The plot describing the thermal characteristics of copper wire is given in the figure. Using this plot, for a 1000ft length copper wire with 10 Ω resistance at room temperature (20oC) a) Calculate the resistance value at 100oC. b) Calculate the power consumed in the cable carrying 10A current at this temperature (100oC) in units Watt. c) Calculate the amount of energy consumed in the cable during a day with the conditions in (a) and (b) in units Joules.

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QUESTION -8 The plot describing the thermal characteristics of copper wire is given in the figure. Using this plot, for a 1000ft length copper wire with 10 Ω resistance at room temperature (20oC)
a) Calculate the resistance value at 100oC.
b) Calculate the power consumed in the cable carrying 10A current at this temperature (100oC) in units Watt.
c) Calculate the amount of energy consumed in the cable during a day with the conditions in (a) and (b) in units Joules.
d) A motor with 600Watt output power that works with 85% efficiency is driven with 10A current carried in the cable at 100oC. Calculate the amount of power transformed (dissipated) into heat in this system.
e) Consider that a cooling system is used to cool the cable to 50oC and the cable carries 10A current. How many watts should be the maximum amount of power consumed by the cooling system in order to gain power (consume less total power).

Absolute zero
-273.15°C
Inferred absolute zero
-234.5°C
X
R
0°C
y
R₁
T₁
R2
|
|
|
T₂
°C
Transcribed Image Text:Absolute zero -273.15°C Inferred absolute zero -234.5°C X R 0°C y R₁ T₁ R2 | | | T₂ °C
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