Lab Analysis #2 – Magnetic Field from a Curent-Carrying Wire
Assignment: Write a lab analysis for the Lab titled “Magnetic Field from a Current-Carrying Wire.” The Lab Analysis the document discuss writing a lab analysis and include a simple example of a well written lab analysis.
Grading: The grading criteria are based on the different parts of analysis outlined in the the document. Please see the attached rubric for the grading criteria.
Lab Analysis Guidelines
The purpose of this assignment is to work on analyzing data, drawing meaningful conclusions
from the data, and supporting the conclusions with evidence and physical reasoning.
Analysis:
• Present your data/results (usually a graph or multiple graphs).
• Include units on all numeric values included in the analysis.
• Report the measured and theoretical values for any constant measured from the data (e.g.
the acceleration due to gravity), as well as the percent difference.
• State the source of the theoretical value.
Graphs
• On graphs, include axis labels, units, a title and description (e.g. Figure 1. Graph
showing… See how figures are presented in our book for examples.), best fit curve,
equation displayed, and an appropriate scale.
Explanation:
• Explain what the data/results tell you.
• State what model best describes the data.
• Describe features of the graph that support your
conclusion about the model.
• Use physical reasoning about how the system behaves in limiting cases to support your
conclusion about the model.
Equations:
• Write out the model as an equation with symbols that represent physical quantities. (See
how equations are presented in our book for examples.)
• Include the equation on its own line.
• Define any symbols used in the equations.
Uncertainty and Mistakes:
• Identify the largest source of uncertainty in the data collection. These are limitations of
the measurement tools and experimental procedure.
• Identify any mistakes made in doing the experiment, if there are any.
Format:
• Write in paragraph form with complete sentences for all descriptive sections.
• Write clearly and concisely and for a technical audience.
• Write in a first-person, active voice. (e.g., “We conclude that…” rather than “It was
concluded that…”)
• Use correct spelling, grammar, punctuation, tone, etc..
Sample Lab Analysis
Results and Analysis:
Plotting a graph of circumference vs. radius for the circles (Fig. 1) produces a linear graph with a
y-intercept of approximately zero. This implies a proportional relationship between the
circumference of a circle and its radius. The relationship can be written as:
C = kr,
where C is the circumference, r is the radius, and k is the constant of proportionality. Physically
the proportional relationship makes sense because if the circle had a radius of zero, there would
be no circle, and thus no circumference. We determined the constant of proportionality by fitting
the data with a linear function, yielding a slope of 6.26. Our measured constant of
proportionality differs by 1.9% from the well established value of 2π. The difference between
our measured value and the established value results from the accuracy of laying string around
the outside of the circle to measure its circumference.
Figure 1: Graph showing the relationship between the circumference of a circle and its radius.
ci
rc
um
fe
re
nc
e
(c
m
)
radius (cm)
Sheet1
| m | T | 1/r | 1/r^2 | ||||||
| 0.02 | 0.0189 | 0.0000189 | 50 | 25 | |||||
| 0.03 | 0.01463 | 0.00001463 | 33.3333333333 | 1111.1111111111 | |||||
| 0.04 | 0.0112 | 0.0000112 | 625 | ||||||
| 0.05 | 0.009332 | 0.000009332 | 20 | 400 | |||||
| 0.06 | 0.007789 | 0.000007789 | 16.6666666667 | 277.7777777778 | |||||
| 2500 | |||||||||
B vs r
0.02 0.03 0.04 0.05 0.06 1.8899999999999999E-5 1.4630000000000001E-5 1.1199999999999999E-5 9.3319999999999998E-6 7.7889999999999995E-6
B vs 1/r
50 33.333333333333336 25 20 16.666666666666668 1.8899999999999999E-5 1.4630000000000001E-5 1.1199999999999999E-5 9.3319999999999998E-6 7.7889999999999995E-6
