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Comparing the Poynting vector with the circuit expression for power, the two agree because

  • A.both are consequences of Maxwell's equations
  • B.the circuit expression is an approximation to the field one
  • C.the field expression neglects the reactive component
  • D.the circuit expression applies only at low frequency

Answer: A

Integrating the vector over a cross-section of a transmission line returns the product of the voltage and current exactly, with no approximation. Circuit theory is a limiting case of field theory but the power expressions coincide identically wherever both apply.

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