Asked by Jane

To what temperature must you raise a copper wire, originally at 20.0°C, to double its resistance, neglecting any changes in dimensions? (Does this happen in household wiring under ordinary circumstances?)

Answers

Answered by Derek
R=Ro+Ro*a*(T-To)
(2Ro-Ro)/Ro=a*(T-To) we want to double resistance. For example if our initial resistance is 10, we want R to be 20, therefore R=2Ro. (2Ro-Ro)/Ro=1, so

1/alpha=T-To divide by alpha
(1/alpha)+To=T add To to both sides
So To=20C. Alpha from my old old physics book for copper is .0068. Therefore 1/.0068 is 147+20=167C

Answered by Derek
This would not happen in household wiring because of circuit breakers.
Answered by Mr. Bob
The temp coefficient of copper is 0.00386 per unit Celsius.
There are no AI answers yet. The ability to request AI answers is coming soon!

Related Questions