1 Answer

Andrey Makarov · Answer 1 · 2023-06-15T08:00:52+0000

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.

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