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A silver wire has a resistance of 2.1 Om...

A silver wire has a resistance of `2.1 Omega` at `27.5^@C`, and a resistance of `2.7 Omega` at `100^@C`, Determine the temperature coefficient of resistivity of silver.

Text Solution

Verified by Experts

Here, `R_(27.5) = 2.1 Omega , R_(100) = 2.7 Omega , alpha = ?`
`alpha = (R_(100) - R_(27.5))/(R_(27.5) xx (100 -27.5)) = 0.0039^@C^(-1)`
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Knowledge Check

  • A wire has a resistance of 2.5Omega at 28^(@)C and a resistance of 2.9Omega at 100^(@)C . The temperature coefficient of resistivity of material of the wire is

    A
    `1.06xx10^(-3).^(@)C^(-1)`
    B
    `3.5xx10^(-2).^(@)C^(-1)`
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    `2.22xx10^(-3).^(@)C^(-1)`
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    `9.95xx10^(-2).^(@)C^(-1)`

  • A wire has a resistance of 3.1 Omega at 30°C and a resistance 4.5 Omega at 100°C. The temperature coefficient of resistance of the wire

    A
    `0.008^(@) C^(-1)`
    B
    `0.0034^(@) C^(-1)`
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    `0.0025^(@) C^(-1)`
    D
    `0.0012^(@) C^(-1)`

  • A platinum wire has a resistance of 2.62 Omega at 15 ^(0)C and 3.29 Omega at 80 ^(@)C . Find the temperature coefficient of the resistance of platinum wire.

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    D
    `934 xx 10^(-3@)C^(-1)`

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