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Two metal cubes with 3cm edges of copper and aluminum are arranged as shown if figure (k cu =385W/m-K,K Al =209W/m-K) then find the total thermal current from one reservoir to the other
Dear Student,Please find below the solution to your problem.Let the thermal resistance of Al cube be R1.Let the thermal resistance of Cu cube be R2.Applying the formula of thermal resistance,R = l/KAThermal resistance of Al will beR1 = l/KAR1 = 3 × (10^-2)/209 × (3 × 10^-2)^2R1 = 0.159 K/WCalculation of thermal resistance of CuR2 = l/KAR2 = 3 × (10^-2)/385 × (3 × 10^-2)^2R2 = 0.086 K/WFrom the figure we can clearly see that the given two resistances are connected in parallel way, so their equivalent resistance will be -R = (R1R2/R1 + R2)R = 0.159 × 0.086/(0.159 + 0.086)R = 0.055 K/Wthe total thermal current from one reservior to the other = Thermal Difference/Thermal Resistance= (100 – 20)/0.055= 1.45 × 10^3 WHence, the required answer is 1.45 × 10^3Thanks and Regards
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