# The mean intensity of radiation on the surface of the sun is about 108 W/m2. The RMS value of the corresponding magnetic field is closest to:

Intensity of EM wave -

$I = \frac{1}{2} \epsilon _{o} E_{o}^{2}c$

- wherein

$\epsilon _{o}$ = Permittivity of free space

$E _{o}$ = Electric field amplitude

c = Speed of light in vacuum

I = 108 w/m2

$I =\frac{1}{2} \epsilon _{o} E_{o}^{2}c= \varepsilon_{0}.CE^{2}rms............1$

$E_{rms} = CB_{rms}...........2$

from 1 and 2

$I=\varepsilon _{0}C^{3}B^{2}_{rms}$

$B_{rms} = \sqrt{\frac{I}{\varepsilon _{0}C^{3}}}= \sqrt{\frac{10^8}{8.85\times 10^{-12}\times \left ( 3\times 10^{8} \right )^{3}}}\approx 10^{-4}T$

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