Question

Suppose you want to to double a copper wire's resistance. To what temperature, in degrees Celsius, must you raise it if it is originally at 24°C, neglecting any changes in dimensions? Suppose you want to to double a copper wire's resistance. To what temperature, in degrees Celsius, must you raise it if it is originally at 24°C, neglecting any changes in dimensions?

Answer 1

T=280.41 °C

Step-by-step explanation:

Given that

At T= 24°C Resistance =Ro

Lets take at temperature T resistance is 2Ro

We know that resistance R given as

R= Ro(1+αΔT)

R-Ro=Ro αΔT

For copper wire

α(coefficient of Resistance) = 3.9 x 10⁻³ /°C

Given that at temperature T

R= 2Ro

Now by putting the values

R-Ro=Ro αΔT

2Ro-Ro=Ro αΔT

1 = αΔT

1 = 3.9 x 10⁻³ x ΔT

ΔT = 256.41 °C

T- 24 = 256.41 °C

T=280.41 °C

So the final temperature is 280.41 °C.