Macmillan Learnin A team of storm physicists is attempting to replicate lightning by charging two long cables stretched over a canyon, as shown. One cable will attain a highly positive and uniform charge density of +2, and the other will attain the same amount of charge density but opposite in sign (i.e., -2). Since the appearance of lightning directly depends on the electric field strength created by charge separation, they must derive an expression for electric field strength between the two cables. The cables are sufficiently long to be approximated as infinitely long. Calculate the magnitude of the electric field strength E between the two cables as a function of λ (the linear charge density) and r (the distance from the positively charged cable). Use eo as the permittivity of free space, and assume the wires are separated by a distance D. If the value of the linear charge density is λ = 40.5 µC/m and the distance between the two cables is D= 40.5 m, calculate the electric field Emid midway between the two cables. E = Emid N/C

Macmillan Learnin A team of storm physicists is attempting to replicate lightning by charging two long cables stretched over a canyon, as shown. One cable will attain a highly positive and uniform charge density of +2, and the other will attain the same amount of charge density but opposite in sign (i.e., -2). Since the appearance of lightning directly depends on the electric field strength created by charge separation, they must derive an expression for electric field strength between the two cables. The cables are sufficiently long to be approximated as infinitely long. Calculate the magnitude of the electric field strength E between the two cables as a function of λ (the linear charge density) and r (the distance from the positively charged cable). Use eo as the permittivity of free space, and assume the wires are separated by a distance D. If the value of the linear charge density is λ = 40.5 µC/m and the distance between the two cables is D= 40.5 m, calculate the electric field Emid midway between the two cables. E = Emid N/C

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

O Macmillan Learning
A team of storm physicists is attempting to replicate lightning
by charging two long cables stretched over a canyon, as
shown. One cable will attain a highly positive and uniform
charge density of +λ, and the other will attain the same
amount of charge density but opposite in sign (i.e., -λ).
Since the appearance of lightning directly depends on the
electric field strength created by charge separation, they must
derive an expression for electric field strength between the
two cables.
The cables are sufficiently long to be approximated as
infinitely long.
Calculate the magnitude of the electric field strength E
between the two cables as a function of λ (the linear charge
density) and r (the distance from the positively charged
cable). Use € as the permittivity of free space, and assume
the wires are separated by a distance D.
If the value of the linear charge density is λ = 40.5 µC/m and
the distance between the two cables is D = 40.5 m, calculate
the electric field Emid midway between the two cables.
E =
Emid
=
N/C

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