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chancegodwin5
27.09.2019 •
Physics
How much would you have to raise the temperature of a copper wire (originally at 20 ? c) to increase its resistance by 18 % ? the temperature coefficient of resistivity of copper is 0.0068 (? c)? 1?
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Ответ:
R=R₀(1+α(T-T₀)), where R₀ is the resistance at T₀=20°C, T is the temperature for which we want to calculate the resistance and α is the temperature coefficient for resistance.
The resistance of the copper wire increases by 18% or by 0.18, so the new value for the resistance is R=1.18*R₀.
T₀=20°C
=0.0068
R=1.18*R₀
Now we need to input that into the equation for resistance change and solve for temperature T.
1.18R₀=R₀(1+α(T-20)), R₀ cancels out,
1.18=1+α(T-20),
1.18-1=α(T-20), we divide by α,
0.18/α=T-20, we put 20 on the left side,
26.47+20=T
T=46.47°C
So the temperature on which the resistance of copper wire will increase by 18% is T=46.47°C.
Ответ:
the answer is 12
on the bottom half it's 4 squares
the left portion is 5 squares
and the right section is 3 squares