The equation of the electric field of an electromagnetic wave propagating through free space is given by : E= 377 (6.27 × 10^ 3 t-2.09 × 10^ -5 x) N / C The average power of the electromagnetic wave is ((1)/(α)) W / m^

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From the electric field equation, amplitude:

E_0 = \sqrt{377}

N/C
Average intensity of EM wave:

I_{avg} = \frac{E_0^2}{2Z_0}

where

Z_0 = \sqrt{\mu_0/\varepsilon_0} = 377

Ω

I_{avg} = \frac{(\sqrt{377})^2}{2 \times 377} = \frac{377}{2 \times 377} = \frac{1}{2}

W/m²
Given

I_{avg} = \frac{1}{\alpha}

W/m², we have

\frac{1}{\alpha} = \frac{1}{2}

Therefore,

\alpha = 2

The equation of the electric field of an electromagnetic wave...

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