Right end of a metallic conductor of length 2 m, cross section area 5 × 10–4 m2 and thermal coefficient 80 W/m-k. is maintained at temperature of 20°C. If an electrical resistance delivering a constant power 2 watt is attached to the conductor at the left end, then temperature at the section of conductor at a distance 1.2 m from the left end (neglect radiation effect) will be (in degree C):

Engineering

Physics

Conduction of Heat

Question

Right end of a metallic conductor of length 2 m, cross section area 5 × 10^–4 m² and thermal coefficient 80 W/m-k. is maintained at temperature of 20°C. If an electrical resistance delivering a constant power 2 watt is attached to the conductor at the left end, then temperature at the section of conductor at a distance 1.2 m from the left end (neglect radiation effect) will be (in degree C):

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$2 = \frac{80 \times 5 \times 10^{- 4}}{2} \times (T - 20)$

T = 20

$\frac{120 - 20}{2} = \frac{120 - T}{1 .2}$

T' = 60°C