PIERCE. — THEORY OF COUPLED CIRCUITS. 



303 



IV. Numerical Examination of the General 

 Resonance Relation. 



The equations above derived we shall now submit to numerical exam- 

 ination. Let us first examine the general resonance relation as ex- 

 pressed in equation (19). Replacing U and V in equation (19) by 



.2 .4 .6 .8 1.0 1.2 1.4 1.6 1.8 20 £.2 2.4 



Figure 5. Theoretical relation of X4 to \ for resonance. The different 

 curves are for different values of damping in Circuit III. Given t = .29 . 



their values (15), we have the general resonance relation in the follow- 

 ing form: 



if^ 



(24) 



^*"-^ = 



L, 



Cso^J 



or 



(^^"-^. 



+ Ei' 



(25) 





