A $1-$m length circular shape memory wire with the properties listed in below is subjected to a current to induce heating. The diameter of the wire is $200m.($a$)$ Determine the current required to heat the wire from an ambient temperature of $18C$ to a steady$-$state value of $45C$; $($b$)$ Determine the time required to reach a desired temperature of $35C$ for part $($a$)$; and $($c$)$ Determine the time required to reach a desired temperature of $35C$ for cooling.

$\backslash$table$[[$Representative shape memory properties for heat transfer analysis,$],[,76*cm$