Question
How does a charge q oscillating at certain frequency produce electromagnetic waves?Sketch a schematic diagram depicting electric and magnetic fields for an electromagnetic wave propagating along the Z-direction.

Answer

Oscillating charge produces an oscillating electric field in space, which produces an oscillating magnetic field, which in turn, is a source of oscillating electric field, and so on.Alternate Answer
An oscillating electric charge produces self sustaining oscillations of electric and magnetic field in free space or vacuum.

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