Two wires #$1$ and #$2$ have the same length and are connected across the same battery. if r$2=4$r$1,$ find $($a$)$ the ratio of their cross$-$sectional areas, A$1/$A$2,($b$)$ the ratio of their resistivities, p$1/$p$2,$ and $($c$)$ the ratio of the currents in each wire I$1/$I$2$