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

[physguy420]

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

 

[SammyS]

Can you do part (a) ?

 

[vela]

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.