A straight, vertical conductor coincides with the z-axis and carries a uniform current of 12A upward. A point P is located at coordinates (+0.050m,0,0) in Cartesian space.
(a) Calculate the magnitude of the magnetic field at point P. Show all steps and include appropriate units.
(b) State the direction of this magnetic field using either unit–vector notation or a verbal description relative to the coordinate axes.
(c) During an actual laboratory measurement, the field at P is found to be 2% larger than the value you obtained in part (a). Identify two plausible physical factors that could account for this discrepancy and briefly explain how each factor would affect the reading.