Deriving Conditions for D field

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SUMMARY

The discussion centers on deriving the boundary conditions for the electric displacement field (D) at the interface between two media. It is established that the D field is continuous across the boundary, which is a fundamental assumption in electromagnetic theory. Participants emphasize the importance of understanding the continuity of the D field in relation to transmitted and reflected waves at dielectric interfaces. The inquiry is rooted in reviewing past exam questions related to this topic.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically boundary conditions.
  • Familiarity with electric displacement field (D) concepts.
  • Knowledge of wave propagation in dielectric materials.
  • Basic principles of continuity in physics.
NEXT STEPS
  • Study the derivation of boundary conditions for the electric displacement field (D) at dielectric interfaces.
  • Learn about the relationship between electric displacement field (D) and electric field (E) in different media.
  • Explore the concepts of transmitted and reflected waves at dielectric boundaries.
  • Review past exam questions on electromagnetic boundary conditions for practical application.
USEFUL FOR

Students and professionals in physics and electrical engineering, particularly those focusing on electromagnetic theory and wave propagation in dielectric materials.

hhh79bigo
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Hi there,

I was wondering if anyone would be willing and able to help me with this question.

Q. Derive the boundary condition satisfied by D at the interface between 2 media.

I know that the D field is continuous at the suface, but I need to be able to derive this.

If anyone can help I would be really greatful

Thanks a lot in advance

hhh79bigo
 
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You need to be able to derive that the magnetic field is continuous? I would think that something like continuity would be the original assumption in deriving other outcomes. Are you trying to derive the boundary conditions, i.e. transmitted wave, reflected wave at a dielectric interface?
 
The question stated is a question on a past exam paper, I am trying to review these questions.

I need to derive the boundary counditions satified by D at the interface between 2 media

Please help

Thanks

hhh79bigo
 
Last edited:
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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