He said he mostly wanted us to compare it to the potential of an infinite wire, where reference point at infinity can't be taken. I'm guessing there's a natural log somewhere in the real potential function.
Yes, but in order to find the potential from the electric field, we need a function. The only way I know of how to get the electric field at the origin gives a constant that can't be integrated from -infinity to 0
We were told there was a finite solution to the potential by the professor. The electric field is non-uniform and decreasing as it moves away from the origin in the negative x-direction, so if I do work between two points, there should be a potential difference.
What method would I use to...
Each charge has a different magnitude, and they're at different locations, so other than on the horizontal axis, each point charge will have a different direction making a very complicated electric field.
Summary: Potential at origin of an infinite set of point charges with charge (4^n)q and distance (3^n)a along x-axis where n starts at 1.
From V=q/r, we find Vtotal=sum from 1 to infinity of (4/3)^n(q/a), which diverges. There cannot be infinite potential because there is a finite electric...
I'm confused what's meant by a uniform surface current density since this plane has a thickness, It would need a current density distributed through its cross sections, I thought.
Edit: I tried solving with proper LaTeX and all my steps, but it looked awful. For outside, I got B=µ_0jd/2.
In my textbook, it is talking about the Hall Effect on a flat conductor with width w carrying a current i in a uniform magnetic field perpendicular to the plane of the strip. It says that this will create a potential difference of V=E/w where E is the induces electric field from the electrons...
The Attempt at a Solution
I found part A plenty fine, 2kq/a
From here, I thought that the derivative of -V would give me the electric field, giving -2kq/a^2, but that's not the answer according to what my professor sent. I'm wondering...