The electric fields of two harmonic waves of angular frequency 1 and 2 are given

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The electric fields of two harmonic waves of angular frequency ω1 and ω2 are given by E1 = E1,0 cos (k1x – ω1t)j and E2 = E2,0 cos (k2x – ω2t + δ)j. Find

(a) The instantaneous Poynting vector for the resultant wave motion and

(b) The time-average Poynting vector. If E2 = E2,0 cos (k2x + ω2t + δ)j, find

(c) The instantaneous Poynting vector for the resultant wave motion and

(d) The time-average Poynting vector.

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