Consider a dielectric medium whose electric polarization is P(r, t). Demonstrate that the associated scalar potential is equivalent to that generated by a (bound) charge distribution whose change density takes the form Pb = -V.P. In addition, show that the conservation of electric charge requires the existence of a (polar- ization) current density jp Әр Ət

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Consider a dielectric medium whose electric polarization is P(r, t). Demonstrate that the
associated scalar potential is equivalent to that generated by a (bound) charge distribution
whose change density takes the form
Pb = -V.P.
In addition, show that the conservation of electric charge requires the existence of a (polar-
ization) current density
jp
=
OP
Ət
Transcribed Image Text:Consider a dielectric medium whose electric polarization is P(r, t). Demonstrate that the associated scalar potential is equivalent to that generated by a (bound) charge distribution whose change density takes the form Pb = -V.P. In addition, show that the conservation of electric charge requires the existence of a (polar- ization) current density jp = OP Ət
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