Lorentz transforming electromagnetic potentials at 4c/5

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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

 
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Can you do part (a) ?
 
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