Question 107: EM waves

Question

Intensity of sunlight is observed as 0.092 Wm$$-$$2 at a point in free space. What will be the peak value of magnetic field at the point?($${\varepsilon _0} = 8.85 	imes {10^{ - 12}}{C^2}{N^{ - 1}}{m^{ - 2}}$$)

Accepted Answer

$${I \over C} = {1 \over 2}{\varepsilon _0}.E_0^2$$
$$ \Rightarrow {E_0} = \sqrt {{{2I} \over {C{\varepsilon _0}}}} $$
$${{{E_0}} \over {{B_0}}} = C \Rightarrow {B_0} = {{{E_0}} \over C}$$
$$ \Rightarrow {B_0} = \sqrt {{{2I} \over {{\varepsilon _0}{C^3}}}}  = \sqrt {{{2 	imes 0.092} \over {8.85 	imes {{10}^{ - 12}} 	imes 27 	imes {{10}^{ + 24}}}}} $$
$$ = 2.77 	imes {10^{ - 8}}$$ T

Answer

2.77 $$	imes$$ 10$$-$$8 T

Answer

1.96 $$	imes$$ 10$$-$$8 T

Answer

8.31 T

Answer

5.88 T

EM waves

Intensity of sunlight is observed as 0.092 Wm$-2 at a point in free space. What will be the peak value of magnetic field at the point?({\varepsilon _0} = 8.85 \times {10^{ - 12}}{C^2}{N^{ - 1}}{m^{ - 2}}$)

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