Why is the magnetic field stronger at this specific point?

In summary, the induced EMF in the rotating rod is larger at point R compared to point P due to the larger area of the enclosed circuit and the higher velocity of the charges at that point. This is determined by the formula for EMF, which takes into account the magnetic field, the length of the loop, and the velocity of the charges.
  • #1
selishaphysic
7
0
A rod (shown in the picture on the link) rotates around the point O in a magnetic field. It is said for sure that the induced EMF in the rod is larger at point R compared to point P. Why's that?

The picture: http://img58.imageshack.us/my.php?image=physicskx4.png
 
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  • #2
The EMF is larger because the area of the enclosed circuit is larger. The magnetic field is NOT larger, it is constant.
 
  • #3
Nick89 said:
The EMF is larger because the area of the enclosed circuit is larger. The magnetic field is NOT larger, it is constant.

Oh I meant the EMF of course. But can you please explain your answer more thoroughly I don't fully understand the situation.
 
  • #4
The EMF is given by:
[tex]\epsilon = \oint \left( \textbf{v} \times \textbf{B}\right) \cdot d\textbf{l}[/tex]
Here, B is the magnetic field, dl is a small segment of a circuit, and v is the velocity of a charge in that circuit.

If you think of the electrons in the rotating rod as charges going around in a circular circuit, then you can easily see why the EMF is larger when you get further from the origin.
First of all, the velocity v is larger, secondly the path of integration (the length of the loop) is larger.
 

1. Why is the magnetic field stronger at this specific point?

The strength of a magnetic field at a specific point is determined by the amount of magnetic flux passing through that point. This can be influenced by factors such as the distance from the source of the magnetic field, the strength of the source, and the orientation of the field at that point.

2. How does the distance from the source affect the strength of the magnetic field at a specific point?

In general, the strength of a magnetic field decreases as the distance from the source increases. This is because the magnetic flux spreads out over a larger area, resulting in a lower concentration of flux at a specific point.

3. What role does the strength of the source play in the strength of the magnetic field at a specific point?

The strength of the source directly affects the strength of the magnetic field at a specific point. As the source becomes stronger, the magnetic flux passing through a point closer to the source increases, resulting in a stronger magnetic field at that point.

4. How does the orientation of the magnetic field affect its strength at a specific point?

The orientation of the magnetic field at a specific point can greatly impact its strength. If the field lines are perpendicular to the surface at that point, the magnetic flux will be concentrated and result in a stronger field. However, if the field lines are parallel to the surface, the flux will be spread out and result in a weaker field.

5. What factors can cause the magnetic field to vary at a specific point?

Aside from the distance, strength, and orientation of the source, other factors such as the presence of other magnetic fields or materials can also affect the strength of the magnetic field at a specific point. Additionally, changes in the source or the surrounding environment can also cause fluctuations in the strength of the field at a specific point.

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