The resistance values in Table 2.4 are calibrated for operation at 20C. They may be

Chapter 2, Problem 54

(choose chapter or problem)

The resistance values in Table 2.4 are calibrated for operation at \(20^{\circ}C\). They may be corrected for operation at other temperatures using the \(relationship^4\)

\(\frac{R_{2}}{R_{1}}=\frac{234.5+T_{2}}{234.5+T_{1}}\)

where \(T_1\) = reference temperature (\(20^{\circ}C\) in present case)

           \(T_2\) = desired operating temperature

           \(R_1\) = resistance at \(T_1\)

           \(R_2\) = resistance at \(T_2\)

A piece of equipment relies on an external wire made of 28 AWG soft copper, which has a resistance of \(50.0\ \Omega\) at \(20^{\circ}C\). Unfortunately, the operating environment has changed, and it is now \(110.5^{\circ}F\). (a) Calculate the length of the original wire. (b) Determine by how much the wire should be shortened so that it is once again \(50.0\ \Omega\).

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