4. Suppose you need to find the magnetic field near the intersection of two long, straight, current-carrying wires. Assume that one wire lies directly on top of the other. Let the intersection of the wires be the origin of a coordinate system and let the point of interest, which is in the same plane, have coordinates (x, y). Recall that the magnetic field is a vector, having both a magnitude and a direction. a. What is the direction of magnetic field B, due to current /,? Explain. b. Write an expression for the magnitude of B. c. What is the direction of magnetic field B, due to current /? Explain. d. Write an expression for the magnitude of B Origin e. What are the only two possible directions for the net magnetic field at this point? f. Would knowing /> 1 be enough information to determine the direction of the net magnetic field? Why or why not? g. Let a magnetic field pointing out of the page have a positive value, one pointing into the page a negative value. This is actually B, the magnetic field along the z-axis. Use your results for parts a-d to write an expression for B, at position (x, y). This will be a symbolic expression in terms of quantities defined on the figure.