Electrics - conductor

The wire is 107 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 that represents the wire's overall length as a temperature function. What is the length of the wire at a temperature of 65 °C?

Correct answer:

x =  108.0433 m

Step-by-step explanation:

$$\begin{gathered} l=107\text{m} \\ \alpha =0.15\text{mm}\to \text{m}=0.15:1000\text{m}=0.00015\text{m} \\ t=65\text{°C} \\ \Delta =t-0=65-0=65\text{°C} \\ x=l\cdot (1+\alpha \cdot \Delta )=107\cdot (1+0.0002\cdot 65)=108.0433\text{m} \end{gathered}$$

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