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A particular thermal system involves three objects of fixed shape with conduction resistances of R1 =...

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Physics

A particular thermal system involves three objects of fixedshape with conduction resistances of R1 = 1 K/W, R2 = 2 K/W and R3= 4 K/W, respectively. An objective is to minimize the totalthermal resistance Rtot associated with a combination of R1, R2,and R3. The chief engineer is willing to invest limited funds tospecify an alternative material for just one of the three objects;the alternative material will have a thermal conductivity that istwice its nominal value. Which object (1, 2, or 3) should befabricated of the higher thermal conductivity material to mostsignificantly decrease Rtot? Hint: Consider two cases, one forwhich the three thermal resistances are arranged in series, and thesecond for which the three resistances are arranged inparallel.

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