How much would you have to raise the temperature of a copper
How much would you have to raise the temperature of a copper wire (originally at 20 C) to increase its resistance by 26 % ?
Solution
For a given value of temperature coefficient, say, a, we know that the resistance for a metal follows the relation:
R = Ro[1 + a(T)]
Here, R(final) = 1.26 Ro [Since we have to raise the resistance by 26 percent]
That 1.26 = 1 + 0.003862 x T
That is T = 67.32
Therefore, the temperature needs to be raised by 67.32 degrees for the resitance to increase by 26 percent
NOTE: You will have to look up for the temperature coefficient for copper. You can find it in any standard lesson on heat transfer.
