Problem 2: A 5.0-mm-diameter proton beam carries a total current of I = 1.5mA. The current density in the proton beam, which increases with distance from the center, is given by J = Jean (r/ R), where R is the radius of the beam and Jedge is the current density at the edge. Determine the value of Jedge- a) Fig. 3 shows the cross section of the beam. Compute the current dl flowing through the ring of radius , and width dr shown in the figure. Notice that for small or the area of the ring can be approximated by the dec area of a rectangle that you can get by "unrolling" the ring. FICi. 3: The scheme for Problem 2 bj Sum up the contributions from all rings by integrating of with respect to the radial coordinate F, I - dI. Express Jedge as a function of I and R and compute its value. c) How many protons per second are delivered by this proton beam