Gravity & Magnetism: Does it Affect Electrical Charges & Coils?

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Gravity influences all objects with mass, including electrical charges and magnetic fields in coils. Both Newtonian and General Relativity theories affirm that gravity impacts everything, regardless of size. The discussion emphasizes that even small-scale phenomena are affected by gravitational forces. This understanding aligns with current scientific principles regarding gravity's universal influence. Therefore, gravity does indeed affect electrical charges and magnetism in coils.
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My physics sucks but does gravity affect electical charges inside devices... Does it affect magnetism in coils... I thought it has an affect on anything regardless of how small it is.. right?
 
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In Newtonian theory it affects EVERYTHING which has the property of "mass". In GR theory it affects EVERYTHING, since it apperars in the equations of motion (geodesic equations). So, yes, according to us so far understanding of gravity, gravity affects everything, reagrdless its space scale.
 

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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...
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Thread 'Applying the Gauss (1835) formula for force between 2 parallel DC currents'

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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...
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