In this problem the various wire models and their respective accuracies will be studied. a$.$ Compute the $0\%-50\%$ delay of a $500$um x $0\mathrm{.}5$um wire with resistance of $0\mathrm{.}08/$square$,$ with area capacitance of $30$aF$/$um$2,$ and fringing capacitance of $40$aF$/$um$.$ Assume the driver has a $100$W resistance and negligible output capacitance. $$ Using a lumped model for the wire. $$ Using a PI model for the wire, and the Elmore equations to find t$.$ Using the distributed RC line equations.