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Q. 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 $E_{x}=36\, \sin \left(1.20 \times 10^{7} z-3.6 \times 10^{15} t\right) V / m$ The average intensity of beam in watt/(metre) $^{2}$ will be

Electromagnetic Waves

Solution:

$I_{ avg }=\frac{1}{2} \varepsilon_{0} E_{0}^{2} \times c=1.719\, W / m ^{2}$