Consider a plane electromagnetic harmonic wave traveling towards the positive x direction in free space, having the

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Consider a plane electromagnetic harmonic wave traveling towards the positive x direction in free space, having the frequency v = 5 x 1015 hertz.

(a) What is the associated wavelength?

(b) Calculate the corresponding values of w and k.

(c) Considering that

calculate (∇ x E) and -(∂B/∂t), and compare the results. Calculate also (∇ x B) and – (∂B/∂t), and compare the results.

(d) Calculate the Poynting vector S and the average Poynting vector < s >.

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