Question

To what temperature (in °C) must you raise a copper wire, originally at 20.0°C, to triple its resistance, neglecting any changes in dimensions?

Answer 1

528.91°C

Step-by-step explanation:

Neglecting any change in dimensions, the way that the resistance of a material changes after a variation in its temperature is given by the expression:

`R = R_o*(1+\alpha *(T_f-T_o))`

Where
`R_o` is the original resistance.

`\alpha` is the temperature coefficient of the material, that relates the percentage that the resistance of the material will increase after a raise of 1°C in temperature. For copper, this value is equal to 0.00393/°C.

`T_f` and
`T_o` is the final and original temperature, respectively.

`T_f = (((R)/(Ro)-1))/(\alpha)+T_o=(3-1)/(0.00393  oC^(-1))+20.0 oC = 528.91oC`