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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. - Physics

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प्रश्न

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.

संख्यात्मक

उत्तर

Temperature, T1 = 27.5°C

Resistance of the silver wire at T1, R1 = 2.1 Ω

Temperature, T2 = 100°C

Resistance of the silver wire at T2, R2 = 2.7 Ω

Temperature coefficient of silver = α

It is related with temperature and resistance as

α = `("R"_2 - "R"_1)/("R"_2("T"_2 - "T"_1))`

= `(2.7 - 2.1)/(2.1(100 - 27.5))`

= `0.6/152.25`

= 0.0039°C−1

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

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Temperature Dependence of Resistance
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अध्याय 3: Current Electricity - Exercise [पृष्ठ १२७]

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एनसीईआरटी Physics [English] Class 12
अध्याय 3 Current Electricity
Exercise | Q 3.7 | पृष्ठ १२७
एनसीईआरटी Physics [English] Class 12
अध्याय 3 Current Electricity
Exercise | Q 7 | पृष्ठ १२७

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