Consider a conductor in the XY plane carrying current to the left. The conductor consists of two straight segments with a length of L parallel to the x-axis and a semicircle with a radius of R. If the conductor is placed in a uniform magnetic field perpendicular to the plane of the wire, pointing outward, determine the total magnetic force on the conductor. Firstly, determine the magnetic force for the individual straight sections carrying current in the x direction. Secondly, divide the curved segment into infinitesimal straight sections having a length of dl at an angle of theta. The infinitesimal length and the magnetic field are perpendicular to each other, and the direction of their cross product is radially outward. So, the magnitude and components of the force on the sections can be determined. By integrating the expression with respect to theta, the force on the whole curved conductor can be determined. Finally, by adding the forces on all three sections, the total force on the conductor in the positive y direction can be obtained.