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What are the D and E field in a dielectric sphere in uniform E field?
Q. Is there a difference between the D and E field in a dielectric sphere placed in a uniform electric field? If you can give me a link showing the D and E field, I will be very grateful. In general, for an isotropic dielectric, are the D and E fields always in the same direction? And for an isotropic magnetic material, are the H and B fields always in the same direction? When will they be in the same direction and when will they point in different directions? If you know good articles describing this well, do also tell me. Thanks.
Asked by Daniel T - Wed Jan 14 10:57:14 2009 - - 2 Answers - 0 Comments
A. The electric displacement field is related to the electric field by: D = epsilon E, where epsilon is the permittivity of your dialectric. Yes, they are in the same direction in an isoltropic dialectric, and yes, the same thing goes for H and B. If the medium is not isotopic, the permittivity can depend on the direction of the field, so the polarization can be not parallel to the field, so D and E can point in different directions. Most undergrad E&M books (like Griffiths) should work out in detail what happens in a uniform E-field when you plop a dielectric sphere (or a conducting sphere or whatever) in it. Here's your exact problem:
Answered by ( )Mistress Bekki - Wed Jan 14 11:04:35 2009
Q. Is there a difference between the D and E field in a dielectric sphere placed in a uniform electric field? If you can give me a link showing the D and E field, I will be very grateful. In general, for an isotropic dielectric, are the D and E fields always in the same direction? And for an isotropic magnetic material, are the H and B fields always in the same direction? When will they be in the same direction and when will they point in different directions? If you know good articles describing this well, do also tell me. Thanks.
Asked by Daniel T - Wed Jan 14 10:57:14 2009 - - 2 Answers - 0 Comments
A. The electric displacement field is related to the electric field by: D = epsilon E, where epsilon is the permittivity of your dialectric. Yes, they are in the same direction in an isoltropic dialectric, and yes, the same thing goes for H and B. If the medium is not isotopic, the permittivity can depend on the direction of the field, so the polarization can be not parallel to the field, so D and E can point in different directions. Most undergrad E&M books (like Griffiths) should work out in detail what happens in a uniform E-field when you plop a dielectric sphere (or a conducting sphere or whatever) in it. Here's your exact problem:
Answered by ( )Mistress Bekki - Wed Jan 14 11:04:35 2009
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