. The London, Edinburgh and Dublin philosophical magazine and journal of science. r,/, i. strength of current and voltage in transformers,phase-differences between current and tension by self-induction 978 Mr. M. Siegbahn on the Study of Variable and capacity. Through one wire passes then a current i = i0$hi(ot, (16) and through the other e± e0 sin (©* + =sin2 (f>. (18) In the general case the luminous point, consequently,describes an ellipse. What is of interest in this case is thephase-difference between the two currents. It is especiallyinteresting as by the phase difference can he calcu
. The London, Edinburgh and Dublin philosophical magazine and journal of science. r,/, i. strength of current and voltage in transformers,phase-differences between current and tension by self-induction 978 Mr. M. Siegbahn on the Study of Variable and capacity. Through one wire passes then a current i = i0$hi(ot, (16) and through the other e± e0 sin (©* + =sin2 (f>. (18) In the general case the luminous point, consequently,describes an ellipse. What is of interest in this case is thephase-difference between the two currents. It is especiallyinteresting as by the phase difference can he the self-induction of a bobbin. For the phase-differencebetween current and voltage we have n = 2ttL WT (19) T, period ; L, -elf-induction coefficient ; ay, ohmic resistance. I will now show m very simple way of calculating from the registered By letting the two currents (e and i) register one at atime the resistance is altered, till the same amplitudes areobtained, h = e0 (20) Currents l>y means of the Pliaseograph 979 The equation (18) is then simplified to i2 4- e2 — 2ei cos = i02 sin2 <£. . (21) This equation represents ellipses inscribed in a axes are consequently the lines e=±i , m) If e is eliminated between the equations (21) and (22) weobtain 2i2 + 2/2cos (23) The two z-values obtained from this formula are the coordi-nates of A and B. They can be exchanged for the semiaxesa, b, a = ilx/2 ; b = i2X/2 ; a2 = 2i2 ; b* = 2i22; a2(l — cos (f)) = ?02 sin2 cj) ;b2(l + cos (j> = i2 sin2 ; C0S*=^+i;s (24) We have consequently only to measure the axes of theellipse to find phase-difference and from this self-inductionand capacity. There remains to be mentioned a third way in which theapparatu
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