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2. Consider a system with two electrical line currents in the +z direction, 11-1 and 12-21 located at Fi and F2, respectively, with all coordinates defined as in the previous problem. (a) Sketch the field lines corresponding to the total magnetic field in the xy plane due to the two line currents. (b) If the vectors FiP and hP that point from the line currents to the field point are different than in the previous problem, determine them and their magnitudes. If theyre not different, explain why not. (c) Determine the Cartesian components of the total magnetic field at P due to the line currents. Confirm that the direction of your analytic expression agrees qualitatively with the sketch in part (a) for the special case that the point P is at the origin. (d) A test charge q with mass m passes P with instantaneous velocityvyy. Determine the Cartesian components of the test charges acceleration at the instant it passes P.

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