Question

Notify Me Bookmark

As the temperature of a metal rod varies, so does the resistance and the dimensions of the rod. If a copper rod has a resistance of 3.64 Ω at 20.0∘C, determine the resistance of the rod (in Ω ) at 120∘C by accounting for the changes in both the resistivity and the dimensions of the rod. The coefficient of linear expansion for copper is 1.67×10−5 (∘C)−1 and the temperature coefficient of resistivity is 4.04×10−3(∘C)−1. Ω

As the temperature of a metal rod varies, so does the resistance and the dimensions of the rod. If a copper rod has a resistance of 3.64 Ω at 20.0∘C, determine the resistance of the rod (in Ω ) at 120∘C by accounting for the changes in both the resistivity and the dimensions of the rod. The coefficient of linear expansion for copper is 1.67×10−5 (∘C)−1 and the temperature coefficient of resistivity is 4.04×10−3(∘C)−1. Ω

Image text
As the temperature of a metal rod varies, so does the resistance and the dimensions of the rod. If a copper rod has a resistance of 3.64 Ω at 20.0 ∘ C , determine the resistance of the rod (in Ω ) at 120 ∘ C by accounting for the changes in both the resistivity and the dimensions of the rod. The coefficient of linear expansion for copper is 1.67 × 10 − 5 ( ∘ C ) − 1 and the temperature coefficient of resistivity is 4.04 × 10 − 3 ( ∘ C ) − 1 . Ω

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

An iron wire has a resistance of 6.50 Ω at 26.0∘C. Determine its resistance (in Ω) at 426∘C. The temperature coefficient of resistivity for iron wire is 5.00×10−3 (∘C)−1. (Assume that the temperature coefficient of resistivity was measured using the reference temperature 20∘C.) Ω

Solution
0 0

An advanced lab student is studying the effect of temperature on the resistance of a current carrying wire. She applies a voltage to a tungsten wire at a temperature of 52.0∘C and notes that it produces a current of 1.20 A. If she then applies the same voltage to the same wire at −88.0∘C, what current should she expect (in A)? The temperature coefficient of resistivity for tungsten is 4.50×10−3(∘C)−1. (Assume that the reference temperature is 20∘C.) A

Solution
0 0

You are an expert witness, having been hired by an attorney who is defending a wire manufacturing company in a lawsuit. The company is being sued by a firm that manufactures electronic measurement devices. The wire company provides copper wires with precision lengths and radii to be used in thermal measurement devices manufactured by the device firm. The device firm lost a major contract due to inaccuracy of their thermal measurement device. This firm is claiming that the precision of the wires provided by the wire company was not sufficient. You have inspected the wires in the laboratory and have found the lengths to be precise and the radii to be uniform, well within the specifications provided by the device firm. You report this information during the trial, and the legal team for the device firm looks frustrated. The lawyer confers with his client, jumps up, and says, "The wire company did not allow for thermal expansion of the wire! From 20∘C to 85.0∘C, thermal expansion could make a difference of several percent in the resistance of the wire!" A recess in the trial is called until the next day while you perform some calculations to determine the percentage by which thermal expansion would change the resistance of a wire so that you can report your result. (Assume the coefficient of linear expansion is 17.0×10−6(∘C)−1.) %

Solution
0 0