Electric Field Above a Charged Circular Disk

  • Thread starter Thread starter nibal
  • Start date Start date
AI Thread Summary
To find the electric field above a charged circular disk, start by considering an infinitesimal charge element, represented as σρ dρ dθ, where σ is the surface charge density. Focus on calculating the z-component of the electric field due to symmetry, as the radial components will cancel out. The next step involves setting up and evaluating the integral to sum the contributions from all charge elements. Once the integration is completed, the electric field at a distance z above the center of the disk can be determined. This approach simplifies the problem and leads to a clear solution.
nibal
Messages
2
Reaction score
0
Hello guys,
I have a problem with actually starting up this problem (2.6) in "Intrroduction to electrodynamics" Griffiths.

Question

Find the electric field a distance z above the center of a flat cricular disk of radius R, which carries a uniform surface charge (sigma)?

I am having problems setting it up especially how 'da' looks like and also the whole integral.

Thanks.
 
Physics news on Phys.org
Find the electric field produced by an element of charge \sigma \rho d\rho d\theta at a position along the z-axis. You only need to consider the z-component of field due to the symmetry. Then it's just a matter of integration.
 
Last edited:
Thank you i get it now Tide.
 
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