Understanding Field-Lines: Potential, Strength, and Coilness Explained

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In summary, the conversation discusses the relationship between fields, potential, and strength. It is mentioned that a field's potential lines can only cross at singularities and that potential and strength are not independent variables. The idea of potential growing spirally is also brought up, with a mention of vorticity as a possible explanation.
  • #1
smm
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fields local variables are its potential P, strenght E, and... coilness? 8)
hmm..is it possible that field-lines can twist around a center certain way that potential-lines can cross in one spot
 
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  • #2
If a field has a potential, then potential lines can cross only at singularities: points at which the potential is not well defined.

By the way, it is incorrect to think of potential and strength as independent "variables". A field is completely determined by its potential function.
 
  • #3
oops, you are right:)

i was thinking can potential grow spirally:
-field lines twist to a spiraloid around 'twister source'. what would it mean?
 
  • #4
Sounds like you are thinking of "vorticity" which is measured by the curl of the field.
 

1. What is the concept of field lines?

The concept of field lines is a visual representation of the direction and strength of an electric or magnetic field. These lines indicate the direction in which a positive charge would move if placed in the field. The closer the lines are together, the stronger the field is at that point.

2. How is potential related to field lines?

Potential is the amount of energy per unit charge at a specific point in an electric field. The potential at a point is equal to the work done per unit charge to move a test charge from infinity to that point. The potential difference between two points in an electric field is equal to the change in potential energy per unit charge.

3. How is the strength of a field represented by field lines?

The strength of an electric or magnetic field is indicated by the density of field lines. The closer the lines are together, the stronger the field is at that point. This is because the field lines are used to represent the direction and magnitude of the force that a positive charge would experience at that point.

4. What is meant by "coilinearity" in terms of field lines?

Coilinearity refers to the parallel alignment of field lines in a uniform electric or magnetic field. In such a field, all field lines are parallel and evenly spaced, indicating a constant field strength. This is often seen in the field produced by a long straight wire or a pair of parallel plates.

5. How does the shape of a coil affect its field lines?

The shape of a coil affects its field lines by causing them to curve and loop around the coil. This is because the current flowing through the coil creates a magnetic field, and the shape of the coil determines the direction and strength of this field. A tightly wound coil will have more closely packed field lines, while a loosely wound coil will have more spread out field lines.

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