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Aberration and Some Other Problems Connected with the Electromagnetic Field

Aberration and Some Other Problems Connected with the Electromagnetic Field


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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1900 edition. Excerpt: ...= 0, we may assume B.E," = vfT2 ] 4 K-/a where by (68) fl, j2 are small functions. Further by (69), div E = 0, .-. V1 = 0, V/i2 = 0 (70). The surface conditions are, by (39), (35), (36), that the tangential components of E', H' shall be continuous; and by (38), (41) that the difference between the normal components of total electric and of total magnetic polarisation, D and Cr, on the two sides of an element of the surface shall each be constant; this constant must be zero, for the sphere is uncharged. satisfy all the surface conditions. Hence fa, fa must obey the following requirements: --(1) Within the sphere V=0. (2) Outside the sphere Vfa = 0. (3) At the surface the tangential components of V, Vfa must be continuous, and also dfa--dfa dr dr Therefore fa, fa are the potentials due to a dielectric sphere with no electric distribution at any point, and are constants which may be equated to zero. Further, by the equations (64) for inside space, we obtain by substituting for E, its value (0, 0, j--), curl H," = 0. For outside space we have K = 1 and div E, = 0, .-. curlH "=0. Thus H," = Vw, H2"=Vw2, where mu o2 are small functions: also At the surface, the tangential component of H' is continuous, so that the vector H3'--H, ' must have the direction of the normal. U-U M;-m; N2'-n, ' The normal magnetic polarisation is continuous, .'. xL + yM+zN = 0, i.e. the values of xL" + yM" + zN" + y must be continuous. and it may be deduced that These values may also be obtained by direct analysis from the conditions (71), (72), (74). 27. The external magnetic force which would be directly given by experiment, is L," M," N," the force at points fixed relative to the earth. We...


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Product Details
  • ISBN-13: 9781151859242
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 24
  • Spine Width: 1 mm
  • Width: 189 mm
  • ISBN-10: 1151859249
  • Publisher Date: 01 Apr 2013
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 64 gr


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