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depends on the length of the conductor
depends on the material of the conductor
depends on the temperature of the conductor
remains constant for a given conductor
depends on the thickness of the conductor
remains constant for a given conductor
The pattern of magnetic field lines produced by a current-carrying conductor depends on the geometry (shape) of the conductor. For example, a straight current-carrying conductor produces concentric circular magnetic field lines, whereas a circular loop produces nearly straight field lines at its center and a solenoid produces a uniform magnetic field similar to a bar magnet.
The pattern of magnetic field lines produced by a current-carrying conductor depends on the geometry (shape) of the conductor. For example, a straight current-carrying conductor produces concentric circular magnetic field lines, whereas a circular loop produces nearly straight field lines at its center and a solenoid produces a uniform magnetic field similar to a bar magnet.
Think of water flowing out of a nozzle: the shape of the water spray pattern changes completely depending on whether you use a straight pipe, a circular sprinkler, or a coiled hose.
SHAPE determines the SHADE of magnetic field lines (Straight = Circles, Circular loop = Straight lines at center, Solenoid = Bar magnet).
According to the Biot-Savart law or Ampere's circuital law, the magnetic field B at any point around a conductor is determined by the current I and the spatial distribution/geometry of the current elements dl. Changing the shape of the conductor alters the spatial superposition of magnetic field vectors produced by each current element, thereby changing the overall pattern of field lines.
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