Discussion
The energy density stored in a region carrying both fields is
Answer: C
Correct answer: \( \tfrac{1}{2}\epsilon E^2 + \tfrac{1}{2}\mu H^2 \)
The electric and magnetic energy densities add, each with its factor of one half, in the same way that \( \tfrac{1}{2}CV^2 \) and \( \tfrac{1}{2}LI^2 \) add in a circuit. In a plane wave the two terms are equal at every instant, so the energy is shared evenly between the fields. The difference of the two terms and the cross product are different quantities entirely - the latter is the Poynting vector itself.
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