The resistance of a nichrome wire at `0^(@)C` is `10Omega`. If its temperature coefficient of resistance is `0.004//^(@)C` find its resistance at boiling point of water. Comment on the result.

Explanation

Resistance of a nichrome wire at `0^@R, R_0 = 10Omega`
Temperature co-efficient of resistance, `alpha = 0.004//^@C`
Resistance at boiling point of water, `R_1 = ?`
Temperature of boiling point of water, `T = 100^@C`
`R_T = R_@ (1 + alphaT) = 10[1 + (0.04 xx 100)]`
`R_T = 10 (1 + 0.4) = 10 xx 1.4`
`R_1 = 14 Omega`
As the temperature increases the resistance of the wire also increases.