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:

Answers (1)

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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