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List two methods of producing magnetic fields.

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Permanent magnets have a magnetic field of lines around them flowing from the north pole of the magnet to the south pole of the magnet.

A current-carrying conductor generates the magnetic field of lines around it. The determine the direction of the magnetic field, keep the direction of the right-hand thumb in the direction of the current flowing through the conductor, and the direction in which the fingers close to form a fist is the direction of the magnetic field generated. This is also known as the right-hand thumb rule.

Final Answer:
Hence, two methods of producing magnetic fields are permanent magnets and current-carrying conductors.

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