An Introduction to Electrodynamics from the Standpoint of the Electron Theory
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An Introduction to Electrodynamics from the Standpoint of the Electron Theory

An Introduction to Electrodynamics from the Standpoint of the Electron Theory


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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. 1922 Excerpt: ...electromagnetic force per unit volume. 28. Energy relations. From (12) and (14) it follows that 1 1 H-V xE-E-VxH =--(E-E ] H-H)--pE-v. e c But H-V x E-E-V x H = V-(E x H), and pE-V = F-v. Hence (E + i/2) + cV-(E x H) + F-v = 0. Integrating over any arbitrarily chosen portion of space, and applying Gauss' theorem to the second term, Jtf (E+ HdT + H)--+ f F-YdT = ' (16') where dr is an element of volume, and da an element of the bounding surface having the direction of the outward drawn normal. The third term of this expression measures the rate at which work is done by the electromagnetic field on the matter contained in the region selected. Hence, if the principle of conservation of energy is to hold, the first two terms must be interpreted as the rate at which the energy of the field increases plus the rate at which energy escapes through the surface bounding the field. Suppose E and H to be zero everywhere on this surface. Then no energy escapes from the region enclosed, and the rate at which work is done on the electromagnetic field equals the rate at which its energy increases. But the integrand of the second term of (16) is everywhere zero. Hence the rate of increase of energy of the field must be represented by the first term, the form of which suggests that is to be considered as the electromagnetic energy per unit volume. The second term of (16), then, must be interpreted as the outward flux of energy through the surface enveloping the field, and its form suggests that s = c(E x H) is to be considered as the flow of energy per unit cross section per unit time. 29. Electromagnetic waves in space. For empty space the electromagnetic equations take the form V-E = 0, (17) V-H = 0, (19) VxE =--fl, (18) VxH =-E. (20) c c To eliminate H, cur...


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Product Details
  • ISBN-13: 9781152339729
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 28
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1152339729
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 68 gr


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