Question

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 .

Answer 1

Given:

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

The temperature coefficient of resistivity is

`\alpha=4.3*10^(-3)\text{ }^(\circ)C^(-1)`

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

Step-by-step explanation:

The resistance can be calculated as

`\begin{gathered} R^(\prime)=\text{ R\lparen1+}\alpha(T^(\prime)-T)\text{\rparen} \\ =9.28(1+4.3*10^(-3)(24.97-0)) \\ =10.28\text{ }\Omega \end{gathered}`

Thus, the resistance is 10.28 ohms