Reference point of voltage for an electric field

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Voltage in an electric field is defined as the difference in potential energy between two points, with the reference point typically being ground or another specified location. When voltage is stated without a reference, it is often assumed to be relative to ground, which is considered zero potential. The position of a charge within the electric field affects its potential energy, as demonstrated by charges placed near positively and negatively charged electrodes. In practical applications, especially in circuits, the reference point can vary, such as using the car body as a ground in automotive systems. Understanding these concepts is crucial for accurately interpreting voltage and its implications in electrical systems.
Bengo
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When you are told that V is the voltage at a given point in an electric field and voltage is the difference in potential energy between two points/charge, where is the other point supposed to be? Thanks
 
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When someone says that "V is the voltage at a given point" and doesn't tell you what the other point that's relative to is... They're assuming that it is clear what they mean from the context. Nearly always, the other point will be ground.
 
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I also don't quite understand what is meant by voltage is a property of the field or that it is position dependent.
 
Bengo said:
I also don't quite understand what is meant by voltage is a property of the field or that it is position dependent.

Consider the electric field between two charged electrodes placed 1 meter apart. One is negatively charged, the other is positive. A positive charge is placed near the positive electrode (Point A) and another is placed midway between the electrodes (Point B). Both will accelerate towards the negative electrode (Point C), with the charge at point A gaining more energy before it hits the negative electrode than the charge placed at point B. So we can say that a charge placed at point A has more potential energy than one placed at point B. Since voltage is a difference in electric potential, point A has a greater voltage than point B, when both points are referenced to point C.

Make sense?
 
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Bengo said:
When you are told that V is the voltage at a given point in an electric field and voltage is the difference in potential energy between two points/charge, where is the other point supposed to be? Thanks
In an electric circuit, the reference is usually taken to be Earth (an actual connection to the Earth) or a local 'Ground', which is designated to be Zero Potential. This, latter, is arbitrary. Engineers can be sloppy in this regard and tend to take this for granted but, when dealing with small Voltages, it can be very relevant.
Car electrics used to have the + terminal of the battery connected to the car body and it was called a 'Positive Earth' system. Nowadays, it is universal (??afaik) to use a 'Negative Earth' in cars. Everything about the functioning of the circuitry would be the same but the wire connections might be different in the two cases because the body is often used for an "Earth Return"
 
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It may be shown from the equations of electromagnetism, by James Clerk Maxwell in the 1860’s, that the speed of light in the vacuum of free space is related to electric permittivity (ϵ) and magnetic permeability (μ) by the equation: c=1/√( μ ϵ ) . This value is a constant for the vacuum of free space and is independent of the motion of the observer. It was this fact, in part, that led Albert Einstein to Special Relativity.
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