Electric Waves; An Advanced Treatise on Alternating-Current Theory

Electric Waves; An Advanced Treatise on Alternating-Current 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. 1909 edition. Excerpt: ...to turn the line E0" into its proper position as shown in Fig. 141 it must be multiplied by e; and the lines E0" and I0" so found must be multiplied by Voi2+32 and VN2 + K2 respectively to give the correct expressions for EJ' and / " in volts and amperes. Therefore (ac + 32)i and (A" + AT) /o" = Vi-tfo-plpy --) (36) To turn E0' and 70' in a counter-clockwise direction through the angle /S/ we must multiply both by eJfl', and when so Eg = lEfti +--+)') (a?+&)l (41) and /y=K(e(', +J9)' + e(a+J3)') (W2 + K)i (42) To find the numerical values of E and / separate the expressions of equations (41) and (42) each into real and imaginary components and take the square root of the sum of the squares of the components; and to find the power delivered by the generator multiply.ar-component of E by.-component of Ig, and multiply _y-component of Eg by j'-component of I; and take the sum of the two products with due regard to algebraic signs, f Thus the square root of the sum of the squares of the components which are given in equation (13) is Vi + 'n 1 tnat is to say, the factor j which marks the-component is not a part thereof, the /-component is - not jixv tSee page 95, Franklin and Esty's Elements of Electrical Engineering, Vol. II. CHAPTER VI. GENERAL EQUATIONS OF THE ELECTROMAGNETIC FIELD. FREE ELECTROMAGNETIC WAVES. 40. Need of more elaborate mathematical theory.--The discussion of electromagnetic waves as given in Chapters IV and V is based almost solely upon the physical ideas of Art. 18, and in working out the details in Chapter IV, extensive use has been made of the analogies between electric waves and waves in material media. This is perhaps the best possible method as far as it goes, but...show more

Product details

  • Paperback | 74 pages
  • 189 x 246 x 4mm | 150g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236574257
  • 9781236574251