Static Charge: A stationary electric charge produces only an electric field in the surrounding space.
Moving Charge: When a charge moves, it constitutes an electric current. According to Oersted's experiment, moving charges or currents produce a magnetic field in the surrounding space .
Uniform Motion: A charge moving with uniform velocity possesses both an electric field (associated with the charge itself) and a magnetic field (due to its motion). Note that if the charge were accelerating, it would also radiate electromagnetic waves (energy).
Conclusion: Therefore, an electric charge in uniform motion produces both an electric field and a magnetic field.
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