First slide

Intensity of electromagnetic wave

Question

A flood light is covered with a filter that transmits red light. The electric field of the emerging beam is represented by a
sinusoidal plane wave E_x = 36 sin(1.20×10⁷z – 3.6×10¹⁵t)V/m.
The average intensity of the beam will be

Moderate

A

0.86 W/m²
B

1.72 W/m²
C

3.44 W/m²
D

6.88 W/m²

Solution

$E_{x} = 36 \sin (1.2 x 10^{7} Z - 3.6 x 10^{15} t) {Vm}^{- 1}$
Intensity of the beam
$I = u_{a v g} x C = \frac{1}{2} ε_{0} {E_{0}}^{2} x C = \frac{1}{2} x 8.8 x 10^{- 12} x {(36)}^{2} x 3 x 10^{8}$
I = 1.71 Wm^–2

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