HEAT GENERATION

Consider a $30$ cm $-$thick wall $(k=2W{m}^{-1}{K}^{-1})$ with an inner heat generation equal to $p=5000W{m}^{-3}.$

A temperature $(T_A=30C)$ is imposed on one side $($side A $)$ of this wall, while the other side $($side B$)$ dissipates a heat flux equal to $200W.m^{-2}.$

How is the temperature at any point of the wall?

Determine where the temperature reaches its maximum and calculate its value.

What is the temperature of the side B$?$

Provide the expression of the heat flux in the wall and calculate its value on side A $.$