74 TRANSMISSION LINE FORMULAS 



Now by putting x = p in the expression for /', equation 

 (9), we obtain the value of the total current in the wire, 



vn; 2 



Therefore, 



2 3 n 



2Jm . ^(Jm) 2 . 



i_... 



Substituting this value of OQ in equation (12), and putting 



the resistance per centimeter of the wire, we obtain 



Z^OT 3 Qffl) 2 w (jm) 



" 



This expression can evidently be carried to any accuracy 

 desired. It will give the same results as were previously 

 obtained in equation (5), by expanding the denominator as 

 a binomial of the form (i + x)~* and multiplying by the 

 numerator. This gives 



V = 



or, F = IR (i + 1*2 w 2 - T fo w 4 + ) 



+ iyco/io- 9 (i -^V^ 2 + ^lT^ 4 ---- )' 

 This is the voltage drop, omitting the effect of the flux 



