PEIRCE. — CHANGES IN INDUCTANCES OF ELECTRIC CIRCUITS. 



ir,3 



soon becomes steady, but wlien the string which connects W to X 

 becomes taut the motion is suddenly changed. 



Figure 9^ represents a circuit consisting of three parallel branches, 

 each of which has self-inductance and may contain a battery, and two of 

 which have nnitual inductance. If X, Z/j, L^ are the self-inductances, 

 r, /'i, ro the resistances, C, Ti, Ta the currents, E, /i'l, E., the electro- 



FiGURE 22. At the time OA the mutual inductance of two neighboring 

 circuits, one of which contains a battery, is suddenly reduced to zero. The 

 primary and secondary currents which have been pursuing the courses OCD, 

 OGZ are abruptly changed in value and now follow the lines OCKW and 

 OGAUY. 



motive forces, and M the mutual inductance of the second and third 

 branches, the currents satisfy the equations 



iM+L) 



dt 

 dCi 



+ (L + 31)"^ + (r + n)C, + rC, = E + El, 



da 



(32) 



^^ + {L + L,)^ + rCi + {r + r,) C, = E + E„ 



C=Ci + C2. 



