386 Pupin — Resonance Analysis of Alternating Currents. 



a. Study of the damping effect of the dielectric in the condenser. 



Let L = self-induction of the resonator circuit. 



R = resistance of the resonator circuit. 



P = amplitude of the difference of potential in the condenser 

 when point of resonance has been reached for a given 

 frequency. 



E = amplitude of impressed electromotive force in the reso- 

 nant circuit. 



then according to theory 



P-^E. 

 R 



Hence if R alone is varied P will vary also but in such a way 

 that 



PR = constant. 



That is to say if we vary the resistance of a resonant circuit 

 and tabulate the voltmeter deflection for every particular resist- 

 ance and then plot a curve taking the resistance for abscissae 

 and the voltmeter readings for ordinates we should, according 

 to theory, obtain an equilateral hyperbola. Curves II and III, 

 fig. 3, were obtained in this manner, the frequency employed 

 was that of the 10 H. P. alternator, that is 130 p. p. s. 



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