Question about voltage in terms of dipoles

In summary: When it reaches the - charge, its KE is at a maximum, its PE is at a minimum (negative), and the sum KE + PE is still zero. In summary, the voltage between two charges is defined as the potential difference between the two points, and cannot be measured at a single point. When considering electric dipoles, the potential is not uniquely defined and must be measured relative to a chosen point. The sum of initial PE and KE is equal to the sum of final PE and KE, regardless of the motion of the test charge.
  • #1
understand.
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If we have two charges, one at, say, 1C and one at, say, -1C, and they are separated by a distance of 1 meter, why is the voltage directly between them zero?

A positive test charge will move towards the negative charge, and gain kinetic energy, but it started with no potential energy, and initial PE minus final KE has to equal zero, doesn't it? How can this be if you started with zero potential energy?

I understand that voltage is potential, but you can multiply by the charge of the test point to get energy, can't you?
 
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  • #2
understand. said:
If we have two charges, one at, say, 1C and one at, say, -1C, and they are separated by a distance of 1 meter, why is the voltage directly between them zero?

A positive test charge will move towards the negative charge, and gain kinetic energy, but it started with no potential energy, and initial PE minus final KE has to equal zero, doesn't it? How can this be if you started with zero potential energy?

I understand that voltage is potential, but you can multiply by the charge of the test point to get energy, can't you?
Voltage is potential difference, which is to say that it is the difference between the potential at two points, it is not defined for a single point - it can only be defined for a path.

Perhaps you could clarify your question?

Edit: I've just looked at the title of your post now and realized that your question relates to electric dipoles. Consider the diagram below
edip2.gif

The horizontal line represents an equipotential surface, in other words the potential of the electric field at any point along this line (or surface in 3D) has the same value. Note also that the potential is not uniquely defined, which means that there is now absolute potential, i.e. the potential must be measure relative to a path (or two points). This means that we can arbitrarily chose a point in space that we consider to have zero potential and measure the potential relative to this point.

Do you follow?
 
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  • #3
understand. said:
initial PE minus final KE has to equal zero, doesn't it?

No. (Initial PE + initial KE) equals (final PE + final KE). In your scenario, the positive test charge is initially halfway between the + and - charges. Its initial KE and initial PE are both zero, so the sum KE + PE is zero. Then it moves towards the - charge, under the influence of the electric forces exerted by the + and - charges. Its KE is now positive and its PE is now negative, and the sum KE + PE is still zero.
 

FAQ: Question about voltage in terms of dipoles

What is voltage in terms of dipoles?

Voltage in terms of dipoles refers to the electric potential difference between the positive and negative poles of a dipole. It is a measure of the force that drives electric charges from one pole to the other.

How is voltage related to the separation distance of dipoles?

The voltage between dipoles is directly proportional to the separation distance between the poles. As the distance increases, the voltage decreases and vice versa.

What happens to voltage when the dipole moment changes?

If the dipole moment of a system changes, the voltage will also change. An increase in dipole moment will result in an increase in voltage, and a decrease in dipole moment will result in a decrease in voltage.

Can voltage be measured between two dipoles in a non-linear arrangement?

Yes, voltage can be measured between two dipoles in a non-linear arrangement. However, the voltage will not be constant and will vary depending on the distance between the poles and the orientation of the dipoles.

What is the unit of measurement for voltage in terms of dipoles?

The SI unit for voltage is volts (V). In terms of dipoles, voltage is often measured in millivolts (mV) or microvolts (μV) due to the small distances involved.

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