322 CONSTITUTION OF MAGNETS. 



337. POTENTIAL OF INDUCTION. The function plays, in 

 reference to the induction F 15 the same part as the function V in 

 reference to the magnetic resultant F. For the values of the com- 

 ponents of the force F 1 are (326) 



3V 



Xl =-- 



ay 



Yl =-- 



** 



We know, on the other hand, that we have (332) 



, 13 ~, Lx . 



ox oy 02 



From the equation 



we deduce 



W c)fi ^ ^0 

 ---= __ 47r __= - - 4?rA, 



d^ ojc o^: ox 



"SV M ^ ttt 



-^ = - -47T~-= - -47TB, 



oy oy oy oy 



_ = _ -47T = - T -- 



OZ 02 02 02 



and, therefore, 



an 



The components of the induction Fj are therefore equal and of 

 opposite sign to the partial differentials of the function ft. 



