What is the formula for magnetic field when v is close to c?

AI Thread Summary
The formula B = (μ/4π) * (q[vr]/r^3) is applicable when the velocity (v) is much less than the speed of light (c). However, this formula is not valid when v approaches c. For scenarios where v is close to c, a different approach is needed to calculate the magnetic field. The discussion references a specific equation from a physics resource that addresses the magnetic field produced by a single moving charge under relativistic conditions. Understanding these distinctions is crucial for accurate calculations in electromagnetism.
IPhO' 2008
Messages
44
Reaction score
0
We can use B = \frac{\mu}{4\pi} \frac{q[vr]}{r<sup>3</sup>}
when v << c (c is a speed of light) but if v is nearly to c we can't use this formula.
What is a formula when v is nearly to c.
 
Physics news on Phys.org
r3[/SUP ] is r3
 
Thank you.
 

Thread 'Maxwell stress tensor'

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

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...
View full post »

Similar threads

A What is Exponent b in Voltage-to-Area Flaw Relationships?
Replies
7
Views
401
Magnetic field of a point charge moving uniformly
Replies
3
Views
2K
Why -e(v/c)H is the magnetic force?
Replies
7
Views
1K
I Charge movement relative to magnetic field frame dependence/invariance
Replies
5
Views
917
I Dimensional analysis in the formula for gyration frequency
Replies
6
Views
1K
Can a magnetic field ever cause a translation motion?
Replies
12
Views
2K
Ratio of the Electric field to the Magnetic field
Replies
2
Views
5K
B Magnetic field and generator power output
Replies
5
Views
2K
I Average Magnetic Field Between 2 Conducting Rods
Replies
1
Views
1K
B Basic Straight Line Permanent Magnet Accelerator
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top