$(25\backslash \%)$ A long $\backslash (\backslash$boldsymbol$\{$W$\}\backslash )-$kW electrical resistance wire is made of stainless steel with length $\backslash (\backslash$boldsymbol$\{$L$\}\backslash ),$ radius $\backslash ($ R $\backslash ),$ and thermal conductivity $\backslash ($ k $\backslash ).$ The resistance wire operates in an environment at a temperature of $\backslash ($ T$\_\{\backslash$text $\{.\}\}\backslash )$ and heat transfer coefficient of $\backslash (\backslash$boldsymbol$\{$h$\}\backslash ).$ When the operation is steady, determine $($a$)$ the temperature variations within the wire and $($b$)$ the surface temperature and the surface heat flux of the wire.