The electric field in an electromagnetic wave is given by E = 56.5 sin ω(t - xc) NC-1. Find the intensity of the wave if it is propagating along x-axis in the free space. (Given ε0 = 8.85 x 10-12 C2 N-1 m-2)

I= 12ε0E02c I = 12x (8.85 x 10-12) (56.5)2 x (3 x 108 )= 4.24 Wm-2 .

I= 12ε0E02c I = 12x (8.85 x 10-12) (56.5)2 x (3 x 108 )= 4.24 Wm-2 .

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The electric field in an electromagnetic wave is given by $E = 56.5 \sin ω (t - \frac{x}{c}) {NC}^{- 1}$ . Find the intensity of the wave if it is propagating along x-axis in the free space. (Given $ε_{0} = 8.85 x 10^{- 12} C^{2} N^{- 1} m^{- 2})$

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5.65 Wm^-2

56.5 Wm^-2

4.24 Wm^-2

1.9 x 10^-7 Wm^-2

answer is B.

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$I = \frac{1}{2} ε_{0} E_{0}^{2} c$

$I = \frac{1}{2} x (8.85 x 10^{- 12}) {(56.5)}^{2} x (3 x 10^{8})$

$= 4.24 {Wm}^{- 2} .$

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