Magnitude of the Line Charge Density of a Power Line

In summary, the individual was confused about how to use Latex on a website and attached a file with their work and thought process. They were directed to a guide for using Latex and expressed appreciation for the helpfulness and welcoming nature of the community. They also mentioned wanting to use a better equation, closer to ## dV = -E\, dr ##.
  • #1
frankifur
3
3
Homework Statement
The potential difference between the surface of a 3.1 cm - diameter power line and a point 1.4 m distance is 3.9 kV.
Relevant Equations
Delta V = - E Delta r
Phi = Integral (E A) = qenc/epsilon naught
Okay so I am a little confused as to where I made a mistake. I couldn't figure out how to program Latex into this website but I attached a file with the work I did and an explanation of my thought process along the way.
 

Attachments

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  • #2
Welcome to PF.

frankifur said:
I couldn't figure out how to program Latex into this website
See the "LaTeX Guide" link at the lower left of the Edit window. :smile:
 
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  • #3
Hello @frankifur ,
:welcome: ##\qquad## !​

frankifur said:
confused as to where I made a mistake

You want to use something better than ##\Delta V = -E\,r ##. Closer to ## dV = -E\, dr ##.

##\ ##
 
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  • #4
I figured it out, thanks for the help and I appreciate how welcoming you all have been!
 
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FAQ: Magnitude of the Line Charge Density of a Power Line

What is the magnitude of the line charge density?

The magnitude of the line charge density (λ) is a measure of the amount of electric charge per unit length along a power line. It is typically expressed in units of coulombs per meter (C/m).

How is the line charge density of a power line calculated?

The line charge density is calculated by dividing the total charge (Q) distributed along the length of the power line (L). Mathematically, it is represented as λ = Q / L.

Why is the line charge density important in power lines?

The line charge density is crucial because it affects the electric field around the power line, which in turn influences the potential for electrical interference, corona discharge, and the overall efficiency of power transmission.

What factors influence the line charge density of a power line?

Several factors can influence the line charge density, including the voltage level of the power line, the physical configuration of the conductors, the presence of nearby conductive materials, and environmental conditions such as humidity and temperature.

How can the line charge density be measured or monitored?

The line charge density can be measured using specialized instruments such as field meters or electrostatic voltmeters. These devices can detect the electric field generated by the charge on the power line and calculate the corresponding charge density.

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