Books with author Henry Watson Wilbur

This is a pre-1923 historical reproduction that was curated for quality. Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have occasional errors that do not impede the reading experience. We believe this work is culturally important and have elected to bring the book back into print as part of our continuing commitment to the preservation of printed works worldwide.

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. 1889 Excerpt: ...we know that df dg dh dx dy dz and therefore--p =--V2. Whence it follows that y/r is the potential of the free electricity in the field. 403. Again, if there be material motion in the field we have proved, Art. 389, that „.dF.dG.dH... _ „ dF d+-F = xdx-+ + zdz--cy+bz+G-H+-dT + d' with similar expressions for Q and R. If the substance be of invariable form we know that o, o2, o3 have the same values throughout, and also that This proposition was first demonstrated by Professor Poynting, D.Sc, F.R.S., in a paper published in the Transactions of the Royal Society of London for 1884. It being proved, as above, that the time variation of the energy within a closed surface is expressible as a surface integral over that surface, Professor Poynting assumes that the flow of energy through each surface element is the argument of that surface integral. This theory, with many interesting consequences, has met with general acceptance. therefore _ d,.-.-,--... dG db whence, attending to the equations dz ay r-,in A dc da V2G =--4-itv =-5--ax dz 9 Tt-da db dy dx, dP dQ dR',, as before, and p is in this case also the potential of electrical distribution. If we adopt the shorter and more usual formulae p = c--bz----dt dx &c, where jr'=Fx+Gy+Hz. Since P, Q, i2 in the two expressions differ only by the.. djr db dlr......«,.. quantities----t1-)-51-respectively, it is indifferent which forms are employed in the case of closed currents, only it is important to remember that in the one case the yjr is the potential of free electricity, and in the other case that it differs from that potential by the quantity j/ or Fx + Gy+Hz. Note.--The field equations arriTed at in this Chapter are those principally in use, and which will be employed in subsequent pages. Many...

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