Otis Singleton
The concept of whether particles feel their own electric force is a complex topic in physics, involving electromagnetic fields and forces. In classical physics, if a charged particle felt its own electric field, it would experience self-acceleration, which would violate Newton's third law and break the conservation of momentum. However, in quantum field theory, the mass of a charged particle is considered finite, and the wave function of an electron always has a nonzero radius due to Heisenberg's Uncertainty Principle. This allows for the existence of a point-like electron. Additionally, the presence of an electric field does not create an electric force, but rather the relative motion of the charge and a magnet results in the creation of an electric field.
| Characteristics | Values |
|---|---|
| Charged particles create fields everywhere in space | Fields are only felt by another charged particle in the same location |
| Electric fields exert a force on any charged particle | The charged particle that creates the electric field is called a source charge |
| The magnitude of the force experienced by two charges is the same | The force exerted on each other is equal |
| The force exerted by an electric field depends on the distance | If the distance is increased by a factor of 3, the force is reduced by a factor of 9 |
| The force exerted by an electric field is instantaneous | In reality, there is a finite propagation speed equal to the speed of light in a vacuum |
| The mass of a charged point particle is finite due to regularization procedures | This is explained by the fact that the wavefunction of an electron always has a nonzero radius due to Heisenberg's Uncertainty Principle |
| The Wheeler-Feynman absorber theory | The excess resistance of a charged particle to changes in its state of motion is due to advanced waves |
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What You'll Learn
Charged particles do not interact with their own fields
The concept of a charged particle interacting with its own electric field is a complex one, and there are differing viewpoints on the matter.
Some sources argue that charged particles do not interact with their own fields. This assertion raises questions about the origin of the "radiation reaction" force, which is usually considered to arise from the interaction of a particle with its own field. One alternative explanation is the Wheeler-Feynman absorber theory, which attributes the resistance of a charged particle to changes in its state of motion to advanced waves from an array of absorbers in the future. This theory suggests that the waves from these future absorbers are excited by the retarded waves emanating from the particle itself. Additionally, it is suggested that the charged particle is the field itself, made of "field" and not "particle".
On the other hand, some sources argue that a charge always interacts with its own field. This interaction is said to be one of the causes of infinities and radiative corrections in the theory of quantum electrodynamics. The static electric field around an electron, for example, is mediated by virtual photons, which are off-mass shell and not bound by all laws of physics. When an electron accelerates, it interacts with its near and far fields, creating electromagnetic waves and photons.
The concept of a charged particle interacting with its own electric field is further complicated by the abstract notion of a "test charge". This hypothetical concept describes a tiny charge that is influenced by the Lorentz force due to the electromagnetic field but does not impact the field itself. However, it is understood that any actual charged body will influence the electromagnetic field, as demonstrated by Maxwell's equations. The electromagnetic field resulting from a charged body will have non-zero values at the surface and inside the body, indicating potential energy resulting from the interaction of the charged body with its own field.
In summary, the idea of charged particles interacting with their own electric fields is a multifaceted topic with various perspectives and complexities. While some theories suggest that charged particles do not interact with their own fields, others argue that they do, leading to a range of consequences and considerations in the field of physics.
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A charged particle is the field
The concept of a charged particle's relationship with its own electric field is a complex one, with various schools of thought offering different interpretations. Classical electrodynamics suggests that if a charged particle felt its own electric field, it would experience a force, resulting in self-acceleration. This idea, however, presents several challenges, including the violation of the conservation of momentum.
To address these issues, some theories propose redefining a charged body as the mechanical body plus its electromagnetic field. This approach, used in quantum field theory, allows for the consideration of the electrodynamic mass and regularization procedures, resulting in a finite mass for charged particles.
Another perspective suggests that the charged particle is the field itself, made of "field" rather than "particle". This view aligns with the concept of everything being a field, where particles are disturbances in a field. For example, electrons and quarks are seen as bumps in a field, and forces are transmitted through these fields.
In electromagnetism, it is common to model interactions by assuming that charged particles create fields everywhere in space. These fields are only felt when another charged particle is present in that specific location. This model allows for the exploration of various scenarios, such as the impact of wiggling a charge at one point on another charged particle at a different point.
While the electric field exerts a force on charged particles, it is important to note that it neither attracts nor repels them. Instead, the electric field is akin to the ocean water exerting an upward buoyant force on a submarine, neither attracting nor repelling it. The electric field exists in the region around the source charge, whether or not there is another charged particle for it to act upon.
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The electric field does not create an electric force
The concept of whether a charged particle feels its own electric force is a complex one, and the answer depends on the specific context and interpretation.
