A rod of length L lies along the y-axis with its center at the origin. The rod has a nonuniform linear charge density λ = a|y| , where a is a constant with the units C/m².
a. Draw a graph of λ versus y over the length of the rod.
b. Determine the constant a in terms of L and the rod’s total charge Q.
c. Find the electric field strength of the rod at distance x on the x-axis.