Answered

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The resistance of a copper wire at 0 oC is 9.28 ohms. What is its resistance at 24.97 oC if the temperature coefficient of resistivity = 4.3 x 10 -3 oC-1 .

Sagot :

Given:

The resistance of copper is R = 9.28 ohms when the temperature is T = 0 degrees Celsius.

The temperature coefficient of resistivity is

[tex]\alpha=4.3\times10^{-3}\text{ }^{\circ}C^{-1}[/tex]

To find the resistance when the temperature is T' = 24.97 degrees Celsius.

Explanation:

The resistance can be calculated as

[tex]\begin{gathered} R^{\prime}=\text{ R\lparen1+}\alpha(T^{\prime}-T)\text{\rparen} \\ =9.28(1+4.3\times10^{-3}(24.97-0)) \\ =10.28\text{ }\Omega \end{gathered}[/tex]

Thus, the resistance is 10.28 ohms

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