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.

Explanation

Temperature, `T_(1)=27.5^(@)C`
Resistance of the silver wir at `T_(1),R_(1)=2.1 Omega`
Temperature, `T_(2) = 100^(@)C`
Resistance of the silver wire at `T_(2),R_(2)=2.7 Omega`
Temperature coefficient of silver = a
It is related with temperature and resistance as
`alpha = (R_(2)-R_(1))/(R_(1) (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)`.