Energy from the Sun falls on the Earth surface at the rate of 1400 W/m2, which is known as solar con

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Energy from the Sun falls on the Earth surface at the rate of 1400 W/m2, which is known as solar constant. The respective rms values Erms and Brms of electric and magnetic fields in the sunlight (electromagnetic radiation) reaching Earth surface are (Take speed of light c = 3 × 108 m s−1) :-

Accepted Answer

[Key Concept: Intensity of an electromagnetic wave is I = cε₀E_rms², and B_rms = E_rms/c.]

Intensity of light

$$\begin{matrix} I = & \frac{1}{2}\varepsilon_{0}E_{0}^{2}c \\ E_{0} & \ = \sqrt{\frac{2 \times 1400}{3 \times 10^{8} \times 8.85 \times 10^{- 12}}} \\ & \ = E_{\text{rms~}}\sqrt{2} \\ E_{\text{rms~}} & \ = 726v/m \\ {\text{ }B}_{\text{rms~}} & \ = \frac{E_{\text{rms~}}}{c} \\ & \ = 2.42\mu\text{ }T \end{matrix}$$

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