1. Consider the base plate of a q=40000w/m2 household iron that has a thickness of L=0.5cm and the thermal conductivity of k=15W/mK. The inner surface of the base plate is subjected to uniform heat flux generated by the resistance heaters inside, and the outer surface loses heat to the environment at TE=20C by the convection. Taking the convection heat transfer coefficient to be h=80W/m2K and discarding heat loss by radiation. Obtain an expression for the variation of the temperature in the base plate and evaluate the temperature at the outer surfaces. (Find the solution analytically) Hint: Remember Fourier heat conduction law for the boundary conditions of the