Question

A conductive wire has resistance of 10 ohm at `0^@C` and `alpha is 1/273^@C`, then determine its resistance at `273^@C`

Answer 1

In such a problem term `alpha DeltaT` will have a larger value so it coutld not be used directly in `R=R_(0)(1+alpha Delta T)`. We need to go for basic. As we know that
`alpha=(dR)/(RdT)`
or `int(dR)/(R)=int alpha dT` or `ln(R_(2))/(R_(1))=alpha(T_(2)-T_(1))`
or `R_(2)=R_(1)e_(1)e^(alpha(T_(2)-T_(1))=10e^(1)=10e`