Poynting's theorem Manipulate the Maxwell equations involving time derivatives of the electric and magnetic fields to relate the time derivative of the energy density to the divergence of the Poynting vector and a term involving work done on charged particles. Assuming the currect j is localized, discuss the energetics when an integral over a sphere radius R is taken of your equation.

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Poynting's theorem
Manipulate the Maxwell equations involving time derivatives of the electric and magnetic
fields to relate the time derivative of the energy density to the divergence of the Poynting
vector and a term involving work done on charged particles. Assuming the currect j is
localized, discuss the energetics when an integral over a sphere radius R is taken of your
equation.
Transcribed Image Text:Poynting's theorem Manipulate the Maxwell equations involving time derivatives of the electric and magnetic fields to relate the time derivative of the energy density to the divergence of the Poynting vector and a term involving work done on charged particles. Assuming the currect j is localized, discuss the energetics when an integral over a sphere radius R is taken of your equation.
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