410 ELECTRICAL MEASUREMENTS 



Solving for L x and R x , 



L* = 



Rx = 



RN 



m- 



/T + 



KN 



RM ~\~ RN ~f~ RP 



RpR M 



1 + 



RN 



1 - 



M +RN 



1 + 



(42) 



(43) 



In his paper Professor Hughes treated his observations as 

 if he were dealing with an ordinary bridge, that is, as if 



Heaviside in his examination of the work of Professor Hughes 

 pointed out that balance may be obtained if the secondary of 



FIG. 239. Mesh diagram for Heaviside mutual inductance bridge. 



the mutual inductance is introduced into one of the main bridge 

 arms as well as if it is used in the galvanometer circuit. Fig. 239 

 shows a bridge arranged in this manner; as before, Z with the 

 proper subscript denotes the total impedance of the correspond- 

 ing bridge arm. 



The mesh equations are 



X(Z M - 

 (X + F) (Z : 



Z^) - (X + F) Z G - /B^AT = 



- XZ G - I B Z P jmu I B = 



