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    What does the Poynting vector represent in electromagnetic theory, and how is its direction determined?
    Question

    What does the Poynting vector represent in electromagnetic theory, and how is its direction determined?

    A.

    The total energy in a wave, with direction perpendicular to the magnetic field

    B.

    The energy density of an electric field, directed along the electric field

    C.

    The power flow per unit area, with direction perpendicular to both electric and magnetic fields

    D.

    The charge flow rate, directed along the magnetic field

    Correct option is C

    In electromagnetic theory, the Poynting vector S represents the rate of electromagnetic energy flow per unit area (power density).It is defined as:S=E×HDirection: Given by the right-hand rule of the cross product Perpendicular to both the electric field E and magnetic field H Indicates the direction of energy propagation\text{In electromagnetic theory, the Poynting vector } \vec{S} \text{ represents the rate of electromagnetic energy flow per unit area (power density).} \\[8pt]\text{It is defined as:} \\[6pt]\vec{S} = \vec{E} \times \vec{H} \\[10pt]\textbf{Direction:} \\[6pt]\bullet \ \text{Given by the right-hand rule of the cross product} \\[4pt]\bullet \ \text{Perpendicular to both the electric field } \vec{E} \text{ and magnetic field } \vec{H} \\[4pt]\bullet \ \text{Indicates the direction of energy propagation}​​

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