A Cubical frame is made by connecting $$12$$ identical uniform conducting rods as shown in the figure. In the steady state the temperature of junction A is $$1000C$$ while that the G is $$00C$$. Then,

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A Cubical frame is made by connecting $$12$$ identical uniform conducting rods as shown in the figure. In the steady state the temperature of junction A is  $$1000C$$ while that the G is $$00C$$. Then,

Infinity Learn · Accepted Answer

AB:$$100$$−$$T1=R$$ΔQΔt−−−−$$1$$ $$or100$$−$$T1=Ri$$​BC:$$T1$$−$$T2=R$$Δ$$Q2$$Δt −−−−$$2$$​CA:$$T2=R$$ΔQΔt        −−−−$$3$$​$$2$$÷$$3$$​$$T1$$−$$T2T2=R$$Δ$$Q2$$ΔtRΔQΔt​⇒$$T1$$−$$T2T2=12$$​⇒$$2T1$$−$$2T2=T2$$​⇒$$2T1=3T2$$​⇒$$T1=3T22$$−−−−$$4$$​​From $$1$$ and $$3$$​⇒$$100$$−$$T1=T2$$−−−$$5$$​from $$4$$ and $$5$$​⇒$$100$$−$$3T22=T2$$​⇒$$100=5T22$$​⇒$$T2=40$$°C​substitute in $$4$$​⇒$$T1=3402=60$$°C​​Temperature of B,E,D (60$$°$$C) is hotter than H,F,$$C(40$$°$$C)$$

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