1. A student performs this lab using rods of length L = 18 cm. When the current is I = 7.1 A, thedistance between the balanced rods is r = 4 mm.a) Using the theoretical value of μo, calculate the magnetic field from one rod at the location of theother.b) Calculate the magnitude of the magnetic force between the rods.c) Calculate the required mass required to balance this force. CURRENT BALANCESUMMARYYou will measure the force between two current carrying wires and use this to calculate a valuefor the vacuum permeability constant μ..THEORYA wire of length L carrying a current I produces a magnetic field that at a distance r < L from thewire has magnitude(1)(2)If a second wire of length L carrying the same current I is placed parallel to the first wire it willexperience a magnetic force of magnitudeF = ILB =μ1²L2πr(3)where B is the magnetic field from the first wire, and r is the separation between the currents.If this force is exactly opposed by the weight of a mass m, then F = mg andHol²Lmg =2πrwhich can be rewritten in terms of μo asHo =HolB =2πηwhere po is the vacuum permeability constant and is equal toHo= 4 x107 T.m/A(4)(5)In this lab the replusive force between two current-carrying wires will be calculated via the weightsof known masses, and the results will be used to calculate the value of μo.2πrmg12LThis lab is extremely similar to Lab 1. In that lab you balanced an electric force to calculate &, inthis lab you will balance a magnetic force to calculate po. The experimental apparatus and labprocedures between the two labs are essentially the same.

1. A student performs this lab using rods of length L = 18 cm. When the current is I = 7.1 A, the distance between the balanced rods is r = 4 mm. a) Using the theoretical value of μo, calculate the magnetic field from one rod at the location of the other. b) Calculate the magnitude of the magnetic force between the rods. c) Calculate the required mass required to balance this force.

1. A student performs this lab using rods of length L = 18 cm. When the current is I = 7.1 A, the distance between the balanced rods is r = 4 mm. a) Using the theoretical value of μo, calculate the magnetic field from one rod at the location of the other. b) Calculate the magnitude of the magnetic force between the rods. c) Calculate the required mass required to balance this force.

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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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

1. A student performs this lab using rods of length L = 18 cm. When the current is I = 7.1 A, the
distance between the balanced rods is r = 4 mm.
a) Using the theoretical value of μo, calculate the magnetic field from one rod at the location of the
other.
b) Calculate the magnitude of the magnetic force between the rods.
c) Calculate the required mass required to balance this force.

CURRENT BALANCE
SUMMARY
You will measure the force between two current carrying wires and use this to calculate a value
for the vacuum permeability constant μ..
THEORY
A wire of length L carrying a current I produces a magnetic field that at a distance r < L from the
wire has magnitude
(1)
(2)
If a second wire of length L carrying the same current I is placed parallel to the first wire it will
experience a magnetic force of magnitude
F = ILB =
μ1²L
2πr
(3)
where B is the magnetic field from the first wire, and r is the separation between the currents.
If this force is exactly opposed by the weight of a mass m, then F = mg and
Hol²L
mg =
2πr
which can be rewritten in terms of μo as
Ho =
Hol
B =
2πη
where po is the vacuum permeability constant and is equal to
Ho= 4 x107 T.m/A
(4)
(5)
In this lab the replusive force between two current-carrying wires will be calculated via the weights
of known masses, and the results will be used to calculate the value of μo.
2πrmg
12L
This lab is extremely similar to Lab 1. In that lab you balanced an electric force to calculate &, in
this lab you will balance a magnetic force to calculate po. The experimental apparatus and lab
procedures between the two labs are essentially the same.

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