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)
Chapter11: Magnetic Forces And Fields
Section: Chapter Questions
Problem 28P: An electron in a TV CRT moves with a speed of 6.0107 m/s, in a direction perpendicular to Earth's...
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Hello, I really need help with part A,part b and part c I asked my professor for help but he just told me it was wrong so I just need help with all three parts and can you label them
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 Rand 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 m)
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