Problem 2 - Ampere's Law [8 points] path The figure shows the cross section of a very long hollow cylindrical thick-walled conductor of external radius a # 7 cm and internal radius b = 3 cm. It carries a current density of magnitude / = 318- in in the direction shown. A long wire along the axis of the conductor carries a current wire = 2 A in the direction shown. (a) [3 points] The path pictured is a 15 cm-side square centered with the conductors. Calculate the result of the integral f B . de along this path in the direction shown (CCW). (b) [5 points] Use Ampere's law to calculate the magnitude and direction (CW or CCW as seen from the left) of the magnetic field at a point located a distance r = 5 cm away from the axis of the cylinder