A mountaineering clothing company has designed a multi$-$layer heated jacket having a cross section like that shown below. At the mountain summit, heat is

lost to convection with the surrounding air $($h $=20$ W$/$m$^2$ K$,$ Tinfinity$=10$C$).$ The body$$s tissue remains isothermal at Tc$=37$ C and has a contact resistance of Rc$"=10^-4$ m $^2$ K$/$W with the liner of the coat. Using a thermal circuit, determine the heat flux $[$W$/$m$^2]$ that must be supplied by the heater to ensure that the body loses no heat to the surroundings.