Electromagnetism Problem (Using Electric field E to find D and B)

In summary, the conversation is about finding the displacement and magnetic field created by a propagating electric field in free space, expressed as E = Em Sin (wt - bz)j, using a relevant Maxwell's equation. The problem solver is asking for a step-by-step guide and explanation on how to solve this problem. It is suggested to start by writing down Maxwell's equations and identifying the relevant one(s).
  • #1
keith river
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Given a propagating field expressed as E = Em Sin (wt - bz)j in free space, find the displacement (D) and the magnetic field (B) created by this electric field using a relevant maxwell's equation.

note : w is in fact omega
and b is beta.
j is a unit vector.


I don't know how I'm meant to solve this problem could someone post a step by step guide and say why each step is taken if you could. Thanks.
 
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  • #2
keith river said:
Given a propagating field expressed as E = Em Sin (wt - bz)j in free space, find the displacement (D) and the magnetic field (B) created by this electric field using a relevant maxwell's equation.

note : w is in fact omega
and b is beta.
j is a unit vector.


I don't know how I'm meant to solve this problem could someone post a step by step guide and say why each step is taken if you could. Thanks.

We don't do your homework for you here. You need to make (and show!) a reasonable attempt to get assistance.

As a starting point, the problem statement tells you to use the relevant Maxwell equation, so you might start by writing down Maxwell's equations and then figuring out which one(s) is relevant.:wink:
 

FAQ: Electromagnetism Problem (Using Electric field E to find D and B)

What is the relationship between electric field, D field, and magnetic field?

The electric field (E) is a vector quantity that describes the force per unit charge on a charged particle. The D field is also a vector quantity, but it describes the electric displacement in a material. The magnetic field (B) is a vector quantity that describes the force on a moving charge. These three fields are related by the equations E = D/ε0 and B = μ0H, where ε0 is the permittivity of free space and μ0 is the permeability of free space.

How can electric field be used to find the D field?

The electric field and D field are related by the equation D = ε0E, where ε0 is the permittivity of free space. This means that the D field can be found by multiplying the electric field by the permittivity of free space.

How can electric field be used to find the magnetic field?

The electric field and magnetic field are related by the equation B = μ0H, where μ0 is the permeability of free space. This means that the magnetic field can be found by multiplying the electric field by the permeability of free space.

What is the significance of using electric field to find D and B in electromagnetism problems?

Using electric field to find D and B is significant because it allows us to understand and analyze the behavior of electric and magnetic fields in different materials. This is important in various fields such as electronics, telecommunications, and energy production.

What are some real-life applications of using electric field to find D and B?

Some examples of real-life applications include the design and analysis of electronic circuits, the development of magnetic resonance imaging (MRI) technology used in medical diagnostics, and the study of the Earth's magnetic field for navigation purposes.

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