Question

Suppose that a positive point charge q is initially at rest on the x-axis, in the path of the electromagnetic plane wave described in Section 32.2. Will the charge move after the wave front reaches it? If not, why not? If the charge does move, describe its motion qualitatively. (Remember that $\stackrel{\mathbf{u}}{\mathbf{E}}$and $\stackrel{\mathbf{\upsilon }}{\mathbf{B}}$have the same value at all points behind the wave front.)

Short answer

A constant acceleration will be experienced by the point charge.

Step-by-step solution

Definition of point charge.

It is a single point in space where a charge is located.

Conclusion.

After reaching the uniform charge, a constant electric field in the wave exerts a constant force on the charge in the direction of E, causing thecharge to accelerate at a constant rate.