98 Prof. F. Slate on Electronic 



Any dimensions and magnitude are allowable for (z). The 

 above expression covers any constant inertia (m^ ; and its 

 eliminations have brought it to include any propelling force 

 (P), provided that the conditions preserve the same terminal 

 velocity *. Writing next 



we see the same cancellation of explicit kinetic energy 

 operating as in the work equation for the " deiormable 

 efpctron " of Lorentz f- Therefore that circumstance does 

 not by itself require electronic inertia to be wholly electro- 

 magnetic. The differences 



w _^ s i)=^[,vio g (^)-^ ; 



dW dv dD p (i\ 



dt dt at 



record the diverted (converted) energy and the activity 



3 As a mathematical device, introduce now a variable inertia 

 (mf). Let it depend upon (v, m x ), have for 0=0) the 

 magnitude (mi), and a rule of change making 



dv -^-b" 6 W 2 *W-* 2 ) 



'»1 r l 



Then work and activity restated by means of (m') become 

 /m'\ ^ s/v^ — v*/ 9 dm'\ 



W = m ,rr log (J ; rP = — ^— (*• -^ ) ; 



(5) 



Consequently, for arbitrary (n), 



[» 



-r^'UO. . . (7) 



vV^-r 2 ^ 



* See (II.), comment on eq. (9). 

 f See (I.), p. 435. 



