Answered

Felix has placed some Copper wire (where the official looked up inferred absolute temperature is 234.5 Celsius) 28 gauge wire in a freezer at 15.3 degrees Fahrenheit. He measures the resistance of the COLD wire to be 15.3 ohms. What is the length of the wire in units of feet?

Answer :

Answer:

2.14 ft

Explanation:

We will use the following equation:

[tex]L = \frac{R_{T} * A}{p_{20C}*(1+\alpha _{20C}*dt ) }[/tex]

Data obtained:

[tex]R_{15.3 F , -9.27 C} = 15.3 ohms\\A_{28-gauge} = 8.2*10^(-8) m^2\\p_{20 C} = 1.723*10^(-6)\\\alpha _{20C} = 0.00393\\ dt = 20 - (-9.27) = 29.28[/tex]

Using the above equation:

[tex]L = \frac{15.3 * 8.2*10^(-8)}{1.723*10^(-6)*(1+0.00393*29.28 ) }\\\\L =0.6530 m = 2.14 ft[/tex]

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