Problem 3 [15 points] A very long, straight wire with a circular cross-section of radius R is carrying a uniformly distributed current I that flows out of the page. (a) [10 points] Find the magnetic field (magnitude and direction) inside of the wire, as a function of r, the distance from the center of the wire. Draw a few representative magnetic field vectors to indicate the direction.(b) [5 points] The field you found in part (a) is created by all of the electrons carrying the current in the wire. Therefore, a single electron in the wire will feel a force as a result of this field. What is the direction of that force