Obtain a value of pi from your graphs and compare with the 'theoretical' value.

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Chapter1: Units, Trigonometry. And Vectors
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Question: The permeability constant for a vacuum, u0, has a value of 4pi x10-7 Tm/A. Assuming the equation B=u0nI applies to the slinky. Obtain a value of pi from your graphs and compare with the 'theoretical' value.

Graph part 1:
Magnetic field vs. Current in solenoid
Magnetic field
Magnetic Field B (mT)
0.25
Magnetic field
0.20
0.15
0.10
0.05
0.00
0.4
0.3
0.2
Graph part 2:
Magnetic field vs. Length of solenoid
Magnetic field
0.1
0.5
0.0
-
0.5
1.0
0.11*x + 0.0506 R² = 0.812
1.0
Current in solenoid I (A)
1.5
-0.164*x + 0.398 R² = 0.958
Length of solenoid
1.5
2.0
2.0
Transcribed Image Text:Graph part 1: Magnetic field vs. Current in solenoid Magnetic field Magnetic Field B (mT) 0.25 Magnetic field 0.20 0.15 0.10 0.05 0.00 0.4 0.3 0.2 Graph part 2: Magnetic field vs. Length of solenoid Magnetic field 0.1 0.5 0.0 - 0.5 1.0 0.11*x + 0.0506 R² = 0.812 1.0 Current in solenoid I (A) 1.5 -0.164*x + 0.398 R² = 0.958 Length of solenoid 1.5 2.0 2.0
1 +
Data table 1:
Current in solenoid / (A)
Data table 2:
Length of solenoid (m)
Number of turns
0.5
1.0
1.5
2.0
Turns/m (m¹)
0.5
1.0
1.5
Length of solenoid (m)
2.0
Turns/meter n (m¯¹)
Number of turns in Slinky
84
84
84
84
Magnetic field B (mT)
0.07336
0.2005
0.2319
0.2461
1 m
84 turns
84 turns/m
Magnetic field B (mT)
84
0.3271
0.2319
0.1217
0.09049
Transcribed Image Text:1 + Data table 1: Current in solenoid / (A) Data table 2: Length of solenoid (m) Number of turns 0.5 1.0 1.5 2.0 Turns/m (m¹) 0.5 1.0 1.5 Length of solenoid (m) 2.0 Turns/meter n (m¯¹) Number of turns in Slinky 84 84 84 84 Magnetic field B (mT) 0.07336 0.2005 0.2319 0.2461 1 m 84 turns 84 turns/m Magnetic field B (mT) 84 0.3271 0.2319 0.1217 0.09049
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