Mutual Inductance Coefficient Research Articles

A Method for the Determination of Coefficients of Mutual Induction

A Method for the Determination of Coefficients of Mutual Induction

On the calculation of the coefficient of mutual induction a circle and a coaxial helix, and of the electromagnet force between a helical current and a uniform coaxial circular cylindrical current sheet

1. In measuring electrical resistance by the method of Lorenz have to determine the coefficient of mutual induction of a helix wire and the circumference of a rotating circular disc placed coaxially with it, the mean planes of the helix and the disc being coincident. In a paper presented to the Physical Society November, 1888, I gave a method of calculating this coefficient; by subsequent consideration of the problem in connection with the Lorenz apparatus recently made for the McGill University, Montrea has led me both to a simplification of the method previously described, and also to a more general solution. 2. If M is the coefficient of mutual induction of any two curve we have M = ∫∫cos ϵ / r dsds' , where r = the distance between two elements ds, ds' ; and ϵ = the angle between these elements.

List of Papers read the Society, December 9, 1897

I. “ On the Densities of Carbonic Oxide, Carbonic Anhydride, and Nitrous Oxide.” By L ord R ayleigh, F.R.S. II. “ On the Application of Harmonic Analysis to the Dynamical Theory of the Tides. Part II. On the General Integration of Laplace’s Dynamical Equations.” By S. S. H ough, M.A., Fellow of St. John’s College, and Isaac Newton Student in the University of Cambridge. Communicated by Professor G. H. D arwin, F.R.S. III. “ A Note on some further Determinations of the Dielectric Constants of Organic Bodies and Electrolytes at very Low Temperatures.” By J ames D ewar, M.A., LL.D., F.R.S., Fullerian Professor of Chemistry in the Royal Institution, and J. A. F leming, M.A., D.Sc., F.R.S., Professor of Electrical Engineering in University College, London. IV. “ On Methods of making Magnets independent of Changes of Temperature; and some Experiments upon Negative Temperature Coefficients in Magnets.” By J. Reginald A shworth. Communicated by Arthur Schuster, F.R.S. V. “ The Electric Conductivity of Nitric Acid.” By V. H. V eley, M.A., F.R.S., and J. J. Manley, Daubeny Curator of the Magdalen College Laboratory, Oxford. VI. “ On the Calculation of the Coefficient of Mutual Induction of a Circle and a Coaxial Helix, and of the Electromagnetic Force between a Helical Current and a uniform Coaxial Circular Cylindrical Current Sheet.” By J. V iriamu J ones, F.R.S.

On the calculation of the coefficient of mutual induction of a circle and a coaxial helix, and of the electromagnetic force between a helical current and a uniform coaxial circular cylindrical current sheet

1. Let M Θ be the coefficient of mutual induction of a circle and a portion of a coaxial helix, beginning in the plane of the circle and of helical angle Θ. Then if M is the coefficient of mutual induction of the circle, and any portion of the helix for which the extreme points are determined by helical angles Θ 1 and Θ 2 , we have M=M Θ 2 –M Θ 1 . It will therefore be sufficient to show how to calculate M Θ for all values of Θ.

Societies and Academies

Societies and Academies

VI. On the calculation of the coefficient of mutual induction of a circle and a coaxal helix

VI. <i>On the calculation of the coefficient of mutual induction of a circle and a coaxal helix</i>

On the Calculation of the Coefficient of Mutual Induction of a Circle and a Coaxal Helix

On the Calculation of the Coefficient of Mutual Induction of a Circle and a Coaxal Helix

XXVII. On some methods of determining and comparing coefficients of self-induction and mutual induction

XXVII. <i>On some methods of determining and comparing coefficients of self-induction and mutual induction</i>

XLVIII. On the determination of coefficients of mutual induction by means of the ballistic galvanometer and earth-inductor

XLVIII. <i>On the determination of coefficients of mutual induction by means of the ballistic galvanometer and earth-inductor</i>

XIV. Note on a method of determining coefficients of mutual induction

XIV. <i>Note on a method of determining coefficients of mutual induction</i>

Remarks on “Modes of measuring the coefficients of self and mutual induction”

Remarks on “Modes of measuring the coefficients of self and mutual induction”

Modes of measuring the coefficients of self and mutual induction

Modes of measuring the coefficients of self and mutual induction

Note on a Method of Determining Coefficients of Mutual Induction

Note on a Method of Determining Coefficients of Mutual Induction

On the Determination of Coefficients of Mutual Induction by means of the Ballistic Galvanometer and Earth-Inductor

On the Determination of Coefficients of Mutual Induction by means of the Ballistic Galvanometer and Earth-Inductor

Scientific Serials

Annalen der Physik und Chemie, No. 12, December 1885.—J. Fink, on the influence of pressure on the electric resistance of electrolytes. Cailletet's apparatus was used for producing compression, Kohlrausch's induction apparatus for the electric measurements. A solution of hydrochloric acid (5.02 per cent.), having a resistance of 7.490 Siemens' units at 1 atmo., fell to 7.335 at 200, and to 7.126 at 500 atmos. A weaker solution (0.98 per cent.) showed a diminution of 7.39 per cent, in its resistance at 500 atmos. A similar solution of zincic sulphate showed a diminution of 11.74 per cent. The diminution is proportional up to 300 atmos.—E. Edlund, on the transition.—resistance in the voltaic arc. The conclusion is against the existence of such a resistance.—K. Wesendonck, on the fluorescence of naphthalin-red.—H. W. Vogel, on the relation between absorption by colouring matters and their sensitising action on bromide of silver.—G. Kötschau, studies on fluid motions. Some very extraordinary figures are produced by careful introduction of a coloured liquid into an uncoloured one.—F. Himstedt, a determination of the ohm. This paper describes the method, depending on a knowledge of the coefficient of mutual induction of two coils, which has already been discussed by Lord Rayleigh, and which is similar to that of Rolti. The final result gives as equivalent to the ohm a column of mercury of 1 square milimetre section and 105.98 centimetres length.—W. B. Brace, on the magnetic rotation of the plane of polarisation, and some special cases of refraction. It is shown that there may he in a calc-spar crystal three rays which suffer no double refraction. Experiments are also described concerning prisms of heavy glass in a magnetic field.—G. Stern, position of the commutator in electro-dynamic machines. A discussion of Clausius' formulæ with respect to the relation of the current to the angle of lead.—E. Mach and J. Wenzel, a contribution to the mechanics of explosions.—K. L. Bauer, apparatus for demonstrating that electricity resides only on the surface of a conductor. This is a modification of Biot's apparatus, consisting of two concentric hemispheres, and convenient means of insulating and discharging.