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Match the term of Poynting's theorem with what it represents.

1. Surface integral of \( \mathbf{E} \times \mathbf{H} \)   2. Volume integral of \( \sigma E^2 \)   3. Time derivative of the energy density integral

P. Ohmic dissipation   Q. Power crossing the boundary   R. Rate of change of stored energy

  • A.1-Q, 2-P, 3-R
  • B.1-P, 2-Q, 3-R
  • C.1-Q, 2-R, 3-P
  • D.1-R, 2-P, 3-Q

Answer: A

The three terms account respectively for what crosses the boundary, what is turned into heat and what is added to the store, and together they balance exactly. Every energy question in field theory reduces to identifying which of the three is wanted.

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