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A sphere of radius R carries a uniform polarization P and a uniform magnetization M (not necessarily in the same direction). Find the electromagnetic momentum of this configuration.

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A sphere of radius R carries a uniform polarization P and a uniform magnetization M (not necessarily in the same direction). Find the electromagnetic momentum of this configuration.

 

 

 

 

Answered Same Day Dec 25, 2021

Solution

Robert answered on Dec 25 2021
132 Votes
Q. A sphere of radius R ca
ies a uniform polarization P and a uniform
magnetization M (not necessarily in the same direction). Find the electromagnetic
momentum of this configuration.
Ans. To find the momentum of this configuration,
we know
The momentum density is
The field of a pure magnetic dipole at the origin is given below

and for a pure electric dipole we have equation
Now we know the magnetic field of a uniformly...
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