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Resistance of a wire at temperature t^(@...

Resistance of a wire at temperature `t^(@)C` is `R=R_(0)(1+at+bt^(2))` Here, `R_(0)` is the temperature at `0^(@)C`. Find the temperature coefficient of resistance at temperature t is

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`alpha=(1)/(R ).(dR)/(dt)=(1)/(R_(0)(1+at+bt^(2)))[R_(0)(a+2bt)]`
`therefore alpha=((a+2bt)/(1+at+bt^(2)))`
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