Two power lines, line 1 and line 2, both of length LL = 98 m, are strung east-west between two towers. line 1 is r12 = 2.4 m directly above line 2. The current in both power lines is IL = 76 A to the west. Assume the power lines are straight and you can use the approximation r12 < LL. a) Find the magnitude of the magnetic field B21, in teslas, produced by line 1 at line 2. b) Calculate the magnitude of the magnetic force F21, in newtons, that the current in line 1 exerts on line 2. c) Assume a typical power line has a mass of 890 kg per 1000 m. How many times larger would the current in both lines have to be for the magnetic force on the line to equal the force of gravity?

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Answered: Two power lines, line 1 and line 2,…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter24: Electromagnetic Waves

Section: Chapter Questions

Problem 1P

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Two power lines, line 1 and line 2, both of length L_L = 98 m, are strung east-west between two towers. line 1 is r₁₂ = 2.4 m directly above line 2. The current in both power lines is I_L = 76 A to the west. Assume the power lines are straight and you can use the approximation r₁₂ < L_L.

a) Find the magnitude of the magnetic field B₂₁, in teslas, produced by line 1 at line 2.
b) Calculate the magnitude of the magnetic force F21, in newtons, that the current in line 1 exerts on line 2.

c) Assume a typical power line has a mass of 890 kg per 1000 m. How many times larger would the current in both lines have to be for the magnetic force on the line to equal the force of gravity?

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