564 Prof. Morton on the Propagation of Polyphase 



The distances of the wires being supposed large, there is no 

 disturbance, to our order of approximation, of the symmetrical 

 distribution of the oscillating currents round the axis of the 

 wire. The inductance also is connected by Lord Rayleigh's 

 formula with the value approached as the frequency vanishes. 



I have worked out numerically all the possible modes up 

 to the case of twelve wires, and have exhibited the results 

 graphically. _ _ 2 gir .„ , 



The mode in which the phase-difference is will be 



referred to as the ^th mode. 



3. 1 shall repeat here the values of the constants employed, 

 referring to the former paper for an account of the method. 



The periodic factor is written e i{mz ~ pt \ where 



m = — ik, 



A, 



V X being the velocity of radiation and the wave-length in 

 free space ; 



* 2 =(i-0x/^ 

 v p 



where jup are the permeability and resistivity of the wire. 



«-*.•-'-(?)-(¥-••)*• 



a is used for the radius of a wire, b 12 for the distance between 



two wires. 



For shortness 



2i 



A is written for log „ 



& yca r 



B 12 for log ~~~. 



7^*12 



f for ^L jofeg) 



k 2 a Ji{k 2 ay 



In the former work the permeabilities of wire and dielectric 

 were supposed to be the same, and fi did not occur in the formula 

 for/. It will be more convenient now to use /ju for the wire, 

 calling the permeability outside unity. 



4. To express a phase-difference of ~^~ we multiply the 

 periodic factor *•(***-»*) by e ^- 



