How Does Gauss' Law Apply to an Infinite Charged Wall?

[RobTwox]

Yes. Note that the D here corresponds to the field at an arbitrary point where y is greater than 2. Putting it together, what do you find for D (or E) at an arbitrary point outside the wall?

SO we have

E = 2 ρ_v / ε0

If this is correct then it implies that distance does not matter once outside of the wall. Is this right

 

[TSny]

Yes, that is right. The only thing left is to think about what happens when you go to points with negative values of y. In particular, will E_y be positive or negative?

 

[RobTwox]

Yes, that is right. The only thing left is to think about what happens when you go to points with negative values of y. In particular, will E_y be positive or negative?

It should be the same magnitude as +y but opposite direction I think

 

[TSny]

Yes. That means E_y is negative for negative y.

 

[RobTwox]

Yes. That means E_y is negative for negative y.

I can tell that this tried your patience. I want you to know that I am so grateful that you stuck it out with me. I am even more grateful that you did not jst give me the answer. Thank you so much

 

[TSny]

Good work.