KENNELLY. — OSCILLATING-CURRENT CIRCUITS. 



So that by the same reasoning as before 





e-2^<i) 



405 



= A, -4/(1 + cos^<^) {^^y Ph. Q. (70) 



which differs from the preceding c orrespondi ng expression (66) in the 

 substitution of Vl + cos' <^ for Vl - cos^ <^. By the combination of 



-X 



Figure 15. Rotative vector-diagram of an oscillating-current circuit 

 containing resistance. Instant of release of reactance charge. 



formulas (66) and (70) the r. m. s. values of oscillating quantities 

 containing a sum of sine and cosine terms can be evaluated. 



Discharging Oscillations from Reactance. — If with the condenser 

 (Figure 1) uncharged, and resistance r in the circuit, we charge the 

 reactance with magnetic energy, by passing through it a steady current 

 of Iq amperes, we may then allow the reactance to discharge through 

 the condenser and resistance. We first find w^, the angular velocity of 



