**Problem Description:**An electromagnetic wave in vacuum travels in the +x-direction with \( E_{\text{max}} = 455 \, \text{V/m} \) and a wavelength of 12.7 m. Calculate the x-component of its Poynting vector at \( x = 0 \), \( t = 0.13 \, \mu \text{s} \). (Use \( c = 2.9979 \times 10^8 \, \text{m/s} \))**Solution Explanation:**To solve this, the x-component of the Poynting vector \( \mathbf{S} \) is given by:\[ S_x = \frac{E \times B}{\mu_0} \]Where \( E \) is the electric field, \( B \) is the magnetic field, and \( \mu_0 \) is the vacuum permeability (\( \mu_0 = 4\pi \times 10^{-7} \, \text{T}\cdot\text{m/A} \)).The magnetic field in a vacuum can be related to the electric field as:\[ B = \frac{E}{c} \]Thus, the instantaneous Poynting vector at \( x = 0 \), \( t = 0.13 \, \mu\text{s} \) can be calculated.

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An electromagnetic wave in vacuum travels in the +x-direction with Emax = 455 V/m and a wavelength of 12.7 m. Calculate the x-component of its Poynting vector at x = 0, t = 0.13 µs. (Use c = 2.9979 × 108 m/s)