2. Given electromagnetic fields \(\vec{E} = E_0 exp(jkz)\hat{x}\) and \(\vec{H} = H_0 exp(jkz)\hat{y}\) that satisfy the time harmonic Maxwell's equations in free space. 1) Express \(H_0\) and \(k\) in terms of \(E_0\), \(\omega\), and \(\mu_0\). 2) Do the fields represent a uniform plane wave? 3) In what direction does the wave travel? 4) Find its velocity and determine the time-average Poynting vector \(\langle \vec{S} \rangle\). 5) Compute the time- average power density assuming the electric field strength is 10 mV/cm.
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To find the velocity of the wave, we need to know the frequency and wavelength of the wave. However, since these values are not given in the question, we cannot determine the velocity of the wave. Show more…
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