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The resistance of a conductor at 30^@C i...

The resistance of a conductor at `30^@C` is `3.25 Omega` and at `100^@C` is `3.95Omega`. Calculate the temperature coefficient of resistance of the conductor and the resistance of the conductor at `0^@C`.

Text Solution

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`R_(1) = 3.25 Omega , t_(1) =30^@ C, R_2 = 3.95 Omega , t_(2)=100^@C`
`alpha = (R_(2) - R_(1))/(R_(1)t_(2) - R_(2) t_(1)) = (3.95 - 3.25)/((3.25 xx 100)- (3.95 xx 30)) = (0.70/(325 - 118.5)) = 0.70/206.5 = 0.0034^@ C^(-1)`
`R_0 = R_1/1 + alpha t_(1) =3.25/(1+ (0.0034)xx30) = 3.25/1.102 = 2.95 Omega`
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