Along cylindrical wire with radius a carries a uniform current density toward the top of the page as shown. a. what ampèrian loop would you use to find the magnetic field at point a? explain, and draw your loop on the diagram. b a b. suppose you doubled the perimeter of your loop, without changing its overall shape or location. i. would this change the current enclosed by your loop? if so, how? ii. given your answer above, how must the magnitude of the magnetic field on the new loop compare to that of the old loop? explain without calculating the magnetic field. iii. how does the magnetic field outside the wire depend on the distance s from the center of the wire? explain without calculating the magnetic field. what ampèrian loop would you use to find the magnetic field at point b? explain, and draw your loop on the diagram. c. using the same reasoning you used in part b, determine how the magnetic field inside the wire depends on s. explain without calculating the magnetic field. d. sketch a qualitatively correct graph of the magnitude of the magnetic field as a function of r. e.