To detect an incoming planar electromagnetic wave, we observe a single charged particle that begins at rest

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To detect an incoming planar electromagnetic wave, we observe a single charged particle that begins at rest and is free to move only in the \(x y\) plane. If we observe the particle oscillating along the \(y\) axis, with no motion along the \(x\) axis, what can we say about the direction of the electric and magnetic fields and the direction of wave propagation?

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