Question

The temperature coefficient of resistance of a conductor is α /0

C .At what temperature

will its resistance twice its resistance at 0 degree celcius​

Answer 1

Given,

The temperature coefficient of resistance of a conductor is α /°C. initial temperature is 0°C.

To find,

at what Temperature will its resistance twice its initial resistance at 0°C.

let initial resistance at 0°C is R

resistance becomes 2R at T °C

now using formula,

R' = R[1 + α∆T ]

⇒2R = R[1 + α(T - 0)]

⇒2 = 1 + αT

⇒1/α = T

therefore at 1/α °C temperature, resistance of conductor will be twice of its resistance at 0°C.