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Question: Six similar bars each of thermal resistance R are joined to form a regular tetrahedron as shown in t...

Six similar bars each of thermal resistance R are joined to form a regular tetrahedron as shown in the figure. Point D is maintained at a constant temperature T 0C and point C at 00C. Temperature of junction A is –

A

T4\frac{T}{4}

B

T3\frac{T}{3}

C

T2\frac{T}{2}

D

T5\frac{T}{5}

Answer

T2\frac{T}{2}

Explanation

Solution

Temperature of junction A is TA

KA(T−TA)l\frac{KA(T - T_{A})}{\mathcal{l}} = KA(TA−0)l\frac{KA(T_{A} - 0)}{\mathcal{l}}

Ž T– TA = TA

Ž TA = T2\frac{T}{2}