1891.] Power given by any Electric Current to any Circuit. 433 



{4'47 

 O.WQ ; 



)m the three sets of results given in Table II, that 

 the impedance of the arc and electromagnet equals 



id from the two sets of results given in Table IV, that 



the impedance of the electromagnet alone equals. . < o.ie- 



In order to test whether the current follows a harmonic law, let 

 assume that it does, then find what result this assumption leads 

 , and, lastly, see whether the experiments confirm this result or not. 

 Let, therefore, the instantaneous current at any moment be of the 



here r is the effective resistance in each case, viz., the ratio of the 

 true watts given to the circuit divided by the mean square of the 

 current in amperes, and where^> equals 2?rra, n being the number of 

 periods per second. In each of the seven experiments referred to in 

 'ables I, II, and IV, n was 200. 



The seven values of r in ohms corresponding with the seven values 

 the impedance given above are for the 



Arc alone 



J 

 \ 



3-42 

 2-07' 



2-65 



Arc and electromagnet 1 2' 66. 



271 



Electromagnet alone 



Lnd, since the impedance equals ^( 

 le, the corresponding values of Lp are, for 



Arc alone 



fO-44 

 1 0-54' 



, if the harmonic law be 



J2-88 

 i 3-16' 



(-4-08 

 Arc and electromagnet 4. 4'41. 



[4-37 



{3'12 

 s-iT* 



