“An electric current is always accompanied by a magnetic field” was discovered by
Oersted
Explanation of correct option
Oersted observed that when a compass is kept in the vicinity of a current-carrying conductor shows deflection which shows that the electric current goes hand in hand with the development of a magnetic field.
Thus, an electric current is always accompanied by a magnetic field was discovered by Oersted.
Hence, the correct option is (D).