Two identical rods A B and C D of length l are joined to a circular ring of radius 2 l at diametrically opposite points B and C . The rods and the ring have equal cross-section and conductivity. A is

Question

Two identical rods A B and C D of length l are joined to a circular ring of radius 2 l at diametrically opposite points B and C . The rods and the ring have equal cross-section and conductivity. A is at 10 0 ∘ C and D at 0 ∘ C. Find the temperature of C in ∘ C (two decimals).

TestHub · Accepted Answer

Let a rod have resistance r . A half ring has length π × 2 l , resistance 2 π r , and two in parallel give π r . The total is r ( 2 + π ) = 5.14 r . The drop across C D is 5.14 100 ​ = 19.45 ∘ C, so T C ​ = 19.45 ∘ C.

Physics - Heat & Thermo Question with Solution | TestHub

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