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A plane harmonic electromagnetic wave, having direction (versor i) in a reference system, travels in a vacuum, when it meets along its path an electric

A plane harmonic electromagnetic wave, having direction (versor i) in a reference system, travels in a vacuum, when it meets along its path an electric charge equal to Q = 3 nC and mass m = 5 ng. The charge is bound at the origin of the reference system by an elastic force of constant k = 60 kN/mm and is subject to a viscous force f = v, with = 8 mNs/m. Knowing that due to the electromagnetic wave, the charge performs a harmonic motion of equation r(t) = A cos(t)j (versor j), with A = 1 m and it is in maximum resonance condition (i.e. maximum possible amplitude), determine: a) the pulsation of the incident electromagnetic wave; b) the breadth of the electric field of the wave; c) the intensity of the electromagnetic wave.

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