In classical electromagnetism, the electric field of a single charge or group of charges describes their ability to exert attractive or repulsive forces on another charged object. This implies that the presence of two charges is necessary for these forces to occur, as they are exerted mutually. The electric field, in this case, is associated with the capacity for interaction, rather than being the direct source of the force.
However, when considering the concept of self-interaction or self-acceleration, the idea of a charged particle feeling its own electric force becomes problematic. According to Newton's third law, if a charged particle exerted a force on itself, there would be no apparent source for the reaction force, leading to a violation of the conservation of momentum. This suggests that a charged particle does not create an electric force acting on itself.
In quantum field theory, the mass of a charged point particle is considered finite due to regularization procedures, and the wavefunction of an electron always has a nonzero radius, as per Heisenberg's Uncertainty Principle. This allows for the existence of a point-like electron, indicating that the electron's own electric field does not create a force acting on itself.
Additionally, the Wheeler-Feynman absorber theory provides an alternative explanation for radiation reaction, suggesting that the excess resistance of a charged particle to changes in its state of motion is due to advanced waves emanating from an array of absorbers in the future, rather than the interaction with its own field.
While the traditional understanding of accelerated charges suggests that the force originates from the interaction of the particle with its own field, it is important to distinguish between the particle and its associated field. This distinction helps clarify that the electric field itself does not create an electric force acting on the charged particle.
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A static body cannot exert force on itself
The concept of a particle exerting force on itself is a complex one, and there is no definitive answer to whether particles feel their own electric force. However, the idea that a static body cannot exert force on itself is based on the principle of conservation of momentum. This is explained by Newton's First Law, which states that an object at rest or moving at a constant velocity will remain in that state unless acted upon by an external net force. In other words, if there is no net force acting on a body, it will remain at rest or move at a constant velocity.
Now, let's consider the scenario of a static body exerting force on itself. If a force is applied to an object at rest, and this force is less than or equal to the frictional force or any opposing force, the object will not move. This is because the vector sum of the forces is zero, resulting in no net force acting on the body. Therefore, a static body cannot exert a force on itself because it would violate the conservation of momentum.
However, it's important to note that the concept of self-interaction comes into play when considering the electromagnetic field. In classical mechanics, a charged particle can be viewed as interacting with itself through its electromagnetic field. This interaction can lead to self-acceleration, which seems to contradict Newton's Third Law, as there is no apparent reaction force.
To address this contradiction, some theories, such as the Wheeler-Feynman absorber theory, propose alternative explanations for radiation reaction. Additionally, in quantum mechanics, the concept of a particle as a point-like entity is challenged, and the wavefunction of a particle, as described by Heisenberg's Uncertainty Principle, always has a nonzero radius. This implies that the particle is not truly isolated and that its self-interaction is mediated by a second physical system.
While the idea of a static body exerting force on itself may seem counterintuitive, it is important to recognize that our understanding of particle behavior is constantly evolving. Further research and theories will help us gain a deeper insight into the complex nature of particle interactions, including the role of electromagnetic fields and the potential for self-interaction.
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Charged particles create fields everywhere in space
Charged particles create electric fields everywhere in space. These fields are only felt when another charged particle is in a location where they are present. An electric field is an invisible entity that exists in the region around a charged particle. It is caused by the charged particle. The effect of an electric field is to exert a force on any charged particle that finds itself at a point in space where the electric field exists.
The electric field at an empty point in space is the force-per-charge-of-would-be-victim at that empty point in space. The charged particle causing the electric field to exist is called a source charge. The electric field exists in the region around the source charge whether or not there is another charged particle for the electric field to exert a force upon. At every point in space where the electric field exists, it has both magnitude and direction, and so the electric field is a vector at each point in space at which it exists.
In electromagnetism, it is better to ask general questions, such as: if we had a bunch of charges located at point A, what force would a hypothetical charged particle feel at point B? To answer such questions, it is easiest to model everything by assuming that charged particles create fields everywhere in space.
In quantum field theory, the mass of a charged point particle is finite due to regularization procedures. This means we can have a point-like electron thanks to quantum physics. Intuitively, this can be explained by the fact that the wavefunction of an electron always has a nonzero radius due to Heisenberg's Uncertainty Principle.
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Frequently asked questions
No, a static body cannot exert a force on itself as that would violate the conservation of momentum. However, in quantum field theory, the mass of a charged point particle is finite due to regularization procedures.
An electric field is an invisible entity that exists in the region around a charged particle. It exerts a force on any charged particle that has a charge and is at a point in space where the electric field exists.
Charged particles create fields everywhere in space, and these fields are only felt when another charged particle is in a location where they're present.
