Electric Field Lines: Symmetry between Opposite Charges

In summary, the conversation discusses the symmetry of electric field lines between two oppositely charged points. While the field lines are symmetric if the charges are equal and opposite, this symmetry breaks down if the charges are not equal. However, the presence of symmetry depends on the axis being considered, with symmetry existing for the axis connecting the two charges but not for a plane perpendicular to this axis if the charges are unequal.
  • #1
ness9660
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I know that the electric field lines between two oppositely charged points are symmetric, but I can't seem tof ind any refrence as to when this symmetry breaks down.

I want to say that electric field lines do not maintain symmetry if the two charges are not equal but opposite, e.g. a -4 and +4 charges produce symmetric field lines, but -2 and 4 will not. Is this the case?
 
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  • #2
Depends on what symmetry you are talking about. About the axis that connects the two charges, I believe you will always have symmetry with just the two charges. But if you mean left-right symmetry about a plane that is between the two charges and perpendicular to the axis between them, then if the charges are not equal, then the field will not be symmetrical on the two sides of the plane.
 
  • #3


Your understanding is correct. The symmetry of electric field lines between two opposite charges only holds true when the charges are equal in magnitude. This is because the electric field is directly proportional to the magnitude of the charges, and if the charges are not equal, the electric field will not be symmetrical. In your example, the -2 and +4 charges will produce a stronger electric field on the side of the +4 charge, resulting in a non-symmetric distribution of electric field lines. It is important to note that the direction of the field lines will still be from the positive charge to the negative charge, regardless of the magnitude of the charges.
 

Related to Electric Field Lines: Symmetry between Opposite Charges

1. What are electric field lines?

Electric field lines are an abstract representation of the electric field around a charged object. They show the direction and relative strength of the electric field at different points in space.

2. How are electric field lines related to opposite charges?

Electric field lines around opposite charges are symmetrical, meaning they have the same shape and orientation. The lines originate from the positive charge and terminate at the negative charge, forming a pattern that resembles a "V" or a "U".

3. Why do electric field lines never cross?

Electric field lines never cross because they represent the direction of the electric field at a given point. If they were to cross, it would mean that the electric field has two different directions at the same point, which is physically impossible.

4. How do the density of electric field lines relate to the strength of the electric field?

The density of electric field lines is directly proportional to the strength of the electric field. This means that the closer the lines are to each other, the stronger the electric field is at that point.

5. Can electric field lines be used to calculate the magnitude of the electric field?

Yes, the magnitude of the electric field can be calculated by counting the number of field lines per unit area. The more lines there are in a given area, the stronger the electric field is at that point.

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