Electrodynamics- energy required for 2 charges approaching

AI Thread Summary
In the discussion, the user seeks clarification on calculating the work done when two charges approach each other, specifically using the formula W=q(Vf-Vi). They express confusion about why one charge is designated as q1 and the other as q2, and why the result remains consistent regardless of which charge is kept stationary. The conversation emphasizes that the choice of which charge to hold constant is arbitrary and does not affect the outcome of the calculation. The underlying principle is that electric potential energy changes are independent of the reference charge. Understanding this concept simplifies problem-solving in electrodynamics.
Mokha75
Messages
4
Reaction score
0
Hi guys,

I have a quick q about solving questions where there are two charges q1 and q2 approaching each other (in this textbook problem it is from 0.1 m to 0.01m). I understand that you have to keep one of the charges stationary and use the formula:

W=q(Vf-Vi)
= q1[ (k*q2)/r2 - (k*q2) /r1]

where r2= 0.01m and r1 = 0.01m

however, I don't understand this conceptually, why are we plugging one of the charges in for q1 and how come we get the same answer regardless of which charge we decide to keep constant.

Hope that makes sense.

Thanks in advance!
 
Physics news on Phys.org
It's for convinience make s the problem easy to solve.
As such it is your choice to set the point of reference.
 
Last edited:
nope
 
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