Question $1$

For both nodal networks presented below, a$)$ write the explicit equations for $T_5$ and $T_6$ using the energy balance method for a transient heat transfer problem without heat generation. Assume a thickness $L($direction normal to this page$).$ You may have to use resistance networks. b$)$ Rewrite the explicit equation for $T_5($for Case A$)$ in the case where node $6$ is not present. Note that nodes $2,6$ and $9$ in Case A are non$-$capacitance nodes $($surface nodes$).$