The magnitude of the Poynting vector of a planar electromagnetic wave has an average value of 0.939

The magnitude of the Poynting vector of a planar electromagnetic wave has an average value of 0.939 W/m2. The wave is incident upon a rectangular area, 1.5 m by 2.0 m, at right angles. How much total electromagnetic energy falls on the area during 1.0 minute

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  1. The  total energy is  [tex]T = 169.02 \ J[/tex]

    Explanation:

    From the question we are told that

        The  Poynting vector (energy flux ) is  [tex]k = 0.939 \ W/m^2[/tex]

        The length of the rectangle is  [tex]l = 1.5 \ m[/tex]

        The  width of the rectangle is  [tex]w = 2.0 \ m[/tex]

        The time taken is [tex]t = 1 \ minute = 60 \ s[/tex]

    The total electromagnetic energy falls on the area is mathematically represented as

          [tex]T = k * A * t[/tex]

    Where A  is the area of the rectangle which is mathematically represented as

               [tex]A= l * w[/tex]

     substituting values

             [tex]A= 2 * 1.5[/tex]

            [tex]A= 3 \ m^2[/tex]

    substituting values

            [tex]T = 0.939 * 3 * 60[/tex]

            [tex]T = 169.02 \ J[/tex]

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