Two identical conducting rods A B and C D are connected to a circular ring at two diametrically opposite points B and C . The radius of the ring is equal to the length of rods A B and C D . The area o

Question

Two identical conducting rods A B and C D are connected to a circular ring at two diametrically opposite points B and C . The radius of the ring is equal to the length of rods A B and C D . The area of cross-section and the thermal conductivity of the rod and ring are equal. Points A and D are maintained at temperatures 10 0 ∘ C and 0 ∘ C. The temperature of point C will be (Figure 4.45):

TestHub · Accepted Answer

Let a rod have resistance r . Each half ring has length π R , resistance π r , and the two in parallel give 2 π r ​ . Total = r ( 2 + 2 π ​ ) = 3.57 r . The drop across C D is 100 × 3.57 r r ​ = 2 8 ∘ C, so T C ​ = 2 8 ∘ C. C.

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