# conductors

1. ### What happens when one of two cocentric spherical shells is grounded?

Hi! I need help with this problem. When the outer shell is grouded, its potential goes to zero, $V_2=0$ and so does it charge, right? $-Q=0$. So the field would be the one produced by the inner shell $E=\frac{Q}{4\pi\epsilon_0 R_1^2}$. When the inner shell is grounded, I think that...
2. ### I Capacitance of two spheres with equal radius

I'm considering two identical spherical conductor each of radius $a$ and separated by a distance $d$, and trying to figure out the capacitance of this configuration. My thoughts are that since capacitance is $$C=\frac {Q}{V}$$ and that the spherical conductors are equipotential surfaces...
3. ### System of multiple conductors: image method

Homework Statement The following figure represent the traversal cut of a system with two cylindrical equal conductors of radius r0 length l at a distance d from one another and at the same distance h of a plane conductor (conductor zero). The dielectric that surrounds the conductors is the air...
4. ### Charge distribution on concentric spheres

Homework Statement Two thin conducting spherical shells have radii R1 and R2.Outer shell is charged to q and inner shell earthed.Find charge appearing on both the shells. Homework Equations The Attempt at a Solution Isnt the charge on inner shell 0 and charge on outer shell remains Q as it...
5. ### I Capacitance Addition Formula Origin

Hello, Could someone help me find a general derivation of the formula for addition of capacitance of conductors? I'm hoping to find something that could be applied to a general assortment of conductors, not just parallel plate capacitors. I look forward to your response, Pete
6. ### Single phase AC 3 wire neutral conductor shock potential?

I have a question with regard to split single phase (in United States) electricity. I understand that there are 2 hot legs each 180 degrees out of phase at +120v and -120v (240v between hot legs) going from transformer to breaker box and a center tapped neutral earth bonded wire at 0v with...
7. ### Modification in Coulomb's Law and its implications

If the coulomb's law instead of following an inverse square relationship, follows an inverse cube relationship, How would it affect an isolated charged conducting sphere? How would it's field vary within the volume and how would the volumetric charge density be affected? Please give in some...
8. ### Ionized gas in a cable

Hi! Does it exist cables using ionized gas / plasma as the conductor available to buy? Thanks in advance!
9. ### A The magnetic field within cylindrical hollow conductor

Hi, While studying the coaxial cable, i noticed that the magnetic field of the inner conductor can pass through the hollow conductor (can be calculated in the region 3). However, the boundary condition of the magnetic field at the surface (between dielectric and perfect conductor) of a perfect...
10. ### Horizontal field line

Homework Statement Homework Equations The z component of the field: $$E_z = \frac{-Qh}{2\pi\varepsilon_0 (r^2+h^2)^{\frac{3}{2}}}$$ The Attempt at a Solution I tried to choose a cylinder for my Gaussian surface such that the radius of it matches with the distance d I am trying to find and...
11. ### I How does charge distribute on connected conductors

This is a question that is vaguely related to coursework but is more for curiosity. Lets say there are two spheres joined by a thin wire in the presence of an electric field: Assume the conductors initially have no charge. Now I am pretty sure without the wire, the charge distribution would...
12. ### B Question about understanding conductors for EM course

So in conductors, the electrons will distribute themselves to the surface via repulsion forces. But why do we say that the electric field inside is zero? If I put a positive charge inside, clearly it will move in some direction from the electric field of generated from the electrons. Also, are...
13. ### Three concentric spherical conductors -- Find the potential

Homework Statement I am not sure whether to put this in the introductory level or advanced. It seems to be relatively introductory in an electromagnetism course. A spherical conductor of radius $a$ carries a charge $q$. It is situated inside a concentric spherical conducting shell of...
14. ### Two touching neutral conductors in electric field separate?

Homework Statement Given a situation like this: Where the two blocks are perfectly conducting materials and are touching, will they separate? If they do separate, will they have the net charge values you calculate in the initial setup using Gauss's Law? There are no numbers, it's just...
15. ### Sheet resistance expression

Hello!! I have in my notes an expression for the sheet resistance of a uniform conductor with length L, width W = L and thickness t. It is R_{\square} = \displaystyle \frac{\sqrt{\displaystyle \frac{\pi f \mu}{\sigma}}}{1 - e^{-t/\delta}} = \displaystyle \frac{1}{\sigma \delta} \frac{1}{1 -...
16. ### Detecting the charge distribution within a Faraday cage

Imagine an uncharged solid spherical conductor. Inside this spherical conductor, there is a cavity of a weird shape carved out of it. And somewhere inside this cavity, there is a charge +q (or rather, a charge distribution of total charge +q). The charge +q induces an opposite charge -q on the...
17. ### Potential of a Charged Spherical Shell

Homework Statement A hollow spherical conductor, carrying a net charge +Q = 47 pC, has inner radius r1 = 5.9 cm and outer radius r2 = 11.9 cm. At the center of the sphere is a point charge +Q/2. a. Find the potential at r = 18.0 cm. b. Find the potential at r = 10.0 cm. c. Find the potential...
18. ### What would happen if a stream of electrons hits a conductor?

I don't know much about particle physics, but out of curiosity I was wondering what would happen if a stream of electrons hit a conductor, say copper plating, an would it be detectible?