Graphs of electric field due to binary charge configuration

In summary, the direction of the electric field due to a binary charge configuration is determined by the direction of the force experienced by a positive test charge. The equation for calculating the electric field is E = kQ/r², where E is the magnitude of the field, k is Coulomb's constant, Q is the magnitude of the charge, and r is the distance between the point in space and the charge. The electric field is inversely proportional to the square of the distance between the charges. It is possible for the electric field to be zero at certain points if the two charges have equal magnitudes and are located at equal distances. The electric field can be represented graphically with a vector diagram, with the arrows indicating both the direction and
  • #1
gaurav0751
8
1
sir in the graphs of electric field due to binary charge configuration
why some curves are below x-axis and some
are above x axis
 
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  • #2
Show one of your graphs; the axes of the graph depend upon the conventions chosen for the coordinate system.
 
  • #3
i have attached graphs
 

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  • #4
Those seem to be graphs of E along the line connecting the two charges. Remember E is actually a vector: it has magnitude and direction. At some points, E is to the right (shown as positive on the graph); at other points, E is to the left (shown as negative on the graph).
 
  • #5


The curves below the x-axis represent regions where the electric field is directed in the opposite direction as compared to the curves above the x-axis. This is because the electric field is a vector quantity and its direction is determined by the direction of the force experienced by a positive test charge placed in that region. In the case of binary charge configurations, there are two charges with opposite signs, and therefore, the electric field lines around them will point in opposite directions. This results in some curves being below the x-axis and some above, representing the different directions of the electric field in those regions. Additionally, the magnitude of the electric field also varies at different points due to the varying distances from the charges, resulting in the different shapes and sizes of the curves.
 

1. How do you determine the direction of the electric field due to a binary charge configuration?

The direction of the electric field is determined by the direction of the force that a positive test charge would experience at a given point in space. The direction of the electric field is always towards the negative charge and away from the positive charge.

2. What is the equation for calculating the electric field due to a binary charge configuration?

The equation for calculating the electric field due to a binary charge configuration is E = kQ/r², where E is the magnitude of the electric field, k is the Coulomb's constant, Q is the magnitude of the charge, and r is the distance between the point in space and the charge.

3. How does the distance between the two charges affect the electric field?

The electric field is inversely proportional to the square of the distance between the two charges. This means that as the distance increases, the strength of the electric field decreases.

4. Can the electric field due to a binary charge configuration be zero?

Yes, it is possible for the electric field to be zero at certain points in space due to a binary charge configuration. This occurs when the two charges have equal magnitudes and are located at equal distances from the point in space.

5. How do you represent the electric field due to a binary charge configuration graphically?

The electric field due to a binary charge configuration can be represented graphically using a vector diagram. The direction and magnitude of the electric field are represented by arrows, with the length of the arrows indicating the strength of the electric field. The direction of the arrows follows the direction of the electric field, from the positive charge to the negative charge.

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