614 



LENZ ON FXECTRO-MAGNETISM. 



hypothesis of the proportionality of the number of convolutions and of 

 the electromotive power is confirmed in reality by the observation.— 

 The known formula for sin. ^ is after the method of the least squares : 



IV 2 C« • sin. i a) 



and after having performed the calculation, we have from the foregoing 

 table 



= 30 9' or log. sin. ^ g = 8-43989. 

 This value of ^ gives for a the following values : 



the coincidence of the calculated with the observed deviations, con- 

 firming our presupposition that the electromotive power increases as 

 tlie number of convolutions. 



A second series of experiments on the same subject were made with 

 the same wire, No. 3, except that the length of the wire through which 

 the current had to pass, was no longer the same in each number of 

 convolutions; we must therefore return to our general formula (B.). 

 It was 



• I L + / + (X) . I ^ 

 sin. ^ a = w ■ ^—'' • sin. ^ P. 



The wire of the multiplier and of the conductors always remained the 

 same, and was reduced to the diameter of the wire of the multiplier 



L + / = 673-25 inches. 

 The lengths X, X^, X,^ &c., were however changeable ; I have therefore 

 added these values, reduced also to the wire of the multiplier in the 

 following table of the experiments. 



L + / + (X) is = 68I-45 



