Thermal Properties Of Matter

The temperature dependence of the resistance of a conductor is given by the formula: Where:
- is the resistance at temperature ,
- is the resistance at a reference temperature ,
- is the temperature coefficient of resistance,
- is the temperature at which the resistance is measured,
- is the reference temperature. Given:
- (resistance at 25°C),
- (resistance at 125°C),
- ,
- . (i) To find the temperature coefficient of resistance : Using the formula: Substitute the known values: Simplifying: Solving for : Thus, the temperature coefficient of resistance is . (ii) To find the resistance of the wire at 425°C, use the formula again: Substitute the known values: Thus, the resistance of the wire at 425°C is .