TRANSIENTS IN GROUNDED CIRCUITS 



761 



VM = 



and 



sin iol CO 



g-irXxlj I 



f 



2f 6t' - ioh^ 



ttXx'- (7rXx2)2 ' (7rX.r2)3 



sin cot , 2\^ 



Fi2(/) = — z-Y "I 7=r[cos co/ kei'(2x\7rXco) + sin co/ l^r'(2A-\ ttXw)] 



7rX.r2 ^^-VttX 



^-w\xyt 



J L / ^ _ 67rX.r^ (ttXx'')^ 



co/2 a;2 W-' /' ^"^ ' 



and for such values of time where neither of these series expansions 

 would give very accurate results the following formulas may be used 



^12(0 = -ZVTT Z^^2 cos (w/ - ^), 



TT 



\x' 



t\x' 



B 



tan^ = ^ 



2 3 4 6 6 7 6 



r 



9 10 



Fig. 1 — Plot of the integral A as a function of r for different values of s. 



