976 Dr. G. Breit on the Effective Capacity of 



It now remains to find M(0). This is obtained from M{y) . 

 M(y) itself is given by 



M(y) _ 2\/a Y ^f _ 2 cos 6 

 L 7m 2 ira ' 



because the area between y and y + dy is 2\/a 2 —y l dy. 

 Hence 



M((9) _M(y)</y_ 2cos 2 <9 

 L ~ L dd"~ 7t * * (17 ' 



Therefore 



>.; (-;*-' gin (8n4-l)g -1 



*- 3 „to(2n+l)(2n + 3)(2n-l)J" lt '' 



C„=H ^-co,s 2 0,^(1 + cos 20) 



8* I (-)»-i cos (2n+1)fl "I - 

 * 7T 3 *„ (2n + l) 2 (2n + 3) (2n-l) J W * 



C = - [^(1 + cos 2 20 + 2 cos 20) 



it }-Jt \_2ir z 



8tc - (-)"-i{cos (2n - 1)0 + cos 26 cos (2n+ l)fl} -] , fl 



7T 3 ~ (2n + l) 2 (2n + 3)(2n-l) 



I VZfCe , 8* S ____ 2_ / 1__ 



" it [_±ir "* 7T 3 * (2n + l) 2 ("2n +- 3) (2n - T) V 2n + 1 



1 



+ 



2(2n-f3) T 2(2n- 1))J 



L[^e ,^0 y I f A 



""7rL47r i " 7T a n to(2n+l) 3 (2n + 3) 2 (2n-l) 2laraa& - 



1 



The series 2 7^ — , -, xS /o — r -^i/n tw W vei T rapid lv 



n=o (2n + l)°(2n + 6)\2n--iy J * * 



convergent. The calculation of a few terms gives for its 



value 



0-1126. 



Hence • 



Co = (M)7599tf.Z + (M)7398*oJ, • • (18) 



or in terms of K e , K 



G t = 10- ]2 [0-08453K e + 0-08230K ]/ farads 



= (0-08453 K e + 0-08230 K )Z micromicrofarads. (18') 



