574 Prof. E. Taylor Jones on 



Calculation of the Secondary Potential. 



The formulae used in the calculation of the frequencies, 

 amplitudes, and damping factors of the two oscillations are 

 collected here : — 



^ _ 2irL 21 i n ] n 2 2 



(n 2 2 — n^) COS 81' 



^ _ 27rL 2l i n l 2 n 2 

 2 (?V — ^i 2 ) cos£ 2 ' 



* 2 =4,rV(^+/3), 



where 



0i — 2 ^'i^i — 2 XT * ^ 1 ^ 1 ' 



"2 == o -tig V'2 = o" ~F~ * -^2^2* 



/3= - iPS to- 6 * ( L ' c '- L ^). 



and ? is the current interrupted in the primary. 



These expressions are, with a change of notation, the same 

 as those used in the former papers. 



In the case of the phase-angles S 1? S 2 , however, new 

 formulae are required owing to the fact that in the former 

 papers no account was taken of the difference between the 

 effective resistances and the steady-current values. This 

 affects the initial conditions of the problem, which now 

 become at t = 0, 



-0^ = 4 V, = B*,», ^=0, V 2 = 0, 



where R is the resistance of the primary for steady currents. 



* If the condenser is connected across the interrupter in the usual way 

 the corresponding initial condition is V^O, and the solution for this 

 case maybe obtained by putting O =O in the final equation given below. 



