Philosophical Transactions of the Royal Society of London Volume 176

Philosophical Transactions of the Royal Society of London Volume 176

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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. 1886 edition. Excerpt: ...in the tourmaline depending upon the temperature. Now if ma involves the coordinates which fix the electric displacement we can easily see that there must be such an effect. For take the case of a tourmaline crystal whose axis is taken as the axis of 2:, the positive direction of the axis being that drawn from the negative to the positive ends of the crystal; let p be the electric displacement parallel to this axis, and suppose that in the expression for the energy per unit volume there is the term cents(p)(r)............(69) where p) merely denotes some function of 1) and 8 denotes the temperature as before. By LAGRANGE's equation we see that there will be an electromotive force parallel to the axis of an and equal to cents'(p)9............(70) so that if K be the specific inductive capacity of the tourmaline the electric displacement will be and this will depend upon the temperature, which is all that is required for Sir VVILLIAM THOMs0N's explanation. Let us now consider the effect of the term p)8 upon the temperature. We see, as in the last case, that the part of the energy on which the temperature depends may be expressed in the form As the positive direction of:10 is that drawn from the negative to the positive ends of the crystal the electric displacement in this direction must be positive, hence we see from equation (71) that;S'(p) is positive; but if f'(p) be positive we see from equation (74) that when p is increased the temperature will fall. Thus if we take a tourmaline crystal a11d place it in an electric field so that the line joining the negative end of the crystal to the positive is in the direction of the electric force, the temperature of the tourmaline crystal will fall when the strengthshow more

Product details

  • Paperback | 334 pages
  • 189 x 246 x 18mm | 599g
  • Rarebooksclub.com
  • United States
  • English
  • black & white illustrations
  • 1236836162
  • 9781236836168