cir-cuit is perfectly legitimate. I have also shown how, by the use ofcertain arithmetical mean distances in addition to geometrical meandistances, the accuracy of some of the formulae can be increased. In the following demonstrations the magnetic field is assumed tobe instantaneous; in other words, the dimensions of the circuit areassumed to be small enough and the frequency of the current slow 302 Bulletin of the Bureau of Standards. [ Vol. 4, No. 2. enougli so that it is not necessary to take account of the finitevelocity of propagation of the field. This may be done even whenthe field is integrated to infinity, as the distant magnetic field iscanceled when two or more open circuits are combined into a closedcircuit.^ 1. SELF-INDUCTANCE OF A STRAIGHT CYLINDRICAL WIRE. lyct AB be a length / of a cylindrical wire of radius p traversedby current i distributed uniformly over the cross section of the wire. dxD. Fig. 1. The magnetic force at P normal to the paper due to an element ofthe cylinder of length dy is, . dy t -^ sin 6:=. i a dy _a-Y{y-Vf-i It is easy to show ^ that the force at any point outside a rightcylinder is the same as though the current were concentrated at the ^ For a discussion of the self-inductance of an open circuit closed by displacementcurrents in which the finite velocity of the field is taken into account see a recentpaper by K. Ogura and C. P. Steinmetz, Phys. Rev., 25, p. 184, Sept., 1907. ^Minchin, Irondon Electrician, Sept. 27, 1895. M. Wien, Wied. Annal. 53, p. 928, 1894, gives a number of formulae for the selfand mutual inductance of linear conductors. Rosa. Inductance of Linear Conductors. 303 axis of the wire. The force at P due to the whole length of thecylinder carrying unit current is then, *^ a dy I— b b H- i The number of lines of magnetic force dJV^ within the strip CD, of breadth dx^ is found by

Recherche dans la banque de photos par tags

• bookcentury1900
• bookdecade1900
• librury
• livresubjectcondensedmatter