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Statement of a problem № 3961

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Consider the solutions of linearly polarized harmonic plane waves E = E0 exp i(wt-kr+f), B = B0 exp i(wt-kr+f) where E0 and B0 are constant vectors associated with maximum amplitude of oscillations. Show that (a) B is perpendicular to E; (b) B is in phase with E and (c) the magnitudes of B and E are related by B = E/c for free space in the SI system.

Solution:
Consider the solutions of linearly polarized harmonic plane waves E = E0 exp i(w

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