University of California Publications in Engineering Volume 1

University of California Publications in Engineering Volume 1

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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. 1907 edition. Excerpt: ... could now be substituted and the result would give #2' as an explicit function of the impressed electromotive forces. Similar expressions could be written for all other electromotive forces, but the result would be a number of equations of the same form as above--a useless repetition. Specialization For Zero Resistance In order to facilitate the inspection of equation (4) the condition is introduced that the two resistances are each equal to zero. In equations (5), both the primary and the secondary currents in general reach infinite values for two distinct values of o--that is, such values of a as would cause the denominator to disappear. Placing the denominator equal to zero and clearing of fractions, CiC2(LiLi-M4-(L1C i + L2C2V + 1=0, from which i/lUi nL/ii/2, 0i2 + 822 V(322-fli2)2 + 4fcWfo2 = 2(T) Equation (8) gives the two frequencies at which the denominator in (5) becomes equal to zero. If the primary and secondary circuits are tuned, that is, if their free oscillation-frequencies are equal, 0i = fit = /3, and under this condition equation (8) will reduce to the form 0 In equation (9), the values of the two frequencies for which the currents become infinite for the special conditions selected, viz., /3i = /32, are the same as those given by Fleming,10 Zenneck,11 and others, as the free oscillation-frequencies of such coupled circuits. By free oscillation-frequency is meant the frequency at which a system will oscillate if energy is neither added to nor taken from it. Condition For Free Oscillation Frequency It is well to stop here and notice a general form of statement which would have led directly to the same conclusion. Neglecting the electromotive forces consumed by resistance, all free oscillations must more

Product details

  • Paperback | 60 pages
  • 189 x 246 x 3mm | 127g
  • United States
  • English
  • black & white illustrations
  • 1236988949
  • 9781236988942