How much would you have to raise the temperature of a copper wire (originally at 20˚C) to increase its resistance by 19%? The temperature coefficient of resistivity of copper is 0.0068 ˚C^–1?

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KathLv10

15 Mar 2021

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By how much must the temperature of a copper wire (originally at 20 degrees C) be raised to increase its resistance by 20%? Show all work. Thank you!

Review. When a straight wire is warmed, its resistance is given by according to Equation 27.20, where a is the temperature coefficient of resistivity. This expression needs to be modified if we include the change in dimensions of the wire due to thermal expansion. For a copper wire of radius 0.100 0 mm and length 2.000 m, find its resistance at 100.0°C, including the effects of both thermal expansion and temperature variation of resistivity. Assume the coefficients are known to four significant figures.

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When a straight wire is warmed, its resistance is given by according to the equation, where a is the temperature coefficient of resistivity. This expression needs to be modified if we include the charge in the dimensions of the wire due to thermal expansion. For a copper wire of radius 0.1000 mm and length 2.000 m, find its resistance at , including the effects of both thermal expansion and temperature variation of resistivity. Assume the coefficients are known to four significant figures.