Electric field inside a charged surface

AI Thread Summary
The electric field inside a conductor is zero because charges redistribute on the surface to minimize repulsion, as explained by Gauss' Law. In contrast, the electric field within an insulator is not necessarily zero, as charges can be distributed throughout the material. This means the electric field inside an insulator depends on the charge density and its distribution. Understanding these principles is crucial for grasping electrostatics. The discussion clarifies the fundamental differences in electric fields between conductors and insulators.
walleye
Messages
1
Reaction score
0
So just to verify (i'm not sure about this):

The electric field inside a conductor is zero?

the electric field inside an insulator is not necessarily zero?

am i right so far?
 
Physics news on Phys.org
Yeah, the reason is because a conductor allows all the charge to accumulate on the surface and distribute itself in a way so that the charges are able to "move as far away from each other as possible"...this causes the electric field inside to cancel via Gauss' Law. In the insulator, charge can be spread throughout the body so the electric field is dependent on the charge density and its distribution inside the object.
 
This is from Griffiths' Electrodynamics, 3rd edition, page 352. I am trying to calculate the divergence of the Maxwell stress tensor. The tensor is given as ##T_{ij} =\epsilon_0 (E_iE_j-\frac 1 2 \delta_{ij} E^2)+\frac 1 {\mu_0}(B_iB_j-\frac 1 2 \delta_{ij} B^2)##. To make things easier, I just want to focus on the part with the electrical field, i.e. I want to find the divergence of ##E_{ij}=E_iE_j-\frac 1 2 \delta_{ij}E^2##. In matrix form, this tensor should look like this...
Thread 'Applying the Gauss (1835) formula for force between 2 parallel DC currents'
Please can anyone either:- (1) point me to a derivation of the perpendicular force (Fy) between two very long parallel wires carrying steady currents utilising the formula of Gauss for the force F along the line r between 2 charges? Or alternatively (2) point out where I have gone wrong in my method? I am having problems with calculating the direction and magnitude of the force as expected from modern (Biot-Savart-Maxwell-Lorentz) formula. Here is my method and results so far:- This...
Back
Top