PEIRCE. — CHANGES IN INDUCTANCES OF ELECTRIC CIRCUITS. 555 



attained the value 1.607 and G the value 1.457, Zi is suddenly 

 changed from 1 to 2. As a consequence, Ci falls suddenly to 0.8035, 

 while C-i remains momentarily unchanged. Before the change, the 

 currents were given by the equations 



Ci = 3 - \%% e-^^' - W e 



C, = 2 + H!le-24'- i'ioe- 



FiGURE 13. After the currents in two parallel inductive resistances which 

 connect the terminals of a storage battery have become steady, at the values 

 OK, OL, the inductance of one of the branches is suddenly doubled so that 

 the current in it takes the course KGQWS. The current in the other branch 

 takes the continuous form LRDT and approaches its final value from above. 



and afterwards by the approximate equations 



(7i = 3 - 1.912 e-'3.4« _ 0.284 e-^4.52t^ 

 (72 = 2 + 0.803 c-'3-^3' - 1.346 e-^4.52«. 



(22) 



The line OTPVY shows the course of Ci, and OSED the course of C^. 

 It will be observed that C2 approaches its final value from above. 



If the change in inductance is made after the currents have attained 

 their final values, the courses of Ci and C2 will be those indicated in 

 Figure 13 by the lines KGQS and LRDT. If after the currents have 

 reached their steady values, the main circuit be suddenly broken, Ci 



