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 co-efficient of resistivity of silver.

Explanation

Temperature , `T_(1)=27.5^(@)C`
Resistance of the silver wire at `T_(1),R_(1)=2.1Omega`
Temperature , `T_(2)=100^(@)C`
Rsistance of the silver at `T_(2),R_(2)=2.7Omega`
Temperature coefficient of silver =a
It is related with temperature and resistance as
`a=(R_(2)-R_(1))/(R_(1)(T_(2)-T_(1)))`
`=(2.7-2.1)/(2.1(100-27.5))=(0.6)/(2.1xx72.5)=(0.6)/(152.25)`
`=0.0039^(@)C^(-1)` Therefore , the temperature coefficient of silver is `0.0039^(@)C^(-1)` .