A (500-W) industrial carbon dioxide cutting laser is capable of curting (3.0-mathrm{mm}) thick steel at a rate

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A \(500-W\) industrial carbon dioxide cutting laser is capable of curting \(3.0-\mathrm{mm}\) thick steel at a rate of \(20 \mathrm{~mm} / \mathrm{s}\). Carbon dioxide lasers operate at a wavelength of \(10.6 \mu \mathrm{m}\). If the spot size of the cutting laser is \(0.17 \mathrm{~mm}\) in diameter and the intensity is uniform in this spot, what are the magnitudes of the Poynting vector, the rms magnetic field, and the rms electric field for this laser?

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