A Treatise on Bessel Functions and Their Applications to Physics
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A Treatise on Bessel Functions and Their Applications to Physics

A Treatise on Bessel Functions and Their Applications to Physics


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1895 Excerpt: ... point of the electrode is V =--I sin (Xn) Jo (Xr)--. 14 IT J A, The sink or sinks may be supposed at a very great distance so that they do not disturb the flow in the neighbourhood of this disk-shaped source. The rate of flow from the disk to the medium is--kdV/dz per unit of area at each point of the electrode, and is of course in the direction of the normal. At the edge by 13 the flow will be infinite if the disk is a very thin oblate ellipsoid of revolution, as it is here supposed to be; but in this, and in any actual case, the total flow from the vicinity of the edge can obviously be made as small as we please in comparison with the total flow elsewhere by increasing the radius of the disk. The total flow from the disk to the medium is thus Thus the amount supplied by each side of the disk per unit time is 4cJcrlf and we have S C=8M I5 If the disk is laid on the bounding surface of a conductor the flow will take place only from one face to the conducting mass, and S has only half of its value in the other case. Then c =--16 In this case the condition dV/dn = 0 holds all over the surface except at the disk-electrode, and of course 2 holds within the conductor. At any point of the disk distant r from the centre dV = 2c 1 8 1 dz It fZ 2irhr ZT' ' We can now find the resistance of the conducting mass between two such conducting electrodes, a source and a sink, placed anywhere on the surface at such a distance apart that the streamlines from or to either of them are not in its neighbourhood disturbed by the position of the other. The whole current up to the disk by which the current enters is S, and we have seen that c is the potential of that disk. For distinction let the potentials of the source and sink disks be denoted by c1 c2; then if R be the resista...


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Product Details
  • ISBN-13: 9781235887512
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 50
  • Spine Width: 3 mm
  • Width: 189 mm
  • ISBN-10: 1235887510
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 109 gr


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