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Problem 1: A scientist measuring the resistivity of a new metal alloy left her ammeter in another lab, but she does have a magnetic field probe. So she creates an 1 = 6.5 m long, D = 2.0 mm diameter wire of the material, connects it to a AV = 1.5 V battery, and measures a B = 3.0 mT magnetic field Ar = 1.0 mm from the surface of the wire. What is the material's resistivity? a) Express the resistivity of the material, p, in terms of the resistance R and the geometric characteristics (1, D) of the wire. In steps a) - c), work only with symbols, do not use numerical values of the parameters.

Problem 1: A scientist measuring the resistivity of a new metal alloy left her ammeter in another lab, but she does have a magnetic field probe. So she creates an 1 = 6.5 m long, D = 2.0 mm diameter wire of the material, connects it to a AV = 1.5 V battery, and measures a B = 3.0 mT magnetic field Ar = 1.0 mm from the surface of the wire. What is the material's resistivity? a) Express the resistivity of the material, p, in terms of the resistance R and the geometric characteristics (1, D) of the wire. In steps a) - c), work only with symbols, do not use numerical values of the parameters.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Hello I need help with part A,part b,part c and part d because I don't understand the problem is there any chance that you can help me with it and can you also label them thank you so so so much 

Problem 1: A scientist measuring the resistivity of a new metal alloy left her ammeter in another lab, but she does have a magnetic field probe. So she creates an l = 6.5 m long, D = 2.0 mm diameter wire of the material, connects it to a AV = 1.5 V battery, and measures a B = 3.0 mT magnetic field Ar = 1.0 mm from the surface of the wire. What is the material's resistivity? a) Express the resistivity of the material, p, in terms of the resistance R and the geometric characteristics (1, D) of the wire. In steps a) - c), work only with symbols, do not use numerical values of the parameters. b) Express the resistance of the wire R in terms of the potential of the battery and the current I flowing through the wire. c) Express the current I through the wire in terms of the magnetic field B and the relevant distances (you need to use the formula for the magnetic field created by a long straight wire). Notice that Ar in this problem means the distance from the surface, not from the center of the wire as in the formula for the magnetic field. d) Combining your answers from parts a)-c), work out a symbolic formula for the resistivity p in terms of all the parameters given in the problem and the relevant physical constants. Use of p. (Answer: p= 2.4 x 10-8 22 m) to compute the value
Transcribed Image Text:Problem 1: A scientist measuring the resistivity of a new metal alloy left her ammeter in another lab, but she does have a magnetic field probe. So she creates an l = 6.5 m long, D = 2.0 mm diameter wire of the material, connects it to a AV = 1.5 V battery, and measures a B = 3.0 mT magnetic field Ar = 1.0 mm from the surface of the wire. What is the material's resistivity? a) Express the resistivity of the material, p, in terms of the resistance R and the geometric characteristics (1, D) of the wire. In steps a) - c), work only with symbols, do not use numerical values of the parameters. b) Express the resistance of the wire R in terms of the potential of the battery and the current I flowing through the wire. c) Express the current I through the wire in terms of the magnetic field B and the relevant distances (you need to use the formula for the magnetic field created by a long straight wire). Notice that Ar in this problem means the distance from the surface, not from the center of the wire as in the formula for the magnetic field. d) Combining your answers from parts a)-c), work out a symbolic formula for the resistivity p in terms of all the parameters given in the problem and the relevant physical constants. Use of p. (Answer: p= 2.4 x 10-8 22 m) to compute the value
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