4] (Extra Credit + 3 points!!) A long straight wire with radius R has a nonuniform current density'rfl directed purely I, B 2 for R '0' ii I\" E- R and J'i 3' _| = U for I\" 1':- R where is is a constant {it's the magnitude of current density at the outer edge of the wire]. The current in the wire is I. Answer the following questions in terms of the variables given above and any listed in the questions. 3] Find an expression for the constant J5 so that the current is I. Include units. HDCT: I ; J 1R2 because I is ICON- uniform. Io) If the current through this wire is I: 531: the length of the wire is 21n, its area is lrtlt'n' . and its resistivity is along the wire axis with magnitude that varies with radial distance from the center of the wire r as J'li'l=J 1 ,7 X It] '3 Q m = find the resistance of this wire and the Voltage necessary to drive this current. c} How many electrons are transferred along this wire in 10 minutes