Magnitude of the Line Charge Density of a Power Line

[frankifur]

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.

 

[berkeman]

Welcome to PF.

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.

 

[BvU]

Hello @frankifur ,

$\qquad$ !​

confused as to where I made a mistake

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

$\$

 

[frankifur]

I figured it out, thanks for the help and I appreciate how welcoming you all have been!