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.

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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.
Transcribed Image Text: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.
Transcribed Image Text: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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