316 



PROCEEDINGS OF THE AMERICAN ACADEMY. 



aud form of the resonance curve. Ju making the calculations if 

 M'W>Ji\Jli we can take convenient values of the parameter k and 

 calculate the wave-length adjustment corresponding to the given 

 values of k (equation 44) and also the relative current fur the same 

 values of X: (eiiuation 41). The results will give relative current 

 corresponding to various wave-length adjustments. 



.2 .4 .6 



Values of A,■^X 



TiiESE LIMES SHOW X.3+X.-^c) 

 FOR DIFFERENT VALUES OF 



Vs 



2.0 



7. 



Figure 8. Resonance curves giving theoretical relation of current-square 

 times resistance of Circuit IV to wave-lcriKth adjustment in the neiphbor- 

 hood of the optimum adjustment of Circuit IV when Circuit III is at optimum 

 — for 7/3 = .01, T = .30. 



Case I irif/i r)i = .01, rj. = .01, T = ..W. — A .sample set of com- 

 puted results assuming t = .30, rj^ = .01 and 7/4 = .(»1 is given in 

 Table IV. 



These results are plotted as the two curves marked "774 = .01 " of 

 Figure 8. The abscissas are values of the wave-length adjustment 

 relative to the wave length of the incident waves (A4/A). The ordi- 



/ y \2 ^ E 



nates are values of ( -r^ ) but since YmnT mnr = z — r=n=^, and 



i' 



max max 



2 ^/RzR: 



since all the curves of the figure are plotted with constant ^3 (ie., con- 

 stant 773), constant £*, and constant M, it is perhaps more instructive 

 to regard the ordinates of Figure 8 as relative values of Y-Ri, and 

 they are so designated in the figure. Referring again to the figure, 

 these two curves marked "-qi — .01 " are obtained as resonance curves 



