Finding permability of free space from Magnetic Field vs. Current graph

In summary, the purpose of finding the permeability of free space from a magnetic field vs. current graph is to determine the value of the fundamental constant, which is crucial in calculating magnetic field strength. To calculate it, the equation μ0 = 2πd/B is used, with units typically expressed in Tesla meters per ampere (T·m/A). It is important to find the permeability of free space to understand and describe magnetic field behavior and is a necessary constant in equations related to electromagnetism. Factors such as experimental errors and external influences can affect the accuracy of the results and should be controlled for.
  • #1
BrownPrincezz
5
0
I graphed Magnetic Field (T) vs Current (A) and my slope was equal to 0.0012 which is off by 10^-3. Can someone suggest why this could be happening?
 
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  • #2
What data did you use to plot the graph?
 
  • #3
rock.freak667 said:
What data did you use to plot the graph?

I used the Magnetic field data in Gauss (I did convert it) and Current in Amperes

http://i41.tinypic.com/auic6o.jpg this is what it looks like
 
  • #4
Current (A)
0.1
0.175
0.25
0.325
0.4
0.475
0.55
0.625
0.7
0.775
0.85
0.925
1
Magnetic field (G)
0
0.8
1.7
2.6
3.5
4.3
5.3
6.1
7
7.8
8.8
9.6
10.6
 
  • #5


There are a few possible reasons why your slope may be off by 10^-3. One possibility is that there may be experimental errors or uncertainties in your measurements of magnetic field and current. It is important to carefully calibrate and check your equipment to ensure accurate readings. Another possibility is that there may be external factors affecting your results, such as electromagnetic interference or magnetic fields from nearby objects. Additionally, the material and geometry of your setup can also affect the relationship between magnetic field and current, so it is important to consider these factors when analyzing your data. It may also be helpful to repeat the experiment multiple times and take an average of your results to minimize any potential errors. Overall, it is important to carefully consider all factors and sources of error when analyzing experimental data and to ensure proper experimental techniques are used to obtain accurate results.
 

1. What is the purpose of finding the permeability of free space from a magnetic field vs. current graph?

The purpose of finding the permeability of free space from a magnetic field vs. current graph is to determine the value of the permeability constant, which is a fundamental constant in physics. It is used to calculate the strength of magnetic fields and plays a crucial role in many equations related to electromagnetism.

2. How is the permeability of free space calculated from a magnetic field vs. current graph?

To calculate the permeability of free space from a magnetic field vs. current graph, we need to use the equation μ0 = 2πd/B, where μ0 is the permeability of free space, d is the distance between the current-carrying wire and the magnet, and B is the magnetic field strength. This equation can be derived from the force equation for a current-carrying wire in a magnetic field.

3. What are the units of permeability of free space?

The units of permeability of free space are typically expressed in Tesla meters per ampere (T·m/A). However, in some cases, it may also be expressed in Henrys per meter (H/m) or Newtons per ampere squared (N/A^2).

4. Why is it important to find the permeability of free space?

Finding the permeability of free space is important because it allows us to understand and describe the behavior of magnetic fields. It is also a necessary constant in many equations related to electromagnetism, such as Ampere's law and Faraday's law.

5. Are there any factors that can affect the accuracy of finding the permeability of free space from a magnetic field vs. current graph?

Yes, there are a few factors that can affect the accuracy of finding the permeability of free space from a magnetic field vs. current graph. These include experimental errors, such as measurement errors or imperfect conditions, and external factors like the presence of other magnetic fields or interference from nearby objects. It is important to control these variables to ensure the accuracy of the results.

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