Question

A transmission-line cable consists of 12 identical strands of aluminum, each 3 mm in diameter. The resistivity of the aluminum strand at 20°C is 2.8 x 10^-8 Ωm. Find the AC resistance per km of the cable at 50°C. Assume a skin-effect correction factor of 1.02 at 60 Hz.

Name: a transmission line cable consists of 12 identical strands of aluminum each 3 mm in diameter the resistivity of aluminum strand at 20 is 28 x 10 8 qm find the ac resistance per km of the cab 09316
Uploaded: 2022-01-03T11:26:47-08:00
Duration: 4 min 31 s
Channel: Aparna Shakti
Description: a transmission line cable consists of 12 identical strands of aluminum each 3 mm in diameter the resistivity of aluminum strand at 20 is 28 x 10 8 qm find the ac resistance per km of the cab 09316

          A transmission-line cable consists of 12 identical strands of aluminum, each 3 mm in diameter. The resistivity of the aluminum strand at 20°C is 2.8 x 10^-8 Ωm. Find the AC resistance per km of the cable at 50°C. Assume a skin-effect correction factor of 1.02 at 60 Hz.

Added by Alex S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Aparna Shakti

01/03/2022

Step 1

- The diameter of each strand is 3 mm. - The radius \( r \) is half of the diameter: \( r = \frac{3 \text{ mm}}{2} = 1.5 \text{ mm} \). - The cross-sectional area \( A \) of one strand is given by the formula for the area of a circle: \( A = \pi r^2 \). \[ A = Show more…

Show all steps

Thanks for your feedback!

A transmission-line cable consists of 12 identical strands of aluminum, each 3 mm in diameter. The resistivity of the aluminum strand at 20°C is 2.8 x 10^-8 Ωm. Find the AC resistance per km of the cable at 50°C. Assume a skin-effect correction factor of 1.02 at 60 Hz.