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The electric field intensity of a plane wave traveling in free space is given by the following expression $$\textbf{E}(x,t)=\textbf{a}_y \: 24 \: \pi \: \: \cos(\omega t – k_0 x) \: \: (V/m)$$
In this field, consider a square area $10 \: \text{cm} \times 10 \: \text{cm}$ on a plane $x+y=1$. The total time-averaged power (in mW) passing through the square area is _____________.