Handbook of Electric Power Calculations, Third Edition

Calculate the resistance of 1000 ft (304.8 m) of solid round aluminum conductor, type EC-H19 (AWG No.1) at 20 and 50 C. The diameter=0.2893 in. (7.35 mm).
1. Calculate Resistance at 20 C
Use R= ? l/ A, where R is the resistance in ohms, ? is the resistivity in ohm-circular mils per foot ( ? cmil/ft), l is the length of conductor in feet, and A is the area in circular mils (cmil), which is equal to the square of the conductor diameter given in mils. From Table 9.1, the percentage of conductivity for EC-H19 is 61 percent that of copper. For IACS copper, ?=10.4 ? cmil/ft. Therefore, for aluminum, the resistivity is 10.4/0.61=17.05 ? cmil/ft. The resistance of the conductor at 20 C is R=(17.05)(1000)/289.3 2=0.204 ?.
2. Calculate Resistance at 50 C
Use R T= R 20 [1+ ?( T 20 )], where R T is the resistance at the new temperature, R 20 is the resistance at 20 C, and ? is the temperature coefficient of resistance. From Table 9.1, ?=0.00403. Hence, R 50 =0.204[1+0.00403(50 20)]=0.229 ?.