The pattern of the magnetic field around a conductor due to an electric current flowing through it depends on the shape of the conductor. The current flowing through a conductor depends on the geometry of the conductor itself. So the field produces by the current is also strongly depends on the shape of the conductor. Direction of current determines the pattern of magnetic field generated by a current through a conductor. The pattern depends on the shape of the conductor. For example- Circular Loop and Straight current-carrying conductor.

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