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A Silver Wire Has a Resistance of 2.1 Ω at 27.5 °C, and a Resistance of 2.7 Ω at 100 °C. Determine the Temperature Coefficient of Resistivity of Silver. - CBSE (Science) Class 12 - Physics

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Question

A silver wire has a resistance of 2.1 Ω at 27.5 °C, and a resistance of 2.7 Ω at 100 °C. Determine the temperature coefficient of resistivity of silver.

Solution

Temperature, T1 = 27.5°C

Resistance of the silver wire at T1R1 = 2.1 Ω

Temperature, T2 = 100°C

Resistance of the silver wire at T2R2 = 2.7 Ω

Temperature coefficient of silver = α

It is related with temperature and resistance as

`alpha=(R_2-R_1)/(R_2(T_2-T_1))`

`=(2.7-2.1)/(2.1(100-27.5))=0.0039^@ C^-1`

Therefore, the temperature coefficient of silver is 0.0039°C−1.

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APPEARS IN

 NCERT Solution for Physics Textbook for Class 12 (2018 to Current)
Chapter 3: Current Electricity
Q: 7 | Page no. 127

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Solution A Silver Wire Has a Resistance of 2.1 Ω at 27.5 °C, and a Resistance of 2.7 Ω at 100 °C. Determine the Temperature Coefficient of Resistivity of Silver. Concept: Resistivity of Various Materials.
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