A transmission line cable consists of 13 identical strands of aluminum each 10 mm in diameter. The resistivity of aluminum strand at \( 20^{\circ} \mathrm{C} \) is \( 2.8 \times 10^{-8} \Omega-\mathrm{m} \). Find the \( 20^{\circ} \mathrm{C} \) DC resistance per km of the cable in \( \Omega \).
Added by Linda H.
Close
Step 1
The diameter of each strand is 10 mm, so the radius \( r \) is 5 mm or 0.005 m. The cross-sectional area \( A \) of one strand is given by: \[ A = \pi r^2 = \pi (0.005)^2 = 7.85 \times 10^{-5} \, \text{m}^2 \] Show more…
Show all steps
Your feedback will help us improve your experience
Vivek K and 63 other Physics 102 Electricity and Magnetism educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A high voltage transmission line has an aluminum cable of diameter 2.6 cm and is 259 km long. The resistivity of Aluminum is 2.8*10-8 Ωm. What is the resistance of this cable in Ω? Enter a number with one digit behind the decimal point.
Varsha A.
resistance of a metal wire of length 1m is 26 ohm at 20° C .If the diameter of the wire is 0.3mm, what will be the resistivity of the metal at that temperature?
Madhur L.
Prabhakar K.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD