1. The figure below illustrates two protons that are moving with velocity 13 = 2.0 * 1042 i and S v' = 4.0 x 10\"? f. Find the total magnetic eld (magnitude and direction) produced by the two charges at point P if the distance d is equal to 5.0 cm. You can consider out of the page as the positive 2 direction. 2. A long, straight wire is oriented along the z-axis and carries a current of 6.0 A in the positive 2 direction. Find the magnetic eld at a position in space described by the point (3.0, 3.0, 0.0) m induced by a segment of wire of length 1.0 cm. The segment of wire is centered at the origin. 3. The figure below depicts a current carrying wire of 25.0 A in a right angle. The two segments shown are of length dl=4.0 mm and are both located a distance of 5.0 cm from the bend. Find the magnetic field at a point P that lies midway between the two segments as shown. 4. A long, straight wire is carrying a current of 300 A and runs through a cubical box and shown below. The length of each side of the cube is 40.0 cm and the wire runs through the middle of the cube. A segment of wire positioned in the middle of the cube has a length of 0.5 cm. What is the magnetic field at the points a, b, and c. The point a lies in the middle of the top face, point b lies in the middle of one of the edges, and point c is the middle of the front face. 5. How large would the current of a long, straight wire need to be so that the magnetic field has a magnitude of 0.0002 T at a distance of 0.75 cm away? You can assume that the length of the wire is much larger 0.75 cm. 6. A long, straight wire lies along the y-axis and carries a current of 10.0 A in the negative y direction. There exists a permanent magnetic field of magnitude 2.0 * 10- T in the positive x direction in addition to the induced magnetic field. What is the total field at a point in space (0.0, 0.0, 0.5 ) m? You can assume that the length of the wire is much larger than 0.5 m. Bo C X b a