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

In summary, the conversation discusses the components of an electromagnetic potential four-vector and a time-independent electromagnetic field in the lab frame. The electric and magnetic potentials are given as V=(x^2)y and A=(xy-xz, yz-yx, zx-zy). The task is to find the electric and magnetic fields in both the lab frame and a frame moving at 4c/5 in the x-direction relative to the lab frame by using Lorentz transformation.
  • #1
physguy420
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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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  • #2
Can you do part (a) ?
 
  • #3
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.
 

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

What is the theory of relativity?

The theory of relativity is a concept in physics that was developed by Albert Einstein in the early 20th century. It is divided into two parts: the special theory of relativity and the general theory of relativity. These theories explain how objects and energy behave in the presence of massive objects and at high speeds.

How does relativity affect our understanding of time and space?

The theory of relativity states that time and space are not absolute but are relative to the observer's frame of reference. This means that time and space can appear differently depending on an observer's relative speed and the strength of the gravitational field they are in.

What is the connection between relativity and electromagnetism?

The theory of relativity and electromagnetism are closely connected. Einstein's special theory of relativity explains how electric and magnetic fields are observed differently by moving observers. This led to the development of the theory of electromagnetism, which describes the relationship between electrical and magnetic fields.

What are some practical applications of relativity and electromagnetism?

Relativity and electromagnetism have many practical applications in modern technology. GPS systems, for example, use the theory of relativity to make accurate calculations while taking into account the time dilation effects of satellite orbits. Electromagnetism is also used in a variety of devices such as radios, televisions, and computers.

Are there any unsolved problems or controversies related to relativity and electromagnetism?

While the theories of relativity and electromagnetism have been extensively tested and confirmed, there are still some unsolved problems and controversies. One major issue is the unification of the theories, as they seem to contradict each other in some cases. Another ongoing debate is the existence of gravitational waves, which were predicted by Einstein's theories but have yet to be directly detected.

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