Question

Please help me solve The temperature coefficient of silver is 0.0038 / degree Celsius

Answer 1

Given:

The resistance of the silver wire is R = 4.6 ohm

The temperature is

`T\text{ = 17 }^(\circ)C`

The temperature coefficient of the silver wire is

`\alpha\text{ = 0.0038 }^(\circ)C^(-1)`

Required: The resistance of the wire when the temperature is

`T^(\prime)\text{ = 53}^(\circ)C`

Step-by-step explanation:

The resistance of the wire can be calculated by the formula

`R^(\prime)=R[1-\alpha(T^(\prime)-T)]`

On substituting the values, the resistance of the wire will be

`\begin{gathered} R^(\prime)=4.6[1-0.0038(53-17)] \\ =3.97\text{ }\Omega \end{gathered}`

Final Answer: The resistance of the wire is 3.97 ohm when the temperature is 53 degrees Celsius.