Notes on Recent Researchers in Electricity and Magnetism

Notes on Recent Researchers in Electricity and Magnetism

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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. 1893 edition. Excerpt: ...present. Let F, G, H be the components of the vector potential parallel to the axes of ax, 3/, z respectively, P, Q, R the components of the electromotive intensity, and a, b, c those of the magnetic induction in the same directions, let cents be the electrostatic potential, 0' the specific resistance of the conductor, 1 and n' the magnetic permeabilites of the conductor and dielectric respectively, and K and K' the specific inductive capacities of the conductor and dielectric respectively, then we have dF P =--'E?--' dG Q = "' W "--' ( 1) dH If a, /3, 'y are the components of the magnetic force, u, v, w those of the total current, then (Maxwell's Electricity and Mag In the metal the total current is the sum of the conduction and polarization currents; the conduction current parallel to:1: is P/0', tion current is gr ip.P. Thus the ratio of the conduction to the... 41r... polarization current 1s K, and since 0 111 electromagnetic O' LP measure is of the order 10' for the commoner metals and K in the same measure of the order 10,"" we see that unless the vibrations are comparable in rapidity with those of light we may neglect the polarization current in the metal in comparison with the conduction current. Thus in the conductor we have It follows from equation (2) that a, b, c satisfy equations of the same form. In the dielectric there is only the polarization current, the component of which parallel to as is gr ($3 hence in the dielectric We shall suppose that the effects are periodic and of frequency p/21:, so that the components of the electromotive intensity, as well as of the magnetic induction, will all vary as e'p' and will not explicitly involve the time in any otheshow more

Product details

  • Paperback
  • 189 x 246 x 8mm | 281g
  • Rarebooksclub.com
  • United States
  • English
  • black & white illustrations
  • 1236799534
  • 9781236799531