REACTANCE OF CABLE, SINGLE-PHASE 



77 



7( X) is proportional to the area of conductor inside the 

 circle of radius x, and this must be measured from the 

 diagram of the section of the conductor (Fig. 15). 



4"T 



.2 .3 .4 .5 .6 .7 .8 -9 1.0 I.I 



X 



Fig. is. 



Plot a curve of flux density, / (l) , for various values of x. 

 Let <j> (x ) be the area of the curve of f^ between the values 

 x and p, where p is the outside radius of the cable. Also, 

 let C( X ) be the length of that part of the circle 2 irx which 

 lies in the section of the wires of the cable. 



As shown in Chapter IX, page 65, the voltage drop 

 along different parts of the cable is not uniform, and must 

 be balanced by a local quadrature current. Thus we have 

 the conditions 



juILi =jw<t> (X ) io~ 8 + i (X ) r 

 at any section, 



