PEIRCE. — CHANGES EST INDUCTANCES OF ELECTRIC CIRCUITS. 551 



thereafter keep. It is evident that any instant during the interval 

 0<t<T, 



I 



rE ^' =h 



nil 



^lil,^^ 



II 



rClWvln 



r 



T 1 



Y. W 



^^^ 



Figure 9. 



d{LC) d(L,a) 

 E+ L.^ -^^ -^ = rC^r.U 



(17) 



or, if we represent differentiation with respect to the time by accents, 



(Z + U) C\ + LC", + {L' + L\ + r + n) C\ + {U + r) C, = E+ Z\, 



(IS) 

 LC\ + (L + U) C\ + (X'+ r) (7i + {IJ + A + r + r^ C^ = £-+ iiV 



If, from these equations and others obtained by differentiating them 

 with respect to the time, C2 and its derivatives be eliminated, we bhall 



