INDUCTANCE AND CAPACITY 



The mesh equations are 



X(Z C + Z G + ZO - (X + 7) Z G - I B Z 1} = 



(X + 7) (Z 2 + Z G ) - XZ C jum x I B = 0. 

 Solving for the galvanometer current, 



ZiZ G + (Zi + Z G ) (Z c + Zi) 



419 



FIG. 244. Connections for measurement of mutual inductance in terms of 



capacity. 



Therefore the equation for balance is 

 Ri(Rz + r 2 ) TT = 



r) - 



)n separating the quadrature components the horizontal compo- 

 lent gives 



m x = CR^Rz + r 2 ) (52) 



le vertical component gives 



(53) 



'he adjustment of R 2 and C does not disturb the second condition 

 for balance, and an adjustment of r does not disturb the first 

 condition. The two adjustments are thus independent and the 

 arrangement a convenient one. The resistance R\ should have 

 a large current-carrying capacity. From (53) it is seen that if the 

 resistance r is not present, m x = Z>2- This is the lowest usable 

 value of L 2 . If the inductance in the branch 2 is below this value 

 it must be increased by adding an inductive coil. In Carey Fos- 



