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The intensity of an electromagnetic wave is 601 mW/m². The RMS value of the magnetic field in the wave is closest to:

a) 70.9
b) 35.5
c) 200
d) 50.2
e) 98.1

Answer :

Final answer:

The question involves finding the RMS value of the magnetic field in an electromagnetic wave given the intensity of the wave. Using relevant formulae and constants, the computed value of B is ≈ 1.4 * 10^(-3) T. However, this answer does not seem to match any of the options provided.

Explanation:

The subject in question pertains to the intensity of an electromagnetic wave and finding the RMS value of the magnetic field. In order to solve this, we can use the relationship between the magnetic field strength and the intensity of the electromagnetic wave.

We can define intensity (I) in terms of the electric field (E) and magnetic field (B) in the wave: I = 0.5 * μ₀ * E * B (Here, μ₀ is the permeability of free space).

Solving this for B, we get: B = sqrt((2 * I) / (μ₀ * c)) where c is the speed of light. Plugging I = 601 mWm² (or 601 * 10^(-3) W/m²), μ₀ = 4π * 10^(-7) T m/A, and c = 3*10^8 m/s, we get B ≈ 1.4 * 10^(-3) T.

Please note that the options provided in the question seem to not include the correct answer and it's considerably smaller than the options presented.

Learn more about Electromagnetic Waves here:

https://brainly.com/question/29774932

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