# A copper conductor has 12 strands with each strand diameter of 0.1328 in. For this conductor,…

A copper conductor has 12 strands with each strand diameter of 0.1328 in. For this conductor, find the total copper cross-sectional area in cmil (see Problem 1.2.1 for definition of cmil), and calculate the dc resistance at 20°C in (ohms/km), assuming a 2% increase in resistance due to spiraling.

Problem 1.2.1

In English units the conductor cross-sectional area is expressed in circular mils (cmil). A circle with diameter d mil has an area of (π/4)d2 sq. mil,
or d2 cmil. The handbook for aluminum electrical conductors lists a dc resistance of 0.01558  per 1000 ft at 20°C for Marigold conductor, whose size is 1113 kcmil.
(a) Verify the dc resistance assuming an increase in resistance of 3% for spiraling of the strands.
(b) Calculate the dc resistance at 50°C, given that the temperature constant for aluminum is 228.1°C.
(c) If the 60-Hz resistance of 0.0956 /mile at 50°C is listed in the handbook, determine the percentage increase due to skin effect or frequency.

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