Q.

12 rods of same length are connected to form a cube. Junction ‘A’ is maintained at 0ºC and B at 100ºC. Rods connected to A and B have conductivity k and all other rods have conductivity 2k. Find the temperature of Junction D in ºC.

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answer is 55.56.

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Detailed Solution

Heat current=i=△TRth=1009R12Now, TD-TA=i×RAD=1009R12×5R12⇒TD=5009=55.56
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12 rods of same length are connected to form a cube. Junction ‘A’ is maintained at 0ºC and B at 100ºC. Rods connected to A and B have conductivity k and all other rods have conductivity 2k. Find the temperature of Junction D in ºC.