Dielectric effect on induced electric field.

AI Thread Summary
A time-varying magnetic field within a dielectric induces a time-varying electric field, as described by Faraday's Law. The dipoles in the dielectric will polarize in response to this induced electric field, which can reduce the net electric field within the dielectric. In a homogeneous linear isotropic dielectric, this results in the net electric field being reduced by a factor of the relative permittivity compared to free space. The discussion highlights the interaction between induced fields and material properties in dielectrics. Understanding these effects is crucial for applications in electromagnetic theory and materials science.
BMPaul
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Hi everyone,

From what I understand if you had a time varying magnetic field inside a dielectric it will induce a time varying electric field according to Faraday's Law:

\nabla\times\mathbf{E}=-\frac{\partial \mathbf{B}}{\partial t}

My question is will the dipoles in the dielectric then polarize to the induced electric field reducing the net electric field in the dielectric (assume the dielectric to be homogeneous linear isotropic dielectric) so that the net electric field is now \varepsilon _{r} time less than if the same thing happened in free space.

Thanks.

PS. this is my first post so tell me if I am doing something wrong or am being vague in what I am asking.
 
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Sorry don't know why I'm getting the maths error. The first equation is Faraday law and the second is the relative permittivity
 
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