828 S. Kinoshita, S. Nishikawa, and S. Ono on Amount 



Since the velocity of the particle /, say, is equal to 

 _|£or-!*,weget 



-_Cd j2 c &h __ f-# <> # 



'"J velocity "J _*$_ J f~}_J^ 



05 2 



as we may put <f>— — co at A for the calculation of t. 



Therefore the number Q of the particles deposited on unit 

 length of the wire in unit of time is 



q=x e n e rr^- w ^ 1 ^ 2 =x E N E pj 0i «- xa J— Tii^a^ 

 =^{i-,-r:^}^. . . ( A) 



The limits of integration i|r l5 >/r 2> and 0j, which are functions 

 of fik, h, and w, must be so taken that the integration 

 extends over the whole effective region RPqR^ 



If this boundary curve RP Rj does not cut the axis of x 

 at a finite distance, then 



^=00, e AJ-~ /?=0. 



Therefore 



n XeNeT^,. . 7 X e Ne 



Q=-^ ) dyfr = ±Trfik -- — . ...(B) 



A A J^ Xa 



/£ ?}iii«t &£ noticed that the above expression is independent of w. 

 If the boundary curve RP^Rx does cut the axis of x at a finite 

 distance, then Q will be less than the value above obtained. 



(8) We shall now find the condition that RP does not 

 cut the axis of x at a finite distance. The condition will be 

 satisfied if 0' — = 27r for values of z such that 0<z<h, 



L e., if 



x p fV 2 



or F -415 or „ 7^^^- 



Consequently, if i« 7 .-= £- — v cm. per second, then the 

 boundary of the effective region tends to become parallel to 