B vs 1/r^2
2500 1111.1111111111111 625 399.99999999999994 277.77777777777777 1.8899999999999999E-5 1.4630000000000001E-5 1.1199999999999999E-5 9.3319999999999998E-6 7.7889999999999995E-6
B vs r
0.02 0.03 0.04 0.05 0.06 1.8899999999999999E-5 1.4630000000000001E-5 1.1199999999999999E-5 9.3319999999999998E-6 7.7889999999999995E-6
B vs 1/r
50 33.333333333333336 25 20 16.666666666666668 1.8899999999999999E-5 1.4630000000000001E-5 1.1199999999999999E-5 9.3319999999999998E-6 7.7889999999999995E-6
B vs 1/r^2
2500 1111.1111111111111 625 399.99999999999994 277.77777777777777 1.8899999999999999E-5 1.4630000000000001E-5 1.1199999999999999E-5 9.3319999999999998E-6 7.7889999999999995E-6
B vs r
0.02 0.03 0.04 0.05 0.06 1.8899999999999999E-5 1.4630000000000001E-5 1.1199999999999999E-5 9.3319999999999998E-6 7.7889999999999995E-6
B vs 1/r
50 33.333333333333336 25 20 16.666666666666668 1.8899999999999999E-5 1.4630000000000001E-5 1.1199999999999999E-5 9.3319999999999998E-6 7.7889999999999995E-6
B vs 1/r^2
2500 1111.1111111111111 625 399.99999999999994 277.77777777777777 1.8899999999999999E-5 1.4630000000000001E-5 1.1199999999999999E-5 9.3319999999999998E-6 7.7889999999999995E-6
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
0.55
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
1.05
1.1
1.15
1.2
1.25
1.3
1.35
1.4
1.45
1.5
1.55
1.6
1.65
1.7
1.75
1.8
1.85
1.9
1.95
2
2.05
2.1
2.15
2.2
2.25
2.3
2.35
2.4
2.45
2.5
2.55
2.6
2.65
2.7
2.75
2.8
2.85
2.9
2.95
3
3.05
3.1
3.15
3.2
3.25
3.3
3.35
3.4
3.45
3.5
3.55
3.6
3.65
3.7
3.75
3.8
3.85
3.9
3.95
4
4.05
4.1
4.15
4.2
4.25
4.3
4.35
4.4
4.45
4.5
4.55
4.6
4.65
4.7
4.75
4.8
4.85
4.9
4.95
5
5.05
5.1
5.15
5.2
5.25
5.3
5.35
5.4
5.45
5.5
5.55
5.6
5.65
5.7
5.75
5.8
5.85
5.9
5.95
6
6.05
6.1
6.15
6.2
6.25
6.3
6.35
6.4
6.45
6.5
6.55
6.6
6.65
6.7
6.75
6.8
-0.00086669921875
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-9.76562499999e-005
Magnetic Field
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
0.55
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
1.05
1.1
1.15
1.2
1.25
1.3
1.35
1.4
1.45
1.5
1.55
1.6
1.65
1.7
1.75
1.8
1.85
1.9
1.95
2
2.05
2.1
2.15
2.2
2.25
2.3
2.35
2.4
2.45
2.5
2.55
2.6
2.65
2.7
2.75
2.8
2.85
2.9
2.95
3
3.05
3.1
3.15
3.2
3.25
3.3
3.35
3.4
3.45
3.5
3.55
3.6
3.65
3.7
3.75
3.8
3.85
3.9
3.95
4
4.05
4.1
4.15
4.2
4.25
4.3
4.35
4.4
4.45
4.5
4.55
4.6
4.65
4.7
4.75
4.8
4.85
4.9
4.95
5
5.05
5.1
5.15
5.2
5.25
5.3
5.35
5.4
5.45
5.5
5.55
5.6
5.65
5.7
5.75
5.8
5.85
5.9
5.95
-0.00111083984375
0.0041015625
4.8828125e-005
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Magnetic Field
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
0.55
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
1.05
1.1
1.15
1.2
1.25
1.3
1.35
1.4
1.45
1.5
1.55
1.6
1.65
1.7
1.75
1.8
1.85
1.9
1.95
2
2.05
2.1
2.15
2.2
2.25
2.3
2.35
2.4
2.45
2.5
2.55
2.6
2.65
2.7
2.75
2.8
2.85
2.9
2.95
3
3.05
3.1
3.15
3.2
3.25
3.3
3.35
3.4
3.45
3.5
3.55
3.6
3.65
3.7
3.75
3.8
3.85
3.9
3.95
4
4.05
4.1
4.15
4.2
4.25
4.3
4.35
4.4
4.45
4.5
4.55
4.6
4.65
4.7
4.75
4.8
4.85
4.9
4.95
5
5.05
5.1
5.15
5.2
5.25
5.3
5.35
5.4
5.45
5.5
5.55
5.6
5.65
5.7
5.75
5.8
5.85
5.9
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0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
0.55
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
1.05
1.1
1.15
1.2
1.25
1.3
1.35
1.4
1.45
1.5
1.55
1.6
1.65
1.7
1.75
1.8
1.85
1.9
1.95
2
2.05
2.1
2.15
2.2
2.25
2.3
2.35
2.4
2.45
2.5
2.55
2.6
2.65
2.7
2.75
2.8
2.85
2.9
2.95
3
3.05
3.1
3.15
3.2
3.25
3.3
3.35
3.4
3.45
3.5
3.55
3.6
3.65
3.7
3.75
3.8
3.85
3.9
3.95
4
4.05
4.1
4.15
4.2
4.25
4.3
4.35
4.4
4.45
4.5
4.55
4.6
4.65
4.7
4.75
4.8
4.85
4.9
4.95
5
5.05
5.1
5.15
5.2
5.25
5.3
5.35
5.4
5.45
5.5
5.55
5.6
5.65
5.7
5.75
5.8
5.85
5.9
5.95
6
6.05
6.1
6.15
6.2
6.25
6.3
6.35
6.4
6.45
6.5
6.55
6.6
6.65
6.7
6.75
6.8
6.85
6.9
6.95
7
7.05
7.1
7.15
7.2
7.25
7.3
0
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