The temperature coefficient of resistivity of a metal is 000

The temperature coefficient of resistivity of a metal is 0.0034/degree C. If a wire of this material has a resistance of 25v ohms at a temperature 25 degree C the temperature when its resistance is 28 ohms is degree C

Solution

Here,

temperature coefficient of resitivity , a = 0.0034 1/degree C

Ro = 25 Ohm

Rf = 28 Ohm

T1 = 25 degree C

let the temperature is T2

Rf = Ro * (1 + a * (T2 - T1))

28 = 25 * (1 + 0.0034 * (T2 - 25))

solving for T2

T2 = 60.3 degree

the temperature at which resistance is 28 Ohm is 60.3 degree