How Is the Red Part of Stratton's Equation Derived from Light Pressure?

AI Thread Summary
The discussion centers on the derivation of the "RED" part of Stratton's Equation, which is attributed to light pressure but lacks a clear derivation in the source material. The original poster seeks clarification on how to derive this specific component and mentions a reference (reference 19) that may provide additional context. Participants express a lack of access to the relevant book, limiting their ability to assist. The conversation highlights a need for further exploration of the equation's derivation and the significance of reference 19. Overall, the thread emphasizes the challenge of understanding this aspect of Stratton's work.
mertcan
Messages
343
Reaction score
6
upload_2017-3-6_11-51-8.png
Hi everyone, initially I would like to put into words that this equation in my attachment is provided by Julius Adams Stratton but he do not derive the equation. The only part I do not understand and can not derive is the "RED" part. He just says it results from light pressure. So, I would like to ask : How can we reach this formula painted with RED? How do we derive this part ?
 

Attachments

  • upload_2017-3-6_11-49-48.png
    upload_2017-3-6_11-49-48.png
    19.3 KB · Views: 481
Physics news on Phys.org
What is reference 19?
 
DrClaude said:
What is reference 19?
upload_2017-3-6_12-11-16.png
 
DrClaude said:
What is reference 19?
Additionally, I have the book but nothing is derived...So, Any idea related to how to derive the "RED" part?
 
@DrClaude Could you express something about my question after I shared the reference?
 
mertcan said:
@DrClaude Could you express something about my question after I shared the reference?
I dinät have access to that book right now, so I can't help for the moment. Maybe someone else will chime in in the mean time.
 
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