Is Coulomb's law valid in a non-inertial frame?

AI Thread Summary
Coulomb's law does not hold in a non-inertial frame, even if charges remain static and the observer does not move. In such frames, the Coulomb force field becomes distorted due to fictitious forces. Specifically, under constant proper acceleration, radiation from static charges is not observed, but the field's distortion invalidates Coulomb's law. Therefore, the conclusion is that the expected Coulomb force will not be experienced as it would in an inertial frame. The discussion highlights the limitations of classical physics in non-inertial contexts.
xxxyyy
Messages
14
Reaction score
2
Hi,
I was wondering, if the charges do not move in a non inertial frame and I don't move too in this frame, will I see the same Coulomb force, some fictitious forces and radiation coming from these static charges?
Thanks!
 
Physics news on Phys.org
A.T. said:
just a distorted Coulomb force field
Note that the distorted field means that Coulomb’s law is not valid. So the short but correct answer to the OP’s question is “no”.
 
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...

Similar threads

Back
Top