A plane electromagnetic wave \( \mathbf{E}=\mathbf{E}_{m} \cos (\omega t-\mathbf{k r}) \) propag...

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A plane electromagnetic wave \( \mathbf{E}=\mathbf{E}_{m} \cos (\omega t-\mathbf{k r}) \) propagates in vacuum. A'ssuming the vectors \( \mathbf{E}_{m} \) and \( \mathbf{k} \) to be known, find the vector \( \mathbf{H} \) as a function of time \( t \) at the point with radius vector \( \mathbf{r}=0 \).
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