Given:
The resistance of the silver wire is R = 4.6 ohm
The temperature is
[tex]T\text{ = 17 }^{\circ}C[/tex]
The temperature coefficient of the silver wire is
[tex]\alpha\text{ = 0.0038 }^{\circ}C^{-1}[/tex]
Required: The resistance of the wire when the temperature is
[tex]T^{\prime}\text{ = 53}^{\circ}C[/tex]
Explanation:
The resistance of the wire can be calculated by the formula
[tex]R^{\prime}=R[1-\alpha(T^{\prime}-T)][/tex]
On substituting the values, the resistance of the wire will be
[tex]\begin{gathered} R^{\prime}=4.6[1-0.0038(53-17)] \\ =3.97\text{ }\Omega \end{gathered}[/tex]
Final Answer: The resistance of the wire is 3.97 ohm when the temperature is 53 degrees Celsius.
