(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Describe the potential inside and outside an infinite insulating sheet with uniform density ρ and thickness d, as a function of x (distance from the center of the sheet). zero potential has been set at its center. What is the potential on the surface of the sheet?

2. Relevant equations

Potential and E.field definitions.

3. The attempt at a solution

I know that inside the sheet ([itex] x<\frac{d}{2}[/itex]) the field is given by

[itex] E=\frac{ρx}{ε_0}[/itex].

so, potential inside the sheet (with ##V_i=0## at ## x=0##) is:

##V_f=-\int^x_0 E\,ds=-\frac{ρx^2}{ε_0}##

similarly, outside the sheet ([itex] x>\frac{d}{2}[/itex]) field is

[itex] E=\frac{ρd}{ε_0}[/itex].

however, I'm not sure about the expression for outside the sheet, is it

##V_f=-\int^\frac{d}{2}_0 E\,ds-\int^x_\frac{d}{2} E\,ds##

?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Potential of infinite sheet with thickness

**Physics Forums | Science Articles, Homework Help, Discussion**