how are the direction of electric current and direction of magnetic field lines related to each other
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Since compasses work by pointing along magnetic field lines, this means that there must be a magnetic field near the wire through which the current is flowing. The magnetic field produced by an electric current is always oriented perpendicular to the direction of the current flow.
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Direction of magnetic field is governed by the 'right hand thumb rule' . ... Hence we concluded that current flowing in a conductor produces magnetic field around it and its direction depends on direction of current in conductor.
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