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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. 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 it to compute the value of p. (Answer: p= 2.4 x 10-8 22 m)

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. 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 it to compute the value of p. (Answer: p= 2.4 x 10-8 22 m)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Hello, I really need help with part A, part B,part C and part d because I have tried this problem multiple times and I keep getting the wrong answer so there any way you can help me with the problems and can you label them as well

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 (I, 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 it to compute the value of p. (Answer: p= 2.4 x 10-8 22 m)
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 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 (I, 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 it to compute the value of p. (Answer: p= 2.4 x 10-8 22 m)
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