$2\mathrm{.}2$ A $0\mathrm{.}644$ mm diameter copper wire shorts out across a $0\mathrm{.}15$ V source. This causes the wire

to heat up significantly. The wire has a length of $0\mathrm{.}2$ m and is located in $20$ C room air. The

wire's thermal conductivity is $k=385\frac{W}{m}C.$ Finally, the convective coefficient at the surface

of the wire is $15\frac{W}{m}2C.$ For steady$-$state conditions,

$($a$)$ What is the power generated in the wire?

$($b$)$ What is the volumetric heat generation rate $(\frac{W}{m}3)?$

$($c$)$ What are the temperatures at the center and surface of the wire?

$($The resistivity of copper is $1\mathrm{.}68**{10}^{-8}\frac{}{m}($Ohm per meter$))$