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The equation of the electric field of an electromagnetic wave propagating through free space is given by : E= 377 (6.27 10³ t-2.09 10⁻⁵ x ) N / C The average power of the electromagnetic wave is ( 1 ) W / m ² . The value of is _ _ _ _ (Take ₀ _ o =377 in SI units)

Correct answer

0

Step-by-step solution

From the electric field equation, amplitude: E₀ = 377 N/C Average intensity of EM wave: I_ avg = E₀^2 2Z₀ where Z₀ = ₀/ ₀ = 377 Ω I_ avg = ( 377 )^2 2 377 = 377 2 377 = 1 2 W/m² Given I_ avg = 1 W/m², we have 1 = 1 2 Therefore, = 2

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