- #1
PropulsionMan
- 3
- 0
Homework Statement
First off: these are not homework problems technically, I'm doing these for my own benefit...they're not being graded or collected. Just trying to study for my final.
Problem 1
A thin spherical, conducting metal shell has a radius of 15.0cm. A positive charge of 1.30µC is placed on this shell. What is the electrical potential at a distance of 7.50cm from the center of the shell?
Answer: 160.0kV
Problem 2
Consider a very thin, and infinite in extent sheet of metal which is carrying an evenly distributed electrical current leading to a current density of 10A/m. What is the magnetic field strength a distance of 1.6m above the sheet?
Homework Equations
[itex]\vec{B}[/itex] = [itex]\frac{µ0}{4*∏}[/itex] * [itex]\frac{I*Δ \vec{S} X \widehat{r} }{r^2}[/itex]
B = [itex]\frac{µ0*I*b}{2}[/itex]
[itex]\oint[/itex][itex]\vec{B}[/itex][itex]\bullet[/itex] d[itex]\vec{s}[/itex] = µ0Ithrough
The Attempt at a Solution
Problem 1
My query: I'm looking how to solve this. I'm not sure if you can use an assumption that the charge placed on the shell is now evenly distributed around the shell or not. In addition, I'm also not sure how to get down to electrical potential distance away.
I am assuming that I'll be using the electric field created by the charge placed on the sphere in association with some distance relation, but I'm not sure where to go further than that.
Problem 2
The answer is 0, which means that this is more of a theoretical question than computational, but I'm not sure why.
I tried reading through several sources, and they're effectively resonating with the equation B=[(μ0)(J0)(b)]/2 which seems to be the magnetic field created by the sheet, but void of a distancing element.
Thanks in advance to any and all that help me with this, it's much appreciated and I've spent quite a long time reading my physics textbook trying to figure these out!
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