A processor is inserted into one side of a PCB board with length t $=2$ cm and thermal conductivity k $=0\mathrm{.}25$ W$/$m$.$K$.$ The rate of heat dissipation in the processor area A $=25$ mm$^2$ is Q$=0\mathrm{.}5$ W$.$ Neglect the thickness of the processor. Assuming that both sides of the plate are exposed to air with temperature Tar $=20$C and h $=250$ W$/$m$^2.$K$,$ determine: $($a$)$ the temperatures of the two faces of the plate $($at which contains the processor and the other$)$; $($b$)$ the heat transfer rates on both sides of the board. $($Ans$.$: $96\mathrm{.}4$C; $23\mathrm{.}6$C; $0\mathrm{.}48$ W; $0\mathrm{.}02$ W$)$ processador