Twelve conducting rods form the riders of a uniform cube of side $'l'.$ If in steady state, $B$ and $H$ ends of the rod are at $100^o C$ and $0^o C$. Find the temperature of the junction $'A'$ ....... $^oC$
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For the cube, net resistance $=\frac{5 R}{6}$
(Where $R=$ thermal resistance of each side)
$H=\frac{100-0}{5 R / 6}$
For side $A$ $\frac{H}{3}=\frac{100-\theta_{A}}{R} \Rightarrow \theta_{A}=60^{\circ} C$
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