Equipotentials and electrical field

In summary, the strength of the electrical field is determined by the voltage or electrostatic potential difference between two points in space. The closer together the equipotential lines are, the stronger the electric field. The direction of the field lines and potential arrows indicate the direction that a positive particle would move. The location from which potential is measured depends on the context, such as the designated reference point or the positive and negative plates in a capacitor.
  • #1
nweis
3
0

Homework Statement



Just a quick question. The electrical field is stronger where the voltage is higher right?
Or does it have to do with how close together the equipotential lines are?
 
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  • #2
If by "voltage" you mean "electrostatic potential difference between two separate points in space", the answer is yes.

The second question should not be an "Or". In a region where equipotentials are closer together over a distance of, say, 1 meter, the electric field is stronger there than in another region where the equipotentials are farther apart over a distance of 1 meter.

After all, the electric field is the rate of change of electrostatic potential with respect to displacement in the direction of maximum change of electric potential.
 
  • #3
Is the direction of a potential arrow the direction in which a positive particle would move?
 
  • #4
JanClaesen said:
Is the direction of a potential arrow the direction in which a positive particle would move?
"Potential arrow"? The equi-potential lines should have no arrows. They are perpendicular to the field lines. Arrows on a field line point in the direction a positive particle would move.
 
  • #5
JanClaesen said:
Is the direction of a potential arrow the direction in which a positive particle would move?

Equipotential lines do not have arrows, but field lines do. The direction of the arrow on an electric field line shows the direction in which a positive particle is accelerated.
 
  • #6
I'm sorry, it was indeed not a very clever question. Do we measure potential from the negative plate, or does that depend on the context?
 
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  • #7
It will depend on the context. There should be a designated reference point from which potential is measured, which could be the negative plate.

When a HW problem or discussion about capacitors refers to "the voltage" of the capacitor, they mean the potential difference between the positive and negative plates.

Note, getting back to the original question, the electric field inside a capacitor is constant between the two plates. The field is not stronger at the the positive plate.
 

1. What are equipotentials and how are they related to electrical fields?

Equipotentials are imaginary surfaces in an electrical field where the potential (voltage) is the same at every point. In other words, the electric field lines are always perpendicular to equipotential surfaces. This means that no work is required to move a charge along an equipotential surface.

2. How are equipotentials and electric field lines drawn?

Equipotentials are often represented by contour lines on a two-dimensional map, while electric field lines are drawn as arrows pointing in the direction of the electric field. The closer the equipotential lines or electric field lines are to each other, the stronger the electric field at that point.

3. What is the significance of equipotentials in electrical systems?

Equipotentials are important in electrical systems because they provide a way to understand the behavior of electrical fields. They help us visualize the strength and direction of the electric field, and also aid in calculating the potential difference between two points in the field.

4. How are equipotentials and electrical field strength related?

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

5. Can equipotentials exist without an electric field?

No, equipotentials cannot exist without an electric field. In order for there to be an equipotential surface, there must be no change in potential (voltage) along that surface. This can only occur in the absence of an electric field.

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