How Do Electric and Magnetic Fields Transform in Different Reference Frames?

  • Thread starter Thread starter physguy420
  • Start date Start date
  • Tags Tags
    E&m Relativity
AI Thread Summary
The discussion revolves around calculating electric and magnetic fields from an electromagnetic potential four-vector in different reference frames. The initial task is to derive the electric and magnetic fields in the lab frame using the given potentials. Subsequently, the focus shifts to transforming these fields to a frame moving at 4c/5 in the x-direction, utilizing Lorentz transformations on the four-potential. Participants emphasize the importance of showing attempts at solving the problems rather than seeking direct answers. The conversation highlights the application of theoretical concepts in practical scenarios.
physguy420
Messages
1
Reaction score
0

Homework Statement


There is an electromagnetic potential four-vector, whose components are (V,Ax,Ay,Az) where V is the electrostatic potential and A is the magnetic vector potential. There is a time-independent electromagnetic field in the lab frame. Its electric and magnetic potentials are:
V=(x^2)y A=(xy-xz, yz-yx, zx-zy)

a) find the electric and magnetic fields in the lab frame.

b) find the electric and magnetic fields in a frame moving at 4c/5 in the x-direction relative to the lab frame. Hint: since the four-potential is a four-vector, you can Lorentz transform it.


Homework Equations





The Attempt at a Solution

 
Last edited by a moderator:
Physics news on Phys.org
Can you do part (a) ?
 
You need to show that you made an attempt and tell us where you're getting stuck. We're not here to do your homework for you.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

I Electromagnetic field in different reference frames
Replies
23
Views
2K
A Looking for linear frame dragging formula
Replies
3
Views
232
Magnetic field generated by a current in a wire - special relativity
Replies
1
Views
2K
Relation between Electric field and Magnetic field?
Replies
12
Views
4K
Lorentz force - particle in an odd magnetic field
Replies
1
Views
2K
Electric field magnitude problem
Replies
27
Views
4K
Angle between electric and magnetic field
Replies
3
Views
2K
Calculating Electric and Magnetic Field amplitude
Replies
23
Views
15K
Motion in a magnetic field and relativity
Replies
21
Views
4K
Electron passing through a magnetic and an electric field
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top