Interpretating magnetic field

In summary, a magnetic field is a detectable force in a region of space, measured using a magnetometer. It is typically measured in units of tesla or gauss. The main difference between a magnetic field and an electric field is the cause of the force. Magnetic fields can affect objects and materials by causing them to move or align themselves, and have practical applications in navigation, medical imaging, and electricity generation. They also play a role in understanding the Earth's magnetic field.
  • #1
Hello, I have recently been doing homework about magnetic dipoles, and one doubt has come to my mind; Does a dipole pointing in ine direction produces a negative field in the contrary?.
http://en.wikipedia.org/wiki/Dipole#mediaviewer/File:VFPt_dipole_point.svg
That is what this image seems to sugest.
And the equation http://data:image/jpeg;base64,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 seems to comfirm it for negative r, but for me this seems a little weird.
Can anyone confirm this?
Since the images don't work, the first one is the standard drawing of the dipole's field and the second is the standar formula for B, the first one which appears on wikipedia
 
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  • #2
What do you mean by 'negative'? Magnetic field is usually represented as a 3-D vector field. I don't the negativity of a vector field is actually defined since it is a geometrical object. Perhaps, you mean the components in a specific coordinate system. But then you need to define the coordinate system.

And which bit exactly that you feel weird about?
 
  • #3
Actually I am trying to apply Lenz's law to a circular wire and a dipole which is moving on the z axis. The wire is on the plane z=0 and the dipole is at z>0 on the centre of the wire, so it is the z coordinate the component the one which is moving.
And what I feel weir about is that I normaly don't extract the geomretrical meaning of a drawing, but I focus on extracting information from the equations I have at hand, so I don't have much experience with this.
 
  • #4
I think along the central axis, the magnetic flux density is alone the same direction. It is a common feature in sourceless fields to satisfy Gauss Laws, but to satisfy Ampere's law the off-axis z components have to be negative in some regions.

The drawing of magnetic field is representing the direction of flux density, and I think it is very literal. I do not understand where to confuse about
 
  • #5
Well, I was confused about how the interpretation of the camp lines passing through a region of space and how the movement of the dipole changed them, but I have already understood it. Thanks for your anwser.
 

What is a magnetic field and how is it measured?

A magnetic field is a region in space where a magnetic force can be detected. It is measured using a device called a magnetometer, which can detect the strength and direction of the magnetic field.

What are the units of measurement for magnetic fields?

Magnetic fields are typically measured in units of tesla (T) or gauss (G). One tesla is equal to 10,000 gauss.

What is the difference between a magnetic field and an electric field?

A magnetic field is caused by the movement of electrically charged particles, while an electric field is caused by stationary electric charges.

How do magnetic fields affect objects and materials?

Magnetic fields can cause objects and materials that are sensitive to magnetic forces, such as iron or certain metals, to move or align themselves in the direction of the magnetic field. They can also induce electric currents in conductive materials.

What are the practical applications of interpreting magnetic fields?

Interpreting magnetic fields has many practical applications, such as in navigation, medical imaging (MRI), and electricity generation and transmission. It is also important in understanding the behavior of the Earth's magnetic field and its impact on our planet.

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