Are E and B Fields Always Perpendicular?

  • Thread starter Valayar
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In summary, the question is whether (E|B) is always equal to 0. The answer is no, as in the case of electromagnetic waves, the non-perpendicular component of E and B can be more intense than the perpendicular component. This means that in most cases, we will observe E and B perpendicular to each other and the direction of propagation. However, in static regime with charges and currents, E and B may not always be perpendicular to each other.
  • #1
Valayar
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Hello,

Is it always true that [tex](E|B) = 0[/tex] ?

If the answer is "no". In which cases is it true ?

Thank you !
 
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  • #2
Even in electromagnetic waves, as they are generated by oscillations of charges, E is not perpedicular to B. What seems to happen here is that the non perpendicular component of these fields to the direction of propagation (Poynting vector) falls more intensely than the perpendicular component. Therefore, far way, we are likely to observe just E and B perpendicular to each other and also to the direction of propagation.

If you set charges in static regime and set currents with other charges you will probably fill the space with E's and B's which are not perpendicular to one another mostly.

best wishes

DaTario
 
  • #3



Hello,

Thank you for your question! I can confirm that it is not always true that (E|B) = 0. This statement is known as the perpendicularity of electric and magnetic fields, and it refers to the fact that these two fields are always perpendicular to each other in a vacuum. However, in certain situations, this may not be the case.

For example, in a medium such as a conductor or a plasma, the electric and magnetic fields may not be perpendicular to each other. This is because these materials can interact with the fields and cause them to change direction. Additionally, in the presence of a strong gravitational field, the perpendicularity of E and B may also be affected.

In summary, while the perpendicularity of E and B is generally true in a vacuum, it may not always hold true in other situations. As scientists, it is important for us to consider all possible factors and variables when studying the behavior of electric and magnetic fields.

I hope this helps to clarify your question. Thank you for your interest in this topic!

 

What is the concept of perpendicularity of E and B?

The perpendicularity of E (electric field) and B (magnetic field) refers to the fact that these two fields are always perpendicular to each other in an electromagnetic wave. This means that the direction of the electric field is always at a 90 degree angle to the direction of the magnetic field.

Why is the perpendicularity of E and B important?

The perpendicularity of E and B is important because it is a fundamental property of electromagnetic waves. It allows us to understand and analyze the behavior of these waves, as well as their interactions with matter. It also helps us to explain many phenomena, such as the propagation of light and the working of electronic devices.

How is the perpendicularity of E and B demonstrated in experiments?

The perpendicularity of E and B can be demonstrated in experiments using various methods. For example, one can use a polarizing filter to show that the electric and magnetic fields of an electromagnetic wave are perpendicular to each other. Another method is to use a Helmholtz coil to generate a uniform magnetic field, and then observe how an electric field is produced when the coil is rotated.

Are there any exceptions to the perpendicularity of E and B?

In most cases, the electric and magnetic fields of an electromagnetic wave are perpendicular to each other. However, in certain situations, such as in the presence of a strong gravitational field or in highly charged particles, the perpendicularity may be slightly altered. Additionally, in some materials, such as birefringent crystals, the electric and magnetic fields may not be exactly perpendicular due to the anisotropic nature of the material.

How does the perpendicularity of E and B relate to the wave nature of light?

The perpendicularity of E and B is a crucial aspect of the wave nature of light. It is a key characteristic that distinguishes electromagnetic waves from other types of waves. The fact that the electric and magnetic fields are perpendicular to each other allows for the propagation of the wave, and also helps to determine its wavelength and frequency. Without this perpendicularity, light would not behave as a wave and we would not be able to explain many of its properties.

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