7. Represent (draw the magnetic flux lines, including their direction, of a) a wire along the x-axis, carrying a positive current in the positive direction of the x-axis; b) a loop of current on the xy-plane, centered at the origin and carrying a current along ao; c) a solenoid with axis along the z-axis, centered at the origin and carrying a current in the adirection; d) a toroid with axis along the z-axis, centered at the origin and carrying a current with positive direction toward the adirection; e) A bar magnet along the z-axis, centered at the origin; the South Pole is the part of the space with positive z and the North Pole has negative z coordinates. Place a magnetic needle at a point P on the plane z = 0 and draw it as it would orient due to the presence of the bar magnet (indicate N and S of the magnetic needle).