w 



in the Branches of a Wheatstone's Bridge. 



169 



By making K^B^ and L! = L 2 we reduce (14) and (15) to 

 equality, so that, as the angles are the same, the points H and 

 K are brought into coincidence at H (fig. 4) upon their 

 circle OHKP. Since the points C and C (fig. 3) lie in the 

 lines OHC and OKC / as well as upon the circle OUC'A they 

 are also brought into coincidence at (fig. 4) . As the points 



Fig. 4. 



\ \ 





D 



fr* 



\* 



*£ 



X*, 



'&&'? 



(T^T 



M and N lie both upon the lines AMC and ANO and the 

 circle ANMP, these points are also brought into coincidence 

 at M (fig. 4). By equation (11) the branch currents OD 

 and OD' are made equal by these conditions, so that the 

 points D and D / coincide in the figure, while 0R=20D and 

 has the same direction. 



Variation Diagrams. 



In fig. 4 are represented the currents and potentials for a 

 single value of the resistances and inductances only. If 

 different inductances L x and L 2 are used, while all the other 

 quantities remain the same, the diagram will be completely 

 altered, and it is very desirable to know how the various 



Phil. Mag. S. 5. Vol. 43. No. 262. March 1897. P 



