Electrics - conductor

The wire is 106 meters long at 0 °C and at every temperature increase of 1 °C the length increases by 0.15 mm per 1 m length of wire. Determine a function which represents the overall length of the wire as a function of temperature. What is the length of the wire at a temperature of 104 °C?

Correct result:

l =  107.65 m

Solution:

l(t)=106(1+0.15/1000(t0)) l(t)=106+0.0159t  l(104)=106+0.0159104=107.65 ml(t) = 106\cdot (1+0.15/1000\cdot (t-0)) \ \\ l(t) = 106 + 0.0159 \cdot t \ \\ \ \\ l(104) = 106 + 0.0159 \cdot 104 = 107.65 \ \text{m}



